| Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (2698 entries) |
| Notation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (155 entries) |
| Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (3 entries) |
| Variable Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (9 entries) |
| Library Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (427 entries) |
| Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (855 entries) |
| Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (36 entries) |
| Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (6 entries) |
| Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (12 entries) |
| Projection Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (2 entries) |
| Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (28 entries) |
| Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (10 entries) |
| Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1154 entries) |
| Record Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1 entry) |
Global Index
A
Abelian [library]AbelianGroup [library]
AbelianMonoid [library]
AbelianPushoutPullback [library]
AbelianToAdditive [library]
abgrs [library]
abmonoids [library]
Abmonoids_Tactics [library]
Actions [library]
AC_iff_ADC_and_LEM [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
AC_to_LEM [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
AC_impl2 [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
Adamek [library]
add [definition, in UniMath.Foundations.Preamble]
Additive [library]
AdditiveFunctors [library]
Add2Cell [library]
adequacy [lemma, in UniMath.Partiality.PCF]
adequacy [section, in UniMath.Partiality.PCF]
adequacy_alt [lemma, in UniMath.Partiality.PCF]
adequacy_alt_statement [definition, in UniMath.Partiality.PCF]
adequacy_statement [definition, in UniMath.Partiality.PCF]
adequacy_allterms [definition, in UniMath.Partiality.PCF]
adequacy_fixp [definition, in UniMath.Partiality.PCF]
adequacy_lubs [definition, in UniMath.Partiality.PCF]
adequacy_s [definition, in UniMath.Partiality.PCF]
adequacy_k [definition, in UniMath.Partiality.PCF]
adequacy_ifz [definition, in UniMath.Partiality.PCF]
adequacy_pred [definition, in UniMath.Partiality.PCF]
adequacy_succ [definition, in UniMath.Partiality.PCF]
adequacy_zero [definition, in UniMath.Partiality.PCF]
adequacy_step [definition, in UniMath.Partiality.PCF]
adequacy_bottom [definition, in UniMath.Partiality.PCF]
adequacy_relation [definition, in UniMath.Partiality.PCF]
adjev [definition, in UniMath.Foundations.PartA]
adjev2 [definition, in UniMath.Foundations.PartA]
AdjointUnique [library]
Adjunctions [library]
Adjunctions [library]
AffineLine [library]
Algebras [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
All [library]
AlternativeProofs [library]
alt_adequacy [lemma, in UniMath.Partiality.PCF]
Apartness [library]
apathpr1toprUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
ApFunctor [library]
app [constructor, in UniMath.Partiality.PCF]
appstep [constructor, in UniMath.Partiality.PCF]
app_refltrans_smallstep [lemma, in UniMath.Partiality.PCF]
Archimedean [library]
ArrowCategory [library]
Auxiliary [library]
aux_lemmas [library]
AxiomOfChoice [definition, in UniMath.MoreFoundations.AxiomOfChoice]
AxiomOfChoice [library]
AxiomOfChoice_surj [definition, in UniMath.MoreFoundations.AxiomOfChoice]
AxiomOfDecidableChoice [definition, in UniMath.MoreFoundations.AxiomOfChoice]
B
bandfmap [definition, in UniMath.Foundations.PartA]base [constructor, in UniMath.Partiality.PCF]
Base [library]
base_total2_paths [lemma, in UniMath.Foundations.PartA]
base_paths [lemma, in UniMath.Foundations.PartA]
base_step [constructor, in UniMath.MoreFoundations.ClosureOfHrel]
base_paths_pair_path_in2 [lemma, in UniMath.MoreFoundations.PartA]
bhfiber [definition, in UniMath.Foundations.PartC]
Bicat [library]
bicategory [library]
BicategoryLaws [library]
BicategoryOfBicat [library]
BicatOfBicategory [library]
BicatOfCats [library]
Bifunctor [library]
BinaryOperations [library]
bincoproducts [library]
bincoproducts [library]
BindingSigToMonad [library]
BinDirectSums [library]
binop [definition, in UniMath.Foundations.PartA]
BinProductOfSignatures [library]
binproducts [library]
binproducts [library]
BinSumOfSignatures [library]
bool [inductive, in UniMath.Foundations.Preamble]
boolascoprod [definition, in UniMath.Foundations.PartA]
boolchoice [definition, in UniMath.Foundations.PartA]
booleq [definition, in UniMath.Foundations.PartB]
boolset [definition, in UniMath.Foundations.Sets]
boolsumfun [definition, in UniMath.Foundations.PartA]
boolsumtocoprod [definition, in UniMath.Foundations.PartA]
bool_to_type [definition, in UniMath.Foundations.PartA]
BoundedSearch [library]
brel [definition, in UniMath.Foundations.Sets]
breltodecrel [definition, in UniMath.Foundations.Sets]
C
carrier [definition, in UniMath.Foundations.Sets]carrierofPartialOrder [definition, in UniMath.Foundations.Sets]
carrierofpo [definition, in UniMath.Foundations.Sets]
carrierofposet [definition, in UniMath.Foundations.Sets]
carrierofposetmorphism [definition, in UniMath.Foundations.Sets]
carrierofPreorderedSet [definition, in UniMath.Foundations.Sets]
carrierpair [definition, in UniMath.Foundations.Sets]
carrier_set [definition, in UniMath.MoreFoundations.Subtypes]
carrier_subset [definition, in UniMath.Foundations.Sets]
Cat [library]
CategoricalRecursionSchemes [library]
Categories [library]
CategoriesOfMonoids [library]
CategoriesWithBinOps [library]
CategoryEquality [library]
CategoryTop [library]
category_binops [library]
catiso [library]
Cats [library]
CCS [library]
centralfiber [lemma, in UniMath.Foundations.PartA]
Chains [library]
Chains [library]
char_pcf_propositions' [definition, in UniMath.Partiality.PCF]
char_pcf_propositions [definition, in UniMath.Partiality.PCF]
choice [definition, in UniMath.MoreFoundations.DecidablePropositions]
choice_compute_no [definition, in UniMath.MoreFoundations.DecidablePropositions]
choice_compute_yes [definition, in UniMath.MoreFoundations.DecidablePropositions]
chooser [definition, in UniMath.MoreFoundations.DecidablePropositions]
Circle [library]
ClosureOfHrel [library]
Cochains [library]
coconusf [definition, in UniMath.Foundations.PartA]
coconusfromt [definition, in UniMath.Foundations.PartA]
coconusfromtpair [definition, in UniMath.Foundations.PartA]
coconusfromtpr1 [definition, in UniMath.Foundations.PartA]
coconustot [definition, in UniMath.Foundations.PartA]
coconustotpair [definition, in UniMath.Foundations.PartA]
coconustotpr1 [definition, in UniMath.Foundations.PartA]
Codomain [library]
coequalizers [library]
coequalizers [library]
Cofunctormap [library]
CohomologyComplex [library]
cokernels [library]
cokernels [library]
colimits [library]
Colimits [library]
CommaCategories [library]
commhfp [definition, in UniMath.Foundations.PartA]
commrigs [library]
commrings [library]
commsqstr [definition, in UniMath.Foundations.PartA]
commsqstrtocomplxstr [lemma, in UniMath.Foundations.PartA]
commsqZtohfp [definition, in UniMath.Foundations.PartA]
commsqZtohfphomot [definition, in UniMath.Foundations.PartA]
commsqZtohfphomot' [definition, in UniMath.Foundations.PartA]
compevmapset [definition, in UniMath.Foundations.Sets]
compfun [definition, in UniMath.Foundations.Sets]
compfuncomp [definition, in UniMath.Foundations.Sets]
compfunpair [definition, in UniMath.Foundations.Sets]
compl [definition, in UniMath.Foundations.PartC]
complementary [definition, in UniMath.Foundations.PartB]
complementaryDecisions [lemma, in UniMath.MoreFoundations.DecidablePropositions]
ComplementaryPair [definition, in UniMath.MoreFoundations.DecidablePropositions]
complementary_to_neg_iff [definition, in UniMath.Foundations.PartB]
Complexes [library]
complpair [definition, in UniMath.Foundations.PartC]
complxstr [definition, in UniMath.Foundations.PartA]
complxstrtocommsqstr [lemma, in UniMath.Foundations.PartA]
compl_weq_compl_ne [lemma, in UniMath.MoreFoundations.NegativePropositions]
compl_ne_weq_compl [lemma, in UniMath.MoreFoundations.NegativePropositions]
compl_ne_pair [definition, in UniMath.MoreFoundations.NegativePropositions]
compl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
CompositesAndInverses [library]
Composition [library]
Compositor [library]
ComprehensionC [library]
cones [library]
confirm_not_equal [definition, in UniMath.Foundations.Sets]
confirm_equal [definition, in UniMath.Foundations.Sets]
connectedcoconusfromt [lemma, in UniMath.Foundations.PartA]
connectedcoconustot [lemma, in UniMath.Foundations.PartA]
consecutive [definition, in UniMath.Foundations.Sets]
Constructions [library]
ConstructiveStructures [library]
constr1 [definition, in UniMath.Foundations.PartA]
constr2 [lemma, in UniMath.Foundations.PartA]
ContravariantFunctor [library]
coprod [inductive, in UniMath.Foundations.Preamble]
coprodasstol [definition, in UniMath.Foundations.PartA]
coprodasstor [definition, in UniMath.Foundations.PartA]
coprodcomm [definition, in UniMath.Foundations.PartA]
coprodcomm_coprodcomm [lemma, in UniMath.MoreFoundations.PartA]
coprodf [definition, in UniMath.Foundations.PartA]
coprodf1 [definition, in UniMath.Foundations.PartA]
coprodf2 [definition, in UniMath.Foundations.PartA]
coprodofhfiberstohfiber [lemma, in UniMath.Foundations.PartC]
coprodtobool [definition, in UniMath.Foundations.PartA]
coprodtoboolsum [definition, in UniMath.Foundations.PartA]
coproducts [library]
coprod_rect_compute_2 [definition, in UniMath.MoreFoundations.PartA]
coprod_rect_compute_1 [definition, in UniMath.MoreFoundations.PartA]
Core [library]
Core [library]
Core [library]
Core [library]
Core [library]
Core [library]
Core [library]
Core [library]
Core [library]
coslicecat [library]
covyoneda [library]
ctlong [definition, in UniMath.Foundations.Sets]
curry [definition, in UniMath.Foundations.PartA]
curry_uncurry [lemma, in UniMath.Foundations.PartA]
cutonweq [definition, in UniMath.Foundations.PartD]
CwF [library]
D
DataEquiv [definition, in UniMath.MoreFoundations.StructureIdentity]dcpo [definition, in UniMath.Algebra.DCPO]
dcpo [section, in UniMath.Algebra.DCPO]
DCPO [library]
dcpoisdirectedcomplete [definition, in UniMath.Algebra.DCPO]
dcpomorphism [definition, in UniMath.Algebra.DCPO]
dcpomorphism_preserveslub [lemma, in UniMath.Algebra.DCPO]
dcpomorphism_preservesdirected [lemma, in UniMath.Algebra.DCPO]
dcpomorphism_preservesorder [lemma, in UniMath.Algebra.DCPO]
dcpomorphism_posetmorphism [definition, in UniMath.Algebra.DCPO]
dcpoofdcpomorphisms [definition, in UniMath.Algebra.DCPO]
dcpopair [definition, in UniMath.Algebra.DCPO]
dcpoposet [definition, in UniMath.Algebra.DCPO]
dcpowithbottom [definition, in UniMath.Algebra.DCPO]
dcpowithbottom [section, in UniMath.Algebra.DCPO]
dcpowithbottom_ofdcpomorphisms [definition, in UniMath.Algebra.DCPO]
dcpowithbottom_bottom [definition, in UniMath.Algebra.DCPO]
dcpowithbottom_isMinimal [definition, in UniMath.Algebra.DCPO]
dcpowithbottom_dcpo [definition, in UniMath.Algebra.DCPO]
dcpo_mklub_islub [definition, in UniMath.Algebra.DCPO]
dcpo_mklub [definition, in UniMath.Algebra.DCPO]
ddualand [definition, in UniMath.Foundations.PartA]
deceq_to_decrel [definition, in UniMath.Foundations.Sets]
deceq_indexedWtypes [section, in UniMath.MoreFoundations.Wtypes]
decfun1 [definition, in UniMath.Foundations.PartB]
decfun2 [definition, in UniMath.Foundations.PartB]
decfun3 [definition, in UniMath.Foundations.PartB]
decidabilityProperty [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable [definition, in UniMath.Foundations.PartB]
decidable [section, in UniMath.MoreFoundations.Wtypes]
decidableAnd [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableDedekindCuts [library]
decidableNot [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidableOr [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidablePropositions [library]
DecidableProposition_to_hProp [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableProposition_to_isdecprop [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableRelation [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableRelation_to_hrel [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableSubtype [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier_weq [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier' [definition, in UniMath.MoreFoundations.DecidablePropositions]
DecidableSubtype_to_hsubtype [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable_proof_by_contradiction [lemma, in UniMath.MoreFoundations.Propositions]
decidable_to_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable_to_isdecprop_2 [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable_to_isdecprop [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable_prop [definition, in UniMath.MoreFoundations.DecidablePropositions]
decidable_ishinh [lemma, in UniMath.Foundations.Propositions]
decidable_step [definition, in UniMath.MoreFoundations.ClosureOfHrel]
decidable_step_refltrans [section, in UniMath.MoreFoundations.ClosureOfHrel]
decidable_dirprod [definition, in UniMath.Foundations.PartB]
decidable_to_complementary [definition, in UniMath.Foundations.PartB]
decidable_iff [definition, in UniMath.MoreFoundations.Wtypes]
decquotrel [definition, in UniMath.Foundations.Sets]
decrel [definition, in UniMath.Foundations.Sets]
decrelpair [definition, in UniMath.Foundations.Sets]
decreltobrel [definition, in UniMath.Foundations.Sets]
decrel_to_DecidableRelation [definition, in UniMath.MoreFoundations.DecidablePropositions]
dec_depeq [definition, in UniMath.MoreFoundations.Wtypes]
DedekindCuts [library]
deltap [definition, in UniMath.Foundations.PartA]
denotationalsemantics [section, in UniMath.Partiality.PCF]
ℕ (PCF) [notation, in UniMath.Partiality.PCF]
⟦ _ ⟧ (PCF) [notation, in UniMath.Partiality.PCF]
⦃ _ ⦄ (PCF) [notation, in UniMath.Partiality.PCF]
denotational_semantics_numerals [lemma, in UniMath.Partiality.PCF]
denotational_semantics_terms [definition, in UniMath.Partiality.PCF]
denotational_semantics_type [definition, in UniMath.Partiality.PCF]
dependent_choice [definition, in UniMath.MoreFoundations.DecidablePropositions]
Derivative [library]
di [definition, in UniMath.Foundations.NaturalNumbers]
diaglemma2 [lemma, in UniMath.Foundations.PartA]
directedfamily [section, in UniMath.Algebra.DCPO]
directeduntruncated [definition, in UniMath.Algebra.DCPO]
DirectSum [library]
dirprod [definition, in UniMath.Foundations.PartA]
dirprodadj [definition, in UniMath.Foundations.PartA]
dirprodeq [lemma, in UniMath.Foundations.PartA]
dirprodf [definition, in UniMath.Foundations.PartA]
dirprodpair [definition, in UniMath.Foundations.PartA]
dirprodtosetquot [definition, in UniMath.Foundations.Sets]
dirprod_paths [lemma, in UniMath.Foundations.PartA]
dirprod_pr2 [definition, in UniMath.Foundations.PartA]
dirprod_pr1 [definition, in UniMath.Foundations.PartA]
dirprod_hSet [definition, in UniMath.Foundations.Sets]
dirprod_with_contr_l [lemma, in UniMath.MoreFoundations.WeakEquivalences]
dirprod_with_contr_r [lemma, in UniMath.MoreFoundations.WeakEquivalences]
Discreteness [library]
disjointl1 [lemma, in UniMath.Foundations.PartB]
disjoint_disjunction [lemma, in UniMath.Foundations.Propositions]
DispAdjunctions [library]
DispBicat [library]
DispBicatOfDispCats [library]
DispInvertibles [library]
DisplayedCatToBicat [library]
DispUnivalence [library]
DivisionRig [library]
di_neq_i [lemma, in UniMath.Foundations.NaturalNumbers]
di_eq2 [lemma, in UniMath.Foundations.NaturalNumbers]
di_eq1 [lemma, in UniMath.Foundations.NaturalNumbers]
dneg [definition, in UniMath.Foundations.PartA]
dneganddnegimpldneg [definition, in UniMath.Foundations.PartA]
dneganddnegl1 [lemma, in UniMath.Foundations.PartA]
dnegelim [definition, in UniMath.MoreFoundations.DecidablePropositions]
dnegf [definition, in UniMath.Foundations.PartA]
dnegnegtoneg [definition, in UniMath.Foundations.PartA]
dneg_elim_to_LEM [lemma, in UniMath.MoreFoundations.Propositions]
dneg_LEM [lemma, in UniMath.MoreFoundations.DecidablePropositions]
dneg_decidable [lemma, in UniMath.MoreFoundations.DoubleNegation]
Domains_and_Fields [library]
doublelubdirected [lemma, in UniMath.Algebra.DCPO]
DoubleNegation [library]
d1 [definition, in UniMath.Foundations.PartA]
d1g [definition, in UniMath.Foundations.PartA]
d2 [definition, in UniMath.Foundations.PartA]
d2g [definition, in UniMath.Foundations.PartA]
d3g [definition, in UniMath.Foundations.PartA]
E
Elements [library]ElementsOp [library]
elems_slice_equiv [library]
empty [inductive, in UniMath.Foundations.Preamble]
EndofunctorsMonoidal [library]
Enriched [library]
EpiFacts [library]
epiissurjectiontosets [lemma, in UniMath.Foundations.Sets]
Epis [library]
eqax0 [definition, in UniMath.Foundations.Sets]
eqax1 [definition, in UniMath.Foundations.Sets]
eqax2 [definition, in UniMath.Foundations.Sets]
eqbx [definition, in UniMath.Foundations.PartC]
eqcor0UAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
eqdiag [library]
eqfromdnegeq [lemma, in UniMath.Foundations.PartB]
eqh [definition, in UniMath.Foundations.Sets]
eqrel [definition, in UniMath.Foundations.Sets]
eqrelconstr [definition, in UniMath.Foundations.Sets]
eqreldirprod [definition, in UniMath.Foundations.Sets]
eqrelpair [definition, in UniMath.Foundations.Sets]
eqrelrefl [definition, in UniMath.Foundations.Sets]
eqrelsymm [definition, in UniMath.Foundations.Sets]
eqreltrans [definition, in UniMath.Foundations.Sets]
eqrel_on_bool_iff [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
eqrel_on_bool [definition, in UniMath.MoreFoundations.AxiomOfChoice]
eqset [definition, in UniMath.Foundations.Sets]
eqset_to_path [definition, in UniMath.MoreFoundations.Sets]
eqtohomot [definition, in UniMath.Foundations.PartA]
equality_by_case [definition, in UniMath.Foundations.PartA]
equality_cases [definition, in UniMath.Foundations.PartA]
equalizers [library]
equalizers [library]
Equivalences [library]
Equivalences [library]
Equivalences_bis [library]
Equivalence_Relations [library]
EquivToAdjequiv [library]
Equiv_rect [lemma, in UniMath.MoreFoundations.StructureIdentity]
eqweqmap [definition, in UniMath.Foundations.UnivalenceAxiom]
eqweqmaphProp [definition, in UniMath.Foundations.Propositions]
eqweqmap_pathsinv0 [lemma, in UniMath.Foundations.PartD]
eqweqmap_pathscomp0 [lemma, in UniMath.Foundations.PartD]
EssentiallyAlgebraic [library]
eta_extension [definition, in UniMath.Partiality.LiftMonad]
ExactCategories [library]
Examples [library]
Examples [library]
Examples [library]
exponentials [library]
extension_comp [definition, in UniMath.Partiality.LiftMonad]
ezmap [definition, in UniMath.Foundations.PartA]
ezmaphf [definition, in UniMath.Foundations.PartA]
ezmappr1 [definition, in UniMath.Foundations.PartA]
ezmap1 [definition, in UniMath.Foundations.PartA]
ezweq [definition, in UniMath.Foundations.PartA]
ezweqg [definition, in UniMath.Foundations.PartA]
ezweqhf [definition, in UniMath.Foundations.PartA]
ezweqpr1 [definition, in UniMath.Foundations.PartA]
ezweq1 [definition, in UniMath.Foundations.PartA]
ezweq1g [definition, in UniMath.Foundations.PartA]
ezweq1pr1 [definition, in UniMath.Foundations.PartA]
ezweq2 [definition, in UniMath.Foundations.PartA]
ezweq2g [definition, in UniMath.Foundations.PartA]
ezweq3g [definition, in UniMath.Foundations.PartA]
F
factorial [definition, in UniMath.Foundations.NaturalNumbers]factor_through_squash [lemma, in UniMath.Foundations.Propositions]
false [constructor, in UniMath.Foundations.Preamble]
falsetonegtrue [definition, in UniMath.Foundations.PartA]
falseWitness [definition, in UniMath.MoreFoundations.DecidablePropositions]
famhomotfun [definition, in UniMath.Foundations.PartA]
famhomothomothomot [definition, in UniMath.Foundations.PartA]
ffgg [definition, in UniMath.Foundations.PartA]
Fibered [library]
fiber_paths [definition, in UniMath.Foundations.PartA]
Fibration [library]
Fibrations [library]
fibseqg [definition, in UniMath.Foundations.PartA]
fibseqhf [definition, in UniMath.Foundations.PartA]
fibseqpr1 [definition, in UniMath.Foundations.PartA]
fibseqstr [definition, in UniMath.Foundations.PartA]
fibseqstrpair [definition, in UniMath.Foundations.PartA]
fibseqstrtocomplxstr [definition, in UniMath.Foundations.PartA]
fibseqstrtohfsqstr [lemma, in UniMath.Foundations.PartA]
fibseq1 [definition, in UniMath.Foundations.PartA]
fibseq1g [definition, in UniMath.Foundations.PartA]
fibseq2 [definition, in UniMath.Foundations.PartA]
fibseq2g [definition, in UniMath.Foundations.PartA]
fibseq3g [definition, in UniMath.Foundations.PartA]
Fields [library]
Filters [library]
Final [library]
FiniteSequences [library]
FiniteSets [library]
FinOrdCoproducts [library]
FinOrdProducts [library]
FinSet [library]
FiveLemma [library]
fixp [constructor, in UniMath.Partiality.PCF]
fixpstep [constructor, in UniMath.Partiality.PCF]
flds [library]
flip [abbreviation, in UniMath.MoreFoundations.PartA]
flipsec [definition, in UniMath.MoreFoundations.PartA]
flipsec_weq [definition, in UniMath.MoreFoundations.PartA]
folds_pre_2_cat [library]
folds_precat [library]
folds_isomorphism [library]
forallnegtoneghexists [lemma, in UniMath.Foundations.Propositions]
foralltohfiber [definition, in UniMath.Foundations.PartD]
foralltototal [definition, in UniMath.Foundations.PartD]
forall_hProp [definition, in UniMath.Foundations.Propositions]
forall_hSet [definition, in UniMath.Foundations.Sets]
Foundations [library]
fpmap [definition, in UniMath.Foundations.PartA]
fps [library]
frac [library]
Free_Monoids_and_Groups [library]
FromBindingSigsToMonads_Summary [library]
fromcoconusf [definition, in UniMath.Foundations.PartA]
fromcompltodisjoint [definition, in UniMath.Foundations.PartC]
fromcompltoii1x [definition, in UniMath.Foundations.PartC]
fromcompltoii2y [definition, in UniMath.Foundations.PartC]
fromdsubtypesdirprodcarrier [definition, in UniMath.Foundations.Sets]
fromempty [definition, in UniMath.Foundations.PartA]
fromneganddecx [lemma, in UniMath.Foundations.PartC]
fromneganddecy [lemma, in UniMath.Foundations.PartC]
fromnegcoprod [lemma, in UniMath.Foundations.Propositions]
fromnegcoprod_prop [lemma, in UniMath.Foundations.Propositions]
fromsubquot [definition, in UniMath.Foundations.Sets]
fromtotal2overcoprod [definition, in UniMath.Foundations.PartA]
fromtotal2overunit [definition, in UniMath.Foundations.PartA]
from_precats_to_folds_and_back [library]
Full [library]
FullSub [library]
FullyFaithful [library]
funcomp [definition, in UniMath.Foundations.PartA]
funcomp_assoc [lemma, in UniMath.Foundations.PartA]
funcontr [definition, in UniMath.Foundations.UnivalenceAxiom]
funcontrAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
funcontrFromUnivalence [definition, in UniMath.Foundations.UnivalenceAxiom]
funcontrStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
funcontrtwice [lemma, in UniMath.Foundations.UnivalenceAxiom]
funcontrUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
functional [constructor, in UniMath.Partiality.PCF]
FunctorAlgebras [library]
FunctorCategory [library]
FunctorCategory [library]
FunctorCoalgebras [library]
Functors [library]
functtransportb [lemma, in UniMath.Foundations.PartA]
functtransportf [lemma, in UniMath.Foundations.PartA]
funextcontr [definition, in UniMath.Foundations.UnivalenceAxiom]
funextcontrAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
funextcontrStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
funextcontrStatementFromUnivalence [definition, in UniMath.Foundations.UnivalenceAxiom]
funextcontrUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
funextempty [definition, in UniMath.Foundations.UnivalenceAxiom]
funextemptyAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
funextemptyFromUnivalence [definition, in UniMath.Foundations.UnivalenceAxiom]
funextemptyStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
funextemptyUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
funextfun [definition, in UniMath.Foundations.UnivalenceAxiom]
funextfunImplication [lemma, in UniMath.Foundations.UnivalenceAxiom]
funextfunPreliminaryUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
funextfunStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
funextsec [definition, in UniMath.Foundations.UnivalenceAxiom]
funextsecImplication [lemma, in UniMath.Foundations.UnivalenceAxiom]
funextsecStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
funextsecweqFromUnivalence [definition, in UniMath.Foundations.UnivalenceAxiom]
funextsec_toforallpaths [lemma, in UniMath.MoreFoundations.Univalence]
funfromcoprodtoprod [definition, in UniMath.Foundations.PartD]
funhomot [definition, in UniMath.Foundations.PartA]
funhomotsec [definition, in UniMath.Foundations.PartA]
funtoprodtoprod [definition, in UniMath.Foundations.PartD]
funtranspos [definition, in UniMath.Foundations.PartC]
funtranspos0 [definition, in UniMath.Foundations.PartC]
fun_extension_after_eta [definition, in UniMath.Partiality.LiftMonad]
G
GenMendlerIteration [library]GenMendlerIteration_alt [library]
getfib [definition, in UniMath.MoreFoundations.Wtypes]
getfib_transport [definition, in UniMath.MoreFoundations.Wtypes]
GirardsParadox [library]
gradth [definition, in UniMath.Foundations.PartA]
Graph [library]
Graphs [library]
GrothendieckGroup [library]
GrothendieckTopos [library]
Group [library]
GroupAction [library]
Groupoids [library]
Groups [library]
Groups_Tactics [library]
grs [library]
H
Halfline [library]hconj [definition, in UniMath.Foundations.Propositions]
hconjtohdisj [lemma, in UniMath.Foundations.Propositions]
hconj_absorb_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
hdisj [definition, in UniMath.Foundations.Propositions]
hdisjtoimpl [lemma, in UniMath.Foundations.Propositions]
hdisj_absorb_hconj [lemma, in UniMath.MoreFoundations.Propositions]
hdisj_impl_2 [lemma, in UniMath.MoreFoundations.Propositions]
hdisj_impl_1 [lemma, in UniMath.MoreFoundations.Propositions]
hdisj_in2 [definition, in UniMath.Foundations.Propositions]
hdisj_in1 [definition, in UniMath.Foundations.Propositions]
hequiv [definition, in UniMath.MoreFoundations.Notations]
hexists [definition, in UniMath.Foundations.Propositions]
hexistsnegtonegforall [lemma, in UniMath.Foundations.Propositions]
hfalse [definition, in UniMath.Foundations.Propositions]
hfalse_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
hffpmap2 [definition, in UniMath.Foundations.PartA]
hfiber [definition, in UniMath.Foundations.PartA]
hfiberfpmap [definition, in UniMath.Foundations.PartA]
hfiberpair [definition, in UniMath.Foundations.PartA]
hfiberpr1 [definition, in UniMath.Foundations.PartA]
hfiberpr2 [definition, in UniMath.Foundations.PartA]
hfibersftogf [definition, in UniMath.Foundations.PartA]
hfibersgftog [definition, in UniMath.Foundations.PartA]
hfibersgtof' [definition, in UniMath.Foundations.PartA]
hfibersg'tof [definition, in UniMath.Foundations.PartA]
hfibershomotftog [lemma, in UniMath.Foundations.PartA]
hfibershomotgtof [lemma, in UniMath.Foundations.PartA]
hfibertocoprodofhfibers [lemma, in UniMath.Foundations.PartC]
hfibertoforall [definition, in UniMath.Foundations.PartD]
hfibertohfp [definition, in UniMath.Foundations.PartA]
hfibertosec [definition, in UniMath.Foundations.UnivalenceAxiom]
hfibertriangle1 [lemma, in UniMath.Foundations.PartA]
hfibertriangle1inv0 [lemma, in UniMath.Foundations.PartA]
hfibertriangle1inv0' [lemma, in UniMath.Foundations.PartA]
hfibertriangle1' [lemma, in UniMath.Foundations.PartA]
hfibertriangle2 [lemma, in UniMath.Foundations.PartA]
hfiber_comm [definition, in UniMath.Foundations.PartA]
hfiber_hSet [definition, in UniMath.Foundations.Sets]
hfp [definition, in UniMath.Foundations.PartA]
hfpg [definition, in UniMath.Foundations.PartA]
hfpg' [definition, in UniMath.Foundations.PartA]
hfpoverX [definition, in UniMath.Foundations.PartA]
hfpoverX' [definition, in UniMath.Foundations.PartA]
hfptohfiber [definition, in UniMath.Foundations.PartA]
hfp_right [definition, in UniMath.Foundations.PartA]
hfp_left [lemma, in UniMath.Foundations.PartA]
hfsqstr [definition, in UniMath.Foundations.PartA]
hfsqstrpair [definition, in UniMath.Foundations.PartA]
hfsqstrtocommsqstr [definition, in UniMath.Foundations.PartA]
hfsqstrtofibseqstr [lemma, in UniMath.Foundations.PartA]
himpl [definition, in UniMath.Foundations.Propositions]
hinhand [definition, in UniMath.Foundations.Propositions]
hinhcoprod [lemma, in UniMath.Foundations.Propositions]
hinhfun [definition, in UniMath.Foundations.Propositions]
hinhfun2 [definition, in UniMath.Foundations.Propositions]
hinhimplinhdneg [definition, in UniMath.Foundations.Propositions]
hinhpr [definition, in UniMath.Foundations.Propositions]
hinhprinv [abbreviation, in UniMath.Foundations.Propositions]
hinhuniv [definition, in UniMath.Foundations.Propositions]
hinhunivcor1 [definition, in UniMath.Foundations.Propositions]
hinhuniv2 [definition, in UniMath.Foundations.Propositions]
HLevel [definition, in UniMath.Foundations.HLevels]
HLevel [library]
hlevelntosn [lemma, in UniMath.Foundations.PartB]
hlevelretract [lemma, in UniMath.Foundations.PartB]
HLevels [library]
hlevel_total2 [lemma, in UniMath.MoreFoundations.PartA]
hlevel_of_hlevels [lemma, in UniMath.Foundations.HLevels]
hneg [definition, in UniMath.Foundations.Propositions]
homot [definition, in UniMath.Foundations.PartA]
homotcomp [definition, in UniMath.Foundations.PartA]
homotcoprodfcomp [definition, in UniMath.Foundations.PartA]
homotcoprodfhomot [definition, in UniMath.Foundations.PartA]
homotd3g [lemma, in UniMath.Foundations.PartA]
homotffggid [definition, in UniMath.Foundations.PartA]
homotfromtococonusf [lemma, in UniMath.Foundations.PartA]
homotfun [definition, in UniMath.Foundations.PartA]
homotfuntranspos2 [lemma, in UniMath.Foundations.PartC]
homothfiberretr [definition, in UniMath.Foundations.PartA]
homothfiber1 [definition, in UniMath.Foundations.PartA]
homothfiber2 [definition, in UniMath.Foundations.PartA]
homotinvweqweq [definition, in UniMath.Foundations.PartA]
homotinvweqweq0 [definition, in UniMath.Foundations.PartA]
homotrecomplfcomp [definition, in UniMath.Foundations.PartC]
homotrecomplfhomot [definition, in UniMath.Foundations.PartC]
homotrecomplfidfun [definition, in UniMath.Foundations.PartC]
homotrecomplnat [lemma, in UniMath.Foundations.PartC]
homotrefl [definition, in UniMath.Foundations.PartA]
homottofromcoconusf [lemma, in UniMath.Foundations.PartA]
homottranspost2t1t1t2 [definition, in UniMath.Foundations.PartC]
homottranspos0t2t1t1t2 [definition, in UniMath.Foundations.PartC]
homotweqinv [lemma, in UniMath.Foundations.PartA]
homotweqinvweq [definition, in UniMath.Foundations.PartA]
homotweqinvweqweq [definition, in UniMath.Foundations.PartA]
homotweqinv' [lemma, in UniMath.Foundations.PartA]
homotweqoncomplcomp [definition, in UniMath.Foundations.PartC]
HorizontalComposition [library]
hProp [definition, in UniMath.Foundations.Propositions]
hProppair [definition, in UniMath.Foundations.Propositions]
hPropset [definition, in UniMath.Foundations.Sets]
hProptoType [definition, in UniMath.Foundations.Propositions]
hPropUnivalence [lemma, in UniMath.Foundations.Propositions]
hProp_set [definition, in UniMath.MoreFoundations.Sets]
hProp_logic [section, in UniMath.MoreFoundations.Propositions]
hProp_to_hSet [definition, in UniMath.Foundations.Sets]
hrel [definition, in UniMath.Foundations.Sets]
hreldirprod [definition, in UniMath.Foundations.Sets]
hrellogeq [definition, in UniMath.Foundations.Sets]
hrel_set [definition, in UniMath.MoreFoundations.Propositions]
hSet [definition, in UniMath.Foundations.Sets]
hSetpair [definition, in UniMath.Foundations.Sets]
hSet_rect [lemma, in UniMath.Foundations.Sets]
hSet_univalence [lemma, in UniMath.Foundations.Sets]
hSet_univalence_map [definition, in UniMath.Foundations.Sets]
hsubtype [definition, in UniMath.Foundations.Sets]
hsubtype_rect [lemma, in UniMath.MoreFoundations.Subtypes]
hsubtype_univalence [lemma, in UniMath.MoreFoundations.Subtypes]
htrue [definition, in UniMath.Foundations.Propositions]
htrue_hconj [lemma, in UniMath.MoreFoundations.Propositions]
I
Ideals [library]Identitor [library]
Identity [library]
identityPosetEquivalence [definition, in UniMath.Foundations.Sets]
ident_is_prop [lemma, in UniMath.Foundations.HLevels]
idfun [definition, in UniMath.Foundations.PartA]
idisweq [lemma, in UniMath.Foundations.PartA]
idpath [abbreviation, in UniMath.Foundations.Preamble]
idpath_transportf [definition, in UniMath.Foundations.PartA]
idweq [definition, in UniMath.Foundations.PartA]
Id_p_weq_Id [lemma, in UniMath.Foundations.HLevels]
ifcontrthenunitl0 [lemma, in UniMath.Foundations.PartA]
ifz [constructor, in UniMath.Partiality.PCF]
ifzargstep [constructor, in UniMath.Partiality.PCF]
ifzsuccstep [constructor, in UniMath.Partiality.PCF]
ifzzerostep [constructor, in UniMath.Partiality.PCF]
ifz_refltrans_smallstep [lemma, in UniMath.Partiality.PCF]
ifz' [definition, in UniMath.Partiality.PCF]
ii1 [constructor, in UniMath.Foundations.Preamble]
ii1_injectivity [lemma, in UniMath.Foundations.PartA]
ii2 [constructor, in UniMath.Foundations.Preamble]
ii2_injectivity [lemma, in UniMath.Foundations.PartA]
image [definition, in UniMath.Foundations.Propositions]
imagepair [definition, in UniMath.Foundations.Propositions]
impred [lemma, in UniMath.Foundations.PartD]
impredfun [lemma, in UniMath.Foundations.PartD]
impredtech1 [lemma, in UniMath.Foundations.PartD]
impredtwice [lemma, in UniMath.Foundations.PartD]
impred_isaset [lemma, in UniMath.Foundations.PartD]
impred_isaprop [lemma, in UniMath.Foundations.PartD]
impred_iscontr [lemma, in UniMath.Foundations.PartD]
impred_prop [lemma, in UniMath.Foundations.Propositions]
incl [definition, in UniMath.Foundations.PartB]
inclcomp [definition, in UniMath.Foundations.PartB]
inclpair [definition, in UniMath.Foundations.PartB]
incl_injectivity [lemma, in UniMath.Foundations.PartD]
indexedsup [constructor, in UniMath.MoreFoundations.Wtypes]
indexedWtype [inductive, in UniMath.MoreFoundations.Wtypes]
indexedWtype_deceq' [definition, in UniMath.MoreFoundations.Wtypes]
indexedWtype_deceq [definition, in UniMath.MoreFoundations.Wtypes]
indexedWtype_deceq_transport [definition, in UniMath.MoreFoundations.Wtypes]
inequality_to_isolation [definition, in UniMath.MoreFoundations.DecidablePropositions]
inhdnegand [definition, in UniMath.Foundations.Propositions]
inhdnegfun [definition, in UniMath.Foundations.Propositions]
inhdnegpr [definition, in UniMath.Foundations.Propositions]
inhdneguniv [definition, in UniMath.Foundations.Propositions]
Init [library]
Initial [library]
initial [library]
initial [library]
Injectivity [definition, in UniMath.Foundations.PartB]
inl [abbreviation, in UniMath.Foundations.Preamble]
inr [abbreviation, in UniMath.Foundations.Preamble]
intdoms [library]
Integers [library]
Integers [library]
internal_equivalence [library]
Interval [library]
invcutonweq [definition, in UniMath.Foundations.PartD]
Invertible_2cells [library]
invezmaphf [definition, in UniMath.Foundations.PartA]
invezmappr1 [definition, in UniMath.Foundations.PartA]
invezmap1 [definition, in UniMath.Foundations.PartA]
invhomot [definition, in UniMath.Foundations.PartA]
invimpl [definition, in UniMath.Foundations.PartC]
invinv [lemma, in UniMath.Foundations.PartA]
invmap [definition, in UniMath.Foundations.PartA]
invmaponpathsincl [definition, in UniMath.Foundations.PartB]
invmaponpathsS [lemma, in UniMath.Foundations.NaturalNumbers]
invmaponpathsweq [definition, in UniMath.Foundations.PartA]
invmaponpathsweqid [definition, in UniMath.Foundations.PartA]
invmapweqcomp [definition, in UniMath.Foundations.PartD]
invmap_weqcomp_expand [definition, in UniMath.Foundations.PartA]
invmap_eq [lemma, in UniMath.MoreFoundations.PartA]
invproofirrelevance [lemma, in UniMath.Foundations.PartB]
invrecompl [definition, in UniMath.Foundations.PartC]
invrecompl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
invweq [definition, in UniMath.Foundations.PartA]
invweqcomp [definition, in UniMath.Foundations.PartD]
inv_idweq_is_idweq [lemma, in UniMath.Foundations.PartD]
inv_equality_by_case [definition, in UniMath.Foundations.PartA]
isaninvprop [definition, in UniMath.Foundations.PartC]
isaninvpropneg [lemma, in UniMath.Foundations.PartC]
isaninv1 [lemma, in UniMath.Foundations.PartC]
isantisymm [definition, in UniMath.Foundations.Sets]
isantisymmlogeqf [definition, in UniMath.Foundations.Sets]
isantisymmnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
isantisymmnatleh [definition, in UniMath.Foundations.NaturalNumbers]
isantisymmneg [definition, in UniMath.Foundations.Sets]
isantisymmneglogeqf [definition, in UniMath.Foundations.Sets]
isantisymmnegnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
isantisymmnegnattth [definition, in UniMath.Foundations.NaturalNumbers]
isantisymmnegquotrel [lemma, in UniMath.Foundations.Sets]
isantisymmnegrel [lemma, in UniMath.Foundations.Sets]
isantisymmnegresrel [definition, in UniMath.Foundations.Sets]
isantisymmnegtoiscoantisymm [lemma, in UniMath.Foundations.Sets]
isantisymmquotrel [lemma, in UniMath.Foundations.Sets]
isantisymmresrel [definition, in UniMath.Foundations.Sets]
isantisymm_posetRelation [lemma, in UniMath.Foundations.Sets]
isaposetmorphism [definition, in UniMath.Foundations.Sets]
isaprop [definition, in UniMath.Foundations.PartB]
isapropaninvprop [lemma, in UniMath.Foundations.PartC]
isapropcomponent1 [lemma, in UniMath.Foundations.PartB]
isapropcomponent2 [lemma, in UniMath.Foundations.PartB]
isapropcoprod [lemma, in UniMath.Foundations.PartB]
isapropdec [lemma, in UniMath.Foundations.PartC]
isapropdirprod [definition, in UniMath.Foundations.PartB]
isapropdneg [lemma, in UniMath.Foundations.PartC]
isapropempty [lemma, in UniMath.Foundations.PartB]
isapropifcontr [lemma, in UniMath.Foundations.PartB]
isapropifnegtrue [lemma, in UniMath.Foundations.PartB]
isapropimeqclass [lemma, in UniMath.Foundations.Sets]
isapropimpl [lemma, in UniMath.Foundations.PartD]
isapropinclb [definition, in UniMath.Foundations.PartB]
isapropisaprop [lemma, in UniMath.Foundations.PartD]
isapropisaset [lemma, in UniMath.Foundations.PartD]
isapropischoicebase [lemma, in UniMath.Foundations.Sets]
isapropiscomprelfun [lemma, in UniMath.MoreFoundations.Sets]
isapropiscontr [lemma, in UniMath.Foundations.PartD]
isapropisdeceq [lemma, in UniMath.Foundations.PartD]
isapropisdecprop [definition, in UniMath.Foundations.PartD]
isapropiseqclass [lemma, in UniMath.Foundations.Sets]
isapropishinh [lemma, in UniMath.Foundations.Propositions]
isapropisincl [definition, in UniMath.Foundations.PartD]
isapropisisolated [lemma, in UniMath.Foundations.PartD]
isapropisofhlevel [lemma, in UniMath.Foundations.PartD]
isapropisofhlevelf [lemma, in UniMath.Foundations.PartD]
isapropissurjective [lemma, in UniMath.Foundations.Propositions]
isapropisweq [lemma, in UniMath.Foundations.PartD]
isapropneg [lemma, in UniMath.Foundations.PartC]
isapropneg2 [lemma, in UniMath.Foundations.PartD]
isaproppathsfromisolated [lemma, in UniMath.Foundations.PartB]
isaproppathsfromisolated_ne [lemma, in UniMath.MoreFoundations.NegativePropositions]
isaproppathstoisolated [lemma, in UniMath.Foundations.PartB]
isapropretract [lemma, in UniMath.Foundations.PartB]
isapropsubtype [lemma, in UniMath.Foundations.Sets]
isaproptildehProp [lemma, in UniMath.Foundations.Propositions]
isaproptotal2 [lemma, in UniMath.MoreFoundations.Propositions]
isapropunit [definition, in UniMath.Foundations.PartB]
isapropweqfromcontr [lemma, in UniMath.Foundations.PartD]
isapropweqfromempty [lemma, in UniMath.Foundations.PartD]
isapropweqfromempty2 [lemma, in UniMath.Foundations.PartD]
isapropweqfromprop [lemma, in UniMath.Foundations.PartD]
isapropweqfromunit [lemma, in UniMath.Foundations.PartD]
isapropweqtocontr [lemma, in UniMath.Foundations.PartD]
isapropweqtoempty [lemma, in UniMath.Foundations.PartD]
isapropweqtoempty2 [lemma, in UniMath.Foundations.PartD]
isapropweqtoprop [lemma, in UniMath.Foundations.PartD]
isapropweqtounit [lemma, in UniMath.Foundations.PartD]
isaprop_isInjective [lemma, in UniMath.Foundations.PartD]
isaprop_pathsprop [definition, in UniMath.MoreFoundations.PropExt]
isaprop_assume_it_is [lemma, in UniMath.MoreFoundations.Propositions]
isaprop_LEM [lemma, in UniMath.MoreFoundations.DecidablePropositions]
isaprop_isolation [definition, in UniMath.MoreFoundations.DecidablePropositions]
isaprop_isFalse [lemma, in UniMath.MoreFoundations.DecidablePropositions]
isaprop_isTrue [lemma, in UniMath.MoreFoundations.DecidablePropositions]
isaprop_forall_hProp [lemma, in UniMath.Foundations.Propositions]
isaprop_total2 [lemma, in UniMath.Foundations.Propositions]
isaprop_isdcpomorphism [lemma, in UniMath.Algebra.DCPO]
isaprop_preserveslub [lemma, in UniMath.Algebra.DCPO]
isaprop_isdirectedcomplete [lemma, in UniMath.Algebra.DCPO]
isaprop_isdirected [lemma, in UniMath.Algebra.DCPO]
isaprop_islub [lemma, in UniMath.Algebra.DCPO]
isaprop_isupperbound [lemma, in UniMath.Algebra.DCPO]
isaprop_consecutive [lemma, in UniMath.Foundations.Sets]
isaprop_isMaximal [lemma, in UniMath.Foundations.Sets]
isaprop_isMinimal [lemma, in UniMath.Foundations.Sets]
isaprop_isPosetEquivalence [lemma, in UniMath.Foundations.Sets]
isaprop_isaposetmorphism [lemma, in UniMath.Foundations.Sets]
isaprop_isPartialOrder [lemma, in UniMath.Foundations.Sets]
isaprop_ispreorder [lemma, in UniMath.Foundations.Sets]
isaprop_isantisymm [lemma, in UniMath.Foundations.Sets]
isaprop_istotal [lemma, in UniMath.Foundations.Sets]
isaprop_isrefl [lemma, in UniMath.Foundations.Sets]
isaprop_istrans [lemma, in UniMath.Foundations.Sets]
isaprop_isProofIrrelevant [lemma, in UniMath.Foundations.PartC]
isaprop_funextcontrStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_funcontrStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_propositionalUnivalenceStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_isweqtoforallpathsStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_funextemptyStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_univalenceStatement [lemma, in UniMath.Foundations.UnivalenceAxiom2]
isaprop_isdefined [lemma, in UniMath.Partiality.PartialElements]
isaset [definition, in UniMath.Foundations.PartB]
isasetaprop [lemma, in UniMath.Foundations.PartB]
isasetbool [lemma, in UniMath.Foundations.PartB]
isasetcoprod [lemma, in UniMath.Foundations.PartC]
isasetdirprod [abbreviation, in UniMath.Foundations.PartB]
isasetempty [lemma, in UniMath.Foundations.PartB]
isasethProp [lemma, in UniMath.Foundations.Propositions]
isasethsubtype [lemma, in UniMath.Foundations.Sets]
isasetifcontr [lemma, in UniMath.Foundations.PartB]
isasetifdeceq [lemma, in UniMath.Foundations.PartB]
isasetifiscontrloops [lemma, in UniMath.Foundations.PartB]
isasetnat [lemma, in UniMath.Foundations.NaturalNumbers]
isasetsetquot [lemma, in UniMath.Foundations.Sets]
isasetsetquot2 [lemma, in UniMath.Foundations.Sets]
isasetsubset [lemma, in UniMath.Foundations.PartB]
isasettildehProp [lemma, in UniMath.Foundations.Propositions]
isasetunit [lemma, in UniMath.Foundations.PartB]
isasetweqfromset [lemma, in UniMath.Foundations.PartD]
isasetweqtoset [lemma, in UniMath.Foundations.PartD]
isaset_set_fun_space [lemma, in UniMath.Foundations.Sets]
isaset_PartialOrder [definition, in UniMath.Foundations.Sets]
isaset_po [definition, in UniMath.Foundations.Sets]
isaset_hrel [definition, in UniMath.Foundations.Sets]
isaset_carrier_subset [lemma, in UniMath.Foundations.Sets]
isaset_forall_hSet [lemma, in UniMath.Foundations.Sets]
isaset_total2_hSet [lemma, in UniMath.Foundations.Sets]
isaset_hfiber [lemma, in UniMath.Foundations.PartB]
isaset_dirprod [lemma, in UniMath.Foundations.PartB]
isaset_total2 [lemma, in UniMath.Foundations.PartB]
isassoc_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
isassoc_hconj [lemma, in UniMath.MoreFoundations.Propositions]
isasymm [definition, in UniMath.Foundations.Sets]
isasymmlogeqf [definition, in UniMath.Foundations.Sets]
isasymmnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
isasymmnatlth [definition, in UniMath.Foundations.NaturalNumbers]
isasymmnegrel [lemma, in UniMath.Foundations.Sets]
isasymmquotrel [lemma, in UniMath.Foundations.Sets]
isasymmresrel [definition, in UniMath.Foundations.Sets]
ischoicebase [definition, in UniMath.Foundations.Sets]
ischoicebasecontr [lemma, in UniMath.Foundations.Sets]
ischoicebasecoprod [lemma, in UniMath.Foundations.Sets]
ischoicebaseempty [lemma, in UniMath.Foundations.Sets]
ischoicebaseempty2 [lemma, in UniMath.Foundations.Sets]
ischoicebaseunit [lemma, in UniMath.Foundations.Sets]
ischoicebaseweqb [lemma, in UniMath.Foundations.Sets]
ischoicebaseweqf [lemma, in UniMath.Foundations.Sets]
ischoicebase_uu1 [definition, in UniMath.Foundations.Sets]
iscoantisymm [definition, in UniMath.Foundations.Sets]
iscoantisymmlogeqf [definition, in UniMath.Foundations.Sets]
iscoantisymmnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
iscoantisymmnatlth [definition, in UniMath.Foundations.NaturalNumbers]
iscoantisymmresrel [definition, in UniMath.Foundations.Sets]
iscoasymm [definition, in UniMath.Foundations.Sets]
iscoasymmgenrel [lemma, in UniMath.Foundations.Sets]
iscoasymmlogeqf [definition, in UniMath.Foundations.Sets]
iscoasymmnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
iscoasymmnatleh [definition, in UniMath.Foundations.NaturalNumbers]
iscoasymmquotrel [lemma, in UniMath.Foundations.Sets]
iscoasymmresrel [definition, in UniMath.Foundations.Sets]
iscomm_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
iscomm_hconj [lemma, in UniMath.MoreFoundations.Propositions]
iscomprelfun [definition, in UniMath.Foundations.Sets]
iscomprelfunlogeqf [lemma, in UniMath.Foundations.Sets]
iscomprelfunlogeqf1 [lemma, in UniMath.Foundations.Sets]
iscomprelfunlogeqf2 [lemma, in UniMath.Foundations.Sets]
iscomprelfun_funcomp [lemma, in UniMath.MoreFoundations.Sets]
iscomprelfun2 [definition, in UniMath.Foundations.Sets]
iscomprelfun2if [lemma, in UniMath.Foundations.Sets]
iscomprelfun2logeqf [lemma, in UniMath.Foundations.Sets]
iscomprelrel [definition, in UniMath.Foundations.Sets]
iscomprelrelfun [definition, in UniMath.Foundations.Sets]
iscomprelrelfun2 [definition, in UniMath.Foundations.Sets]
iscomprelrelfun2if [lemma, in UniMath.Foundations.Sets]
iscomprelrelfun2logeqf1 [lemma, in UniMath.Foundations.Sets]
iscomprelrelfun2logeqf2 [lemma, in UniMath.Foundations.Sets]
iscomprelrelif [lemma, in UniMath.Foundations.Sets]
iscomprelrellogeqf1 [lemma, in UniMath.Foundations.Sets]
iscomprelrellogeqf2 [lemma, in UniMath.Foundations.Sets]
iscompsetquotpr [lemma, in UniMath.Foundations.Sets]
iscompsetquot2pr [lemma, in UniMath.Foundations.Sets]
isconst [definition, in UniMath.MoreFoundations.Sets]
isconst_2' [definition, in UniMath.MoreFoundations.Sets]
isconst_2 [definition, in UniMath.MoreFoundations.Sets]
iscontr [definition, in UniMath.Foundations.PartA]
iscontraprop1 [lemma, in UniMath.Foundations.PartB]
iscontraprop1inv [lemma, in UniMath.Foundations.PartB]
iscontrcoconusfromt [lemma, in UniMath.Foundations.PartA]
iscontrcoconustot [lemma, in UniMath.Foundations.PartA]
iscontrfunfromempty [lemma, in UniMath.Foundations.PartD]
iscontrfunfromempty2 [lemma, in UniMath.Foundations.PartD]
iscontrfuntocontr [lemma, in UniMath.Foundations.PartD]
iscontrfuntounit [lemma, in UniMath.Foundations.PartD]
iscontrhfiberdi [lemma, in UniMath.Foundations.NaturalNumbers]
iscontrhfibereqbx [lemma, in UniMath.Foundations.PartC]
iscontrhfiberii1x [lemma, in UniMath.Foundations.PartC]
iscontrhfiberii2y [lemma, in UniMath.Foundations.PartC]
iscontrhfiberl1 [lemma, in UniMath.Foundations.PartA]
iscontrhfiberl2 [lemma, in UniMath.Foundations.PartA]
iscontrhfibernatplusl [lemma, in UniMath.Foundations.NaturalNumbers]
iscontrhfibernatplusr [lemma, in UniMath.Foundations.NaturalNumbers]
iscontrhfiberofincl [lemma, in UniMath.Foundations.PartB]
iscontrifweqtounit [lemma, in UniMath.Foundations.PartA]
iscontriscontr [lemma, in UniMath.Foundations.PartD]
iscontrloopsifisaset [lemma, in UniMath.Foundations.PartB]
iscontrpair [definition, in UniMath.Foundations.PartA]
iscontrpathsinunit [lemma, in UniMath.Foundations.PartA]
iscontrpr1 [definition, in UniMath.Foundations.PartA]
iscontrretract [lemma, in UniMath.Foundations.PartA]
iscontrsecoverempty [definition, in UniMath.Foundations.PartD]
iscontrsecoverempty2 [definition, in UniMath.Foundations.PartD]
iscontrtildehProp [lemma, in UniMath.Foundations.Propositions]
iscontrunit [lemma, in UniMath.Foundations.PartA]
iscontrweqb [lemma, in UniMath.Foundations.PartA]
iscontrweqf [lemma, in UniMath.Foundations.PartA]
iscontr_move_point_eq [lemma, in UniMath.Foundations.PartA]
iscontr_move_point [lemma, in UniMath.Foundations.PartA]
iscontr_uniqueness [definition, in UniMath.Foundations.PartA]
iscontr_hProp [definition, in UniMath.MoreFoundations.Propositions]
iscoproj [definition, in UniMath.Foundations.PartC]
iscoprojfromisdecincl [lemma, in UniMath.Foundations.PartC]
iscotrans [definition, in UniMath.Foundations.Sets]
iscotranslogeqf [definition, in UniMath.Foundations.Sets]
iscotransnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
iscotransnatlth [definition, in UniMath.Foundations.NaturalNumbers]
iscotransquotrel [lemma, in UniMath.Foundations.Sets]
iscotransresrel [definition, in UniMath.Foundations.Sets]
iscotrans_to_istrans_negReln [lemma, in UniMath.MoreFoundations.NegativePropositions]
isdcpomorphism [definition, in UniMath.Algebra.DCPO]
isdcpomorphism' [definition, in UniMath.Algebra.DCPO]
isdeccotrans [definition, in UniMath.Foundations.Sets]
isdeceq [definition, in UniMath.Foundations.PartB]
isdeceqbool [lemma, in UniMath.Foundations.PartB]
isdeceqcoprod [lemma, in UniMath.Foundations.PartB]
isdeceqif [lemma, in UniMath.Foundations.PartC]
isdeceqifisaprop [lemma, in UniMath.Foundations.PartB]
isdeceqinclb [lemma, in UniMath.Foundations.PartB]
isdeceqnat [definition, in UniMath.Foundations.NaturalNumbers]
isdeceqsetquot [definition, in UniMath.Foundations.Sets]
isdeceqsetquot_non_constr [lemma, in UniMath.Foundations.Sets]
isdecequnit [lemma, in UniMath.Foundations.PartB]
isdeceqweqb [lemma, in UniMath.Foundations.PartB]
isdeceqweqf [lemma, in UniMath.Foundations.PartB]
isdeceq_total2 [lemma, in UniMath.Foundations.PartB]
isdeceq_retract [definition, in UniMath.MoreFoundations.Wtypes]
isDecidablePredicate [definition, in UniMath.MoreFoundations.Subtypes]
isdecidable_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
isdecincl [definition, in UniMath.Foundations.PartC]
isdecinclcomp [lemma, in UniMath.Foundations.PartC]
isdecincldi [lemma, in UniMath.Foundations.NaturalNumbers]
isdecinclf [lemma, in UniMath.Foundations.PartC]
isdecinclfromiscoproj [lemma, in UniMath.Foundations.PartC]
isdecinclfromisweq [lemma, in UniMath.Foundations.PartC]
isdecinclg [lemma, in UniMath.Foundations.PartC]
isdecinclhomot [lemma, in UniMath.Foundations.PartC]
isdecinclii1 [lemma, in UniMath.Foundations.PartC]
isdecinclii2 [lemma, in UniMath.Foundations.PartC]
isdecinclnatplusr [lemma, in UniMath.Foundations.NaturalNumbers]
isdecinclpr1 [lemma, in UniMath.Foundations.PartC]
isdecinclS [lemma, in UniMath.Foundations.NaturalNumbers]
isdecincltoisincl [lemma, in UniMath.Foundations.PartC]
isdecnegrel [lemma, in UniMath.Foundations.Sets]
isdecprop [definition, in UniMath.Foundations.PartB]
isdecpropdirprod [lemma, in UniMath.Foundations.PartC]
isdecpropempty [lemma, in UniMath.Foundations.PartB]
isdecpropfibseq0 [lemma, in UniMath.Foundations.PartC]
isdecpropfibseq1 [lemma, in UniMath.Foundations.PartC]
isdecpropfromdecincl [lemma, in UniMath.Foundations.PartC]
isdecpropfromiscontr [lemma, in UniMath.Foundations.PartB]
isdecpropfromneg [lemma, in UniMath.Foundations.PartB]
isdecprophdisj [lemma, in UniMath.Foundations.Propositions]
isdecpropif [lemma, in UniMath.Foundations.PartB]
isdecpropif' [lemma, in UniMath.Foundations.PartC]
isdecproplogeqb [lemma, in UniMath.Foundations.PartB]
isdecproplogeqf [lemma, in UniMath.Foundations.PartB]
isdecproppaths [lemma, in UniMath.Foundations.PartC]
isdecproppathsfromisolated [lemma, in UniMath.Foundations.PartC]
isdecproppathstoisolated [lemma, in UniMath.Foundations.PartC]
isdecproptoisaprop [definition, in UniMath.Foundations.PartB]
isdecpropweqb [lemma, in UniMath.Foundations.PartB]
isdecpropweqf [lemma, in UniMath.Foundations.PartB]
isdecprop_to_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
isdecquotrel [lemma, in UniMath.Foundations.Sets]
isdecrel [definition, in UniMath.Foundations.Sets]
isdecrellogeqf [definition, in UniMath.Foundations.Sets]
isdecrelnateq [definition, in UniMath.Foundations.NaturalNumbers]
isdecrelnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
isdecrelnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
isdecrelnatleh [definition, in UniMath.Foundations.NaturalNumbers]
isdecrelnatlth [definition, in UniMath.Foundations.NaturalNumbers]
isdecrelresrel [definition, in UniMath.Foundations.Sets]
isdecreltoisnegrel [lemma, in UniMath.Foundations.Sets]
isdecrel_natneq [definition, in UniMath.Foundations.NaturalNumbers]
isdectotal [definition, in UniMath.Foundations.Sets]
isdec_ordering [definition, in UniMath.Foundations.Sets]
isdefined [definition, in UniMath.Partiality.PartialElements]
isdefinedlub_toprop [lemma, in UniMath.Partiality.PartialElements]
isdefinedlub_toprop' [lemma, in UniMath.Partiality.PartialElements]
isdefined_lift_embedding [definition, in UniMath.Partiality.PartialElements]
isdirected [definition, in UniMath.Algebra.DCPO]
isdirectedcomplete [definition, in UniMath.Algebra.DCPO]
isdirected_order [definition, in UniMath.Algebra.DCPO]
isdirected_inhabited [definition, in UniMath.Algebra.DCPO]
iseqclass [definition, in UniMath.Foundations.Sets]
iseqclassconstr [definition, in UniMath.Foundations.Sets]
iseqclassdirprod [lemma, in UniMath.Foundations.Sets]
iseqclassresrel [lemma, in UniMath.Foundations.Sets]
iseqrel [definition, in UniMath.Foundations.Sets]
iseqrelconstr [definition, in UniMath.Foundations.Sets]
iseqrellogeqf [definition, in UniMath.Foundations.Sets]
iseqrelquotrel [lemma, in UniMath.Foundations.Sets]
iseqrelresrel [definition, in UniMath.Foundations.Sets]
isFalse [definition, in UniMath.MoreFoundations.DecidablePropositions]
isfibseq [definition, in UniMath.Foundations.PartA]
isfibseqg [lemma, in UniMath.Foundations.PartA]
isfibseqpr1 [lemma, in UniMath.Foundations.PartA]
ishfsq [definition, in UniMath.Foundations.PartA]
ishfsqweqhfibersgtof' [lemma, in UniMath.Foundations.PartA]
ishfsqweqhfibersg'tof [lemma, in UniMath.Foundations.PartA]
ishinh [definition, in UniMath.Foundations.Propositions]
ishinhsubtypedirprod [lemma, in UniMath.Foundations.Sets]
ishinh_irrel [lemma, in UniMath.MoreFoundations.Propositions]
ishinh_UU [definition, in UniMath.Foundations.Propositions]
ishomotinclrecomplf [lemma, in UniMath.Foundations.PartC]
isincl [definition, in UniMath.Foundations.PartB]
isinclbetweensets [lemma, in UniMath.Foundations.PartB]
isinclcomp [lemma, in UniMath.Foundations.PartB]
isincldi [lemma, in UniMath.Foundations.NaturalNumbers]
isinclfromcoprodwithnegimage [lemma, in UniMath.Foundations.PartC]
isinclfromhfiber [lemma, in UniMath.Foundations.PartB]
isinclfromunit [lemma, in UniMath.Foundations.PartB]
isinclgtogw [lemma, in UniMath.Foundations.PartB]
isinclgwtog [lemma, in UniMath.Foundations.PartB]
isinclhomot [lemma, in UniMath.Foundations.PartB]
isinclii1 [lemma, in UniMath.Foundations.PartC]
isinclii2 [lemma, in UniMath.Foundations.PartC]
isinclnatplusl [lemma, in UniMath.Foundations.NaturalNumbers]
isinclnatplusr [lemma, in UniMath.Foundations.NaturalNumbers]
isinclpr1 [definition, in UniMath.Foundations.PartB]
isinclpr1carrier [lemma, in UniMath.Foundations.Sets]
isinclpr1compl [lemma, in UniMath.Foundations.PartC]
isinclpr1compl_ne [lemma, in UniMath.MoreFoundations.NegativePropositions]
isinclpr1image [lemma, in UniMath.Foundations.Propositions]
isinclpr1isolated [lemma, in UniMath.Foundations.PartD]
isinclpr1setquot [lemma, in UniMath.Foundations.Sets]
isinclpr1weq [lemma, in UniMath.Foundations.PartD]
isinclS [lemma, in UniMath.Foundations.NaturalNumbers]
isinclsetquotfun [lemma, in UniMath.Foundations.Sets]
isincltwooutof3a [lemma, in UniMath.Foundations.PartB]
isinclweq [lemma, in UniMath.Foundations.PartB]
isinclweqonpaths [lemma, in UniMath.Foundations.PartB]
isincl_pr1_PosetEquivalence [lemma, in UniMath.Foundations.Sets]
isinhdneg [definition, in UniMath.Foundations.Propositions]
isInjective [definition, in UniMath.Foundations.PartB]
isInjectiveFunction [definition, in UniMath.Foundations.Sets]
isinjinvmap [definition, in UniMath.Foundations.PartA]
isinjinvmap' [definition, in UniMath.Foundations.PartA]
isinjpr1weq [lemma, in UniMath.Foundations.PartD]
isinj_pr1_PosetEquivalence [lemma, in UniMath.Foundations.Sets]
isirrefl [definition, in UniMath.Foundations.Sets]
isirrefllogeqf [definition, in UniMath.Foundations.Sets]
isirreflnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
isirreflnatlth [definition, in UniMath.Foundations.NaturalNumbers]
isirreflquotrel [lemma, in UniMath.Foundations.Sets]
isirreflresrel [definition, in UniMath.Foundations.Sets]
isirrefl_natneq [lemma, in UniMath.Foundations.NaturalNumbers]
isisolated [definition, in UniMath.Foundations.PartB]
isisolateddecinclf [lemma, in UniMath.Foundations.PartC]
isisolatedinclb [lemma, in UniMath.Foundations.PartB]
isisolatedn [definition, in UniMath.Foundations.NaturalNumbers]
isisolatedweqf [lemma, in UniMath.Foundations.PartB]
isisolated_ne_to_isisolated [definition, in UniMath.MoreFoundations.NegativePropositions]
isisolated_to_isisolated_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
isisolated_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
islogeqassochconj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqassochdisj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqcommhconj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqcommhdisj [lemma, in UniMath.Foundations.Propositions]
islogeqhconj_absorb_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqhdisj_absorb_hconj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqhfalse_hdisj [lemma, in UniMath.MoreFoundations.Propositions]
islogeqhhtrue_hconj [lemma, in UniMath.MoreFoundations.Propositions]
islub [definition, in UniMath.Algebra.DCPO]
islub_islubpointwise [lemma, in UniMath.Algebra.DCPO]
islub_isleast [definition, in UniMath.Algebra.DCPO]
islub_isupperbound [definition, in UniMath.Algebra.DCPO]
isMaximal [definition, in UniMath.Foundations.Sets]
isMinimal [definition, in UniMath.Foundations.Sets]
isnegnegrel [lemma, in UniMath.Foundations.Sets]
isnegrel [definition, in UniMath.Foundations.Sets]
isnegrellogeqf [definition, in UniMath.Foundations.Sets]
isnegrelnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
isnegrelnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
isnegrelnatleh [definition, in UniMath.Foundations.NaturalNumbers]
isnegrelnatlth [definition, in UniMath.Foundations.NaturalNumbers]
isnegrelresrel [definition, in UniMath.Foundations.Sets]
isofhlevel [definition, in UniMath.Foundations.PartB]
isofhlevelcontr [lemma, in UniMath.Foundations.PartB]
isofhleveldirprod [lemma, in UniMath.Foundations.PartB]
isofhlevelf [definition, in UniMath.Foundations.PartB]
isofhlevelfcoprodf [lemma, in UniMath.Foundations.PartC]
isofhlevelff [lemma, in UniMath.Foundations.PartB]
isofhlevelfffromZ [lemma, in UniMath.Foundations.PartB]
isofhlevelffib [lemma, in UniMath.Foundations.PartB]
isofhlevelffromXY [lemma, in UniMath.Foundations.PartB]
isofhlevelfgf [lemma, in UniMath.Foundations.PartB]
isofhlevelfgtogw [lemma, in UniMath.Foundations.PartB]
isofhlevelfgwtog [lemma, in UniMath.Foundations.PartB]
isofhlevelfhfiberpr1 [lemma, in UniMath.Foundations.PartB]
isofhlevelfhfiberpr1y [lemma, in UniMath.Foundations.PartB]
isofhlevelfhomot [lemma, in UniMath.Foundations.PartB]
isofhlevelfhomot2 [lemma, in UniMath.Foundations.PartB]
isofhlevelfonpaths [lemma, in UniMath.Foundations.PartB]
isofhlevelfpmap [lemma, in UniMath.Foundations.PartB]
isofhlevelfpr1 [lemma, in UniMath.Foundations.PartB]
isofhlevelfromfun [lemma, in UniMath.Foundations.PartB]
isofhlevelfsn [lemma, in UniMath.Foundations.PartB]
isofhlevelfsnfib [lemma, in UniMath.Foundations.PartB]
isofhlevelfsnhfiberpr1 [lemma, in UniMath.Foundations.PartB]
isofhlevelfsnincl [lemma, in UniMath.Foundations.PartB]
isofhlevelfssn [lemma, in UniMath.Foundations.PartB]
isofhlevelfssnsumofmaps [lemma, in UniMath.Foundations.PartC]
isofhlevelfsumofmapsnoi [lemma, in UniMath.Foundations.PartC]
isofhlevelfweq [lemma, in UniMath.Foundations.PartB]
isofhlevelpathspace [lemma, in UniMath.Foundations.HLevels]
isofhlevelsn [lemma, in UniMath.Foundations.PartB]
isofhlevelsninclb [definition, in UniMath.Foundations.PartB]
isofhlevelSnpathspace [lemma, in UniMath.Foundations.HLevels]
isofhlevelsnprop [lemma, in UniMath.Foundations.PartB]
isofhlevelsnsummand1 [lemma, in UniMath.Foundations.PartC]
isofhlevelsnsummand2 [lemma, in UniMath.Foundations.PartC]
isofhlevelsnweqfromhlevelsn [lemma, in UniMath.Foundations.PartD]
isofhlevelsnweqtohlevelsn [lemma, in UniMath.Foundations.PartD]
isofhlevelssn [lemma, in UniMath.Foundations.PartB]
isofhlevelssncoprod [lemma, in UniMath.Foundations.PartC]
isofhlevelssnset [lemma, in UniMath.Foundations.PartB]
isofhleveltofun [lemma, in UniMath.Foundations.PartB]
isofhleveltotal2 [lemma, in UniMath.Foundations.PartB]
isofhlevelweqb [lemma, in UniMath.Foundations.PartB]
isofhlevelweqf [lemma, in UniMath.Foundations.PartB]
isofhlevelXfromfY [lemma, in UniMath.Foundations.PartB]
isofhlevelXfromg [lemma, in UniMath.Foundations.PartB]
isofhlevel_hsubtype [lemma, in UniMath.MoreFoundations.PartA]
isofhlevel0pathspace [lemma, in UniMath.Foundations.HLevels]
isolated [definition, in UniMath.Foundations.PartB]
isolatedpair [definition, in UniMath.Foundations.PartB]
isolatedpair_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
isolatedtoisolatedii1 [lemma, in UniMath.Foundations.PartC]
isolatedtoisolatedii2 [lemma, in UniMath.Foundations.PartC]
isolated_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
isolation [definition, in UniMath.MoreFoundations.DecidablePropositions]
isolation_to_inequality [definition, in UniMath.MoreFoundations.DecidablePropositions]
isolfun1 [definition, in UniMath.Foundations.PartB]
isolfun2 [definition, in UniMath.Foundations.PartB]
isolfun3 [definition, in UniMath.Foundations.PartB]
Isos [library]
isPartialOrder [definition, in UniMath.Foundations.Sets]
ispartialorder_pointwiseorder [lemma, in UniMath.Algebra.DCPO]
ispologeqf [definition, in UniMath.Foundations.Sets]
ispoquotrel [lemma, in UniMath.Foundations.Sets]
isporesrel [definition, in UniMath.Foundations.Sets]
isPosetEquivalence [definition, in UniMath.Foundations.Sets]
isPosetEquivalence_idweq [definition, in UniMath.Foundations.Sets]
isPredicate [definition, in UniMath.Foundations.PartB]
ispreorder [definition, in UniMath.Foundations.Sets]
isProofIrrelevant [definition, in UniMath.Foundations.PartB]
isProofIrrelevantUnit [lemma, in UniMath.Foundations.PartA]
isProofIrrelevant_paths [lemma, in UniMath.Foundations.PartB]
isrefl [definition, in UniMath.Foundations.Sets]
isrefldirprod [definition, in UniMath.Foundations.Sets]
isrefleqh [lemma, in UniMath.Foundations.Sets]
isrefllogeqf [definition, in UniMath.Foundations.Sets]
isreflnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
isreflnatleh [definition, in UniMath.Foundations.NaturalNumbers]
isreflpathshrel [definition, in UniMath.Foundations.Sets]
isreflquotrel [lemma, in UniMath.Foundations.Sets]
isreflresrel [definition, in UniMath.Foundations.Sets]
isrefl_logeq [lemma, in UniMath.Foundations.PartA]
isrefl_posetRelation [lemma, in UniMath.Foundations.Sets]
issurjcomp [lemma, in UniMath.Foundations.Propositions]
issurjective [definition, in UniMath.Foundations.Propositions]
issurjectiveweq [lemma, in UniMath.Foundations.Propositions]
issurjprtoimage [lemma, in UniMath.Foundations.Propositions]
issurjsetquotfun [lemma, in UniMath.Foundations.Sets]
issurjsetquotpr [lemma, in UniMath.Foundations.Sets]
issurjsetquot2pr [lemma, in UniMath.Foundations.Sets]
issurjtwooutof3b [lemma, in UniMath.Foundations.Propositions]
issurjtwooutof3c [abbreviation, in UniMath.Foundations.Propositions]
issymm [definition, in UniMath.Foundations.Sets]
issymmdirprod [definition, in UniMath.Foundations.Sets]
issymmlogeqf [definition, in UniMath.Foundations.Sets]
issymmpathshrel [definition, in UniMath.Foundations.Sets]
issymmquotrel [lemma, in UniMath.Foundations.Sets]
issymmresrel [definition, in UniMath.Foundations.Sets]
issymm_natneq [lemma, in UniMath.Foundations.NaturalNumbers]
issymm_logeq [lemma, in UniMath.Foundations.PartA]
istotal [definition, in UniMath.Foundations.Sets]
istotallogeqf [definition, in UniMath.Foundations.Sets]
istotalnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
istotalnatleh [definition, in UniMath.Foundations.NaturalNumbers]
istotalquotrel [lemma, in UniMath.Foundations.Sets]
istotalresrel [definition, in UniMath.Foundations.Sets]
istotaltoiscoasymm [lemma, in UniMath.Foundations.Sets]
istrans [definition, in UniMath.Foundations.Sets]
istransandirrefltoasymm [lemma, in UniMath.Foundations.Sets]
istransdirprod [definition, in UniMath.Foundations.Sets]
istranslogeqf [definition, in UniMath.Foundations.Sets]
istransnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
istransnatgth [lemma, in UniMath.Foundations.NaturalNumbers]
istransnatleh [definition, in UniMath.Foundations.NaturalNumbers]
istransnatlth [definition, in UniMath.Foundations.NaturalNumbers]
istransnegrel [lemma, in UniMath.Foundations.Sets]
istranspathshrel [definition, in UniMath.Foundations.Sets]
istransquotrel [lemma, in UniMath.Foundations.Sets]
istransresrel [definition, in UniMath.Foundations.Sets]
istrans_posetRelation [lemma, in UniMath.Foundations.Sets]
isTrue [definition, in UniMath.MoreFoundations.DecidablePropositions]
isupperbound [definition, in UniMath.Algebra.DCPO]
isweq [definition, in UniMath.Foundations.PartA]
isweqbandfmap [lemma, in UniMath.Foundations.PartA]
isweqboolsumtocoprod [lemma, in UniMath.Foundations.PartA]
isweqcompwithweqUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweqcontrcontr [lemma, in UniMath.Foundations.PartA]
isweqcontrtounit [lemma, in UniMath.Foundations.PartA]
isweqcoprodasstol [lemma, in UniMath.Foundations.PartA]
isweqcoprodasstor [lemma, in UniMath.Foundations.PartA]
isweqcoprodcomm [lemma, in UniMath.Foundations.PartA]
isweqcoprodf [lemma, in UniMath.Foundations.PartA]
isweqcoprodtoboolsum [lemma, in UniMath.Foundations.PartA]
isweqdeltap [lemma, in UniMath.Foundations.PartA]
isweqdirprodf [lemma, in UniMath.Foundations.PartA]
isweqezmaphf [lemma, in UniMath.Foundations.PartA]
isweqezmappr1 [definition, in UniMath.Foundations.PartA]
isweqezmap1 [lemma, in UniMath.Foundations.PartA]
isweqfibtototal [lemma, in UniMath.Foundations.PartA]
isweqfinfibseq [lemma, in UniMath.Foundations.PartB]
isweqforalltohfiber [lemma, in UniMath.Foundations.PartD]
isweqforalltototal [lemma, in UniMath.Foundations.PartD]
isweqfpmap [lemma, in UniMath.Foundations.PartA]
isweqfromcoconusf [lemma, in UniMath.Foundations.PartA]
isweqfromcompltodisjoint [lemma, in UniMath.Foundations.PartC]
isweqhff [lemma, in UniMath.Foundations.PartA]
isweqhfiberfp [lemma, in UniMath.Foundations.PartA]
isweqhfibersgtof' [lemma, in UniMath.Foundations.PartA]
isweqhfibersg'tof [lemma, in UniMath.Foundations.PartA]
isweqhfibertoforall [lemma, in UniMath.Foundations.PartD]
isweqhomot [lemma, in UniMath.Foundations.PartA]
isweqhomot_iff [lemma, in UniMath.Foundations.PartA]
isweqii1withneg [lemma, in UniMath.Foundations.PartA]
isweqii2withneg [lemma, in UniMath.Foundations.PartA]
isweqimplimpl [lemma, in UniMath.Foundations.PartB]
isweqinclandsurj [lemma, in UniMath.Foundations.Propositions]
isweqinvezmaphf [definition, in UniMath.Foundations.PartA]
isweqinvmap [lemma, in UniMath.Foundations.PartA]
isweqlcompwithweqUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweql3 [lemma, in UniMath.Foundations.PartA]
isweqmaponpaths [lemma, in UniMath.Foundations.PartA]
isweqmaponsec [lemma, in UniMath.Foundations.PartD]
isweqmaponsec1 [lemma, in UniMath.Foundations.PartD]
isweqonpathsincl [lemma, in UniMath.Foundations.PartB]
isweqpathscomp0r [lemma, in UniMath.Foundations.PartA]
isweqpathsinv0 [lemma, in UniMath.Foundations.PartA]
isweqpr1 [lemma, in UniMath.Foundations.PartB]
isweqpr1pr1 [lemma, in UniMath.Foundations.PartA]
isweqrcompwithweqUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweqrdistrtocoprod [lemma, in UniMath.Foundations.PartA]
isweqrdistrtoprod [lemma, in UniMath.Foundations.PartA]
isweqrecompl [lemma, in UniMath.Foundations.PartC]
isweqrecompl_ne' [lemma, in UniMath.MoreFoundations.NegativePropositions]
isweqrecompl_ne [lemma, in UniMath.MoreFoundations.NegativePropositions]
isweqrecompl' [lemma, in UniMath.MoreFoundations.NegativePropositions]
isweqtococonusf [lemma, in UniMath.Foundations.PartA]
isweqtocompltodisjoint [lemma, in UniMath.Foundations.PartC]
isweqtocompltoii1x [lemma, in UniMath.Foundations.PartC]
isweqtocompltoii2y [lemma, in UniMath.Foundations.PartC]
isweqtoempty [definition, in UniMath.Foundations.PartA]
isweqtoempty2 [lemma, in UniMath.Foundations.PartA]
isweqtoforallpaths [definition, in UniMath.Foundations.UnivalenceAxiom]
isweqtoforallpathsAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
isweqtoforallpathsStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
isweqtoforallpathsUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweqtotaltofib [lemma, in UniMath.Foundations.PartA]
isweqtotaltoforall [lemma, in UniMath.Foundations.PartD]
isweqtransportb [lemma, in UniMath.Foundations.PartA]
isweqtransportb10 [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweqtransportf [lemma, in UniMath.Foundations.PartA]
isweqtransportf10 [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweqweqtransportbUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
isweq_iso [lemma, in UniMath.Foundations.PartA]
isweq_to_isweq_unit [lemma, in UniMath.Foundations.PartA]
isweq_flipsec [lemma, in UniMath.MoreFoundations.PartA]
is_singlevalued [definition, in UniMath.MoreFoundations.ClosureOfHrel]
iter [definition, in UniMath.Algebra.DCPO]
IteratedBinaryOperations [library]
iteration [definition, in UniMath.Foundations.PartA]
iter_isdcpomorphism' [lemma, in UniMath.Algebra.DCPO]
iter_preservesorder [lemma, in UniMath.Algebra.DCPO]
iter' [definition, in UniMath.Algebra.DCPO]
iter'_isdirected [lemma, in UniMath.Algebra.DCPO]
iter'_increases [lemma, in UniMath.Algebra.DCPO]
iter'_isomegachain [lemma, in UniMath.Algebra.DCPO]
K
KA [library]KAPreTriangulated [library]
KATriangulated [library]
kernels [library]
kernels [library]
Kleisli [library]
KleisliCategory [library]
Kleisli_extension_dcpo [definition, in UniMath.Partiality.LiftMonad]
Kleisli_extension_preservesorder [lemma, in UniMath.Partiality.LiftMonad]
Kleisli_extension [definition, in UniMath.Partiality.LiftMonad]
KTriples [library]
KTriplesEquiv [library]
k_dcpo [definition, in UniMath.Partiality.PCF]
L
Lam [library]LambdaCalculus [library]
LamFromBindingSig [library]
LamHSET [library]
LamSignature [library]
Lattice [library]
LatticeObject [library]
leastfixedpoint [definition, in UniMath.Algebra.DCPO]
leastfixedpoint [section, in UniMath.Algebra.DCPO]
leastfixedpoint_isleast [lemma, in UniMath.Algebra.DCPO]
leastfixedpoint_isfixedpoint [lemma, in UniMath.Algebra.DCPO]
μ (DCPO) [notation, in UniMath.Algebra.DCPO]
leastupperbound [section, in UniMath.Algebra.DCPO]
leastupperbound.f [variable, in UniMath.Algebra.DCPO]
leftstep [constructor, in UniMath.MoreFoundations.ClosureOfHrel]
lefttostep [definition, in UniMath.MoreFoundations.ClosureOfHrel]
lefttostep_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
left_regular_equiv [definition, in UniMath.MoreFoundations.ClosureOfHrel]
LEM [definition, in UniMath.MoreFoundations.DecidablePropositions]
lemmas [library]
LEM_for_sets [lemma, in UniMath.MoreFoundations.DecidablePropositions]
lift [definition, in UniMath.Partiality.PartialElements]
lift [section, in UniMath.Partiality.PartialElements]
liftdcpo [definition, in UniMath.Partiality.PartialElements]
liftdcpo [section, in UniMath.Partiality.PartialElements]
liftdcpowithbottom [definition, in UniMath.Partiality.PartialElements]
_ ⊑ _ (LiftIsPoset) [notation, in UniMath.Partiality.PartialElements]
𝓛 (LiftIsPoset) [notation, in UniMath.Partiality.PartialElements]
lifted_ifz [definition, in UniMath.Partiality.PCF]
lifted_ifz' [definition, in UniMath.Partiality.PCF]
lifted_pred [definition, in UniMath.Partiality.PCF]
lifted_succ [definition, in UniMath.Partiality.PCF]
lifteq_suff [definition, in UniMath.Partiality.PartialElements]
lifteq_necc [definition, in UniMath.Partiality.PartialElements]
lifteq_valueeq [definition, in UniMath.Partiality.PartialElements]
lifteq_isdefined [definition, in UniMath.Partiality.PartialElements]
liftfunctor [definition, in UniMath.Partiality.LiftMonad]
liftfunctor_dcpo [definition, in UniMath.Partiality.LiftMonad]
liftfunctor_eq [definition, in UniMath.Partiality.LiftMonad]
liftfunctor' [definition, in UniMath.Partiality.LiftMonad]
LiftingInitial [library]
LiftingInitial_alt [library]
liftlub_isdefined [lemma, in UniMath.Partiality.PartialElements]
liftlub_isdefined' [lemma, in UniMath.Partiality.PartialElements]
liftmonad [section, in UniMath.Partiality.LiftMonad]
LiftMonad [library]
liftmonaddcpo [section, in UniMath.Partiality.LiftMonad]
_ # (LiftMonad) [notation, in UniMath.Partiality.LiftMonad]
liftofhSet [definition, in UniMath.Partiality.PartialElements]
liftofhset_isaset [lemma, in UniMath.Partiality.PartialElements]
liftorder [definition, in UniMath.Partiality.PartialElements]
liftorder [section, in UniMath.Partiality.PartialElements]
liftorder_hrel [definition, in UniMath.Partiality.PartialElements]
liftorder_ispropvalued [lemma, in UniMath.Partiality.PartialElements]
liftorder_least_isleast [definition, in UniMath.Partiality.PartialElements]
liftorder_least [definition, in UniMath.Partiality.PartialElements]
liftorder_transitive [definition, in UniMath.Partiality.PartialElements]
liftorder_reflexive [definition, in UniMath.Partiality.PartialElements]
liftorder_antisymmetric [definition, in UniMath.Partiality.PartialElements]
_ ⊑ _ (PartialElements) [notation, in UniMath.Partiality.PartialElements]
⊥ (PartialElements) [notation, in UniMath.Partiality.PartialElements]
liftposet [definition, in UniMath.Partiality.PartialElements]
LiftSurjection [section, in UniMath.Foundations.Sets]
LiftSurjection.comp_f_epi [variable, in UniMath.Foundations.Sets]
LiftSurjection.f [variable, in UniMath.Foundations.Sets]
LiftSurjection.hsc [variable, in UniMath.Foundations.Sets]
LiftSurjection.p [variable, in UniMath.Foundations.Sets]
LiftSurjection.surjectivep [variable, in UniMath.Foundations.Sets]
lift_isdirectedcomplete [lemma, in UniMath.Partiality.PartialElements]
lift_embedding [definition, in UniMath.Partiality.PartialElements]
η (PartialElements) [notation, in UniMath.Partiality.PartialElements]
𝓛 (PartialElements) [notation, in UniMath.Partiality.PartialElements]
limits [library]
limits [library]
Limits [library]
Limits [library]
Limits [library]
Limits [library]
Lists [library]
Lists [library]
LModules [library]
LocalizingClass [library]
logeq [definition, in UniMath.Foundations.PartA]
logeqnegs [definition, in UniMath.Foundations.PartA]
logeqweq [definition, in UniMath.Foundations.Propositions]
logeq_trans [definition, in UniMath.Foundations.PartA]
logeq_both_false [definition, in UniMath.Foundations.PartA]
logeq_both_true [definition, in UniMath.Foundations.PartA]
logeq_if_both_false [lemma, in UniMath.MoreFoundations.Propositions]
logeq_if_both_true [lemma, in UniMath.MoreFoundations.Propositions]
logeq_dec [lemma, in UniMath.MoreFoundations.DecidablePropositions]
lthnatrem [lemma, in UniMath.Foundations.NaturalNumbers]
lubpreservesorder [lemma, in UniMath.Algebra.DCPO]
lubsareunique [lemma, in UniMath.Algebra.DCPO]
lubvaluemap [definition, in UniMath.Partiality.PartialElements]
lubvaluemap_weaklyconstant [definition, in UniMath.Partiality.PartialElements]
l1 [lemma, in UniMath.Foundations.UnivalenceAxiom]
M
Magma [library]makeSubset [definition, in UniMath.MoreFoundations.Sets]
make_neqProp [definition, in UniMath.MoreFoundations.NegativePropositions]
make_negProp [definition, in UniMath.MoreFoundations.NegativePropositions]
maponcomplincl [definition, in UniMath.Foundations.PartC]
maponcomplincl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
maponpaths [definition, in UniMath.Foundations.PartA]
maponpathscomp [lemma, in UniMath.Foundations.PartA]
maponpathscomp0 [definition, in UniMath.Foundations.PartA]
maponpathshomidinv [definition, in UniMath.Foundations.PartA]
maponpathshomid1 [lemma, in UniMath.Foundations.PartA]
maponpathshomid2 [lemma, in UniMath.Foundations.PartA]
maponpathsidfun [lemma, in UniMath.Foundations.PartA]
maponpathsinv0 [definition, in UniMath.Foundations.PartA]
maponpaths_2 [definition, in UniMath.MoreFoundations.PartA]
maponpaths_for_constant_function [lemma, in UniMath.MoreFoundations.PartA]
maponsec [definition, in UniMath.Foundations.PartD]
maponsec1 [definition, in UniMath.Foundations.PartD]
maponsec1l0 [definition, in UniMath.Foundations.PartD]
maponsec1l1 [lemma, in UniMath.Foundations.PartD]
maponsec1l2 [lemma, in UniMath.Foundations.PartD]
MappingCone [library]
MappingCylinder [library]
map_on_two_paths [definition, in UniMath.Foundations.PartA]
Map1Cells [library]
Map2Cells [library]
Matrix [library]
max [definition, in UniMath.Foundations.Preamble]
MetricTree [library]
min [definition, in UniMath.Foundations.Preamble]
minuseq0 [definition, in UniMath.Foundations.NaturalNumbers]
minuseq0' [definition, in UniMath.Foundations.NaturalNumbers]
minusgth0 [definition, in UniMath.Foundations.NaturalNumbers]
minusgth0inv [definition, in UniMath.Foundations.NaturalNumbers]
minusminusmmn [definition, in UniMath.Foundations.NaturalNumbers]
minusplusnmm [definition, in UniMath.Foundations.NaturalNumbers]
minusplusnmmineq [definition, in UniMath.Foundations.NaturalNumbers]
mkconst_dcpomor [definition, in UniMath.Algebra.DCPO]
mkdcpomorphism [definition, in UniMath.Algebra.DCPO]
mkdirectedlubinlift [definition, in UniMath.Partiality.PartialElements]
mkdirectedlubinlift_islub [lemma, in UniMath.Partiality.PartialElements]
MLTT79 [library]
Modules [library]
modules [library]
ModulesFromSignatures [library]
MonadAlgebras [library]
Monads [library]
Monads [library]
MonadsFromSubstitutionSystems [library]
MonadsMultiSorted [library]
Monics [library]
MonoEpiIso [library]
Monoid [library]
MonoidalCategories [library]
MonoidalFunctors [library]
Monoids [library]
monoids [library]
Monoids_Tactics [library]
MoreEquivalences [library]
morphismofdcpos [section, in UniMath.Algebra.DCPO]
Morphisms [library]
morphismsofdcpos_formdcpo [section, in UniMath.Algebra.DCPO]
mul [definition, in UniMath.Foundations.Preamble]
Multimodules [library]
MultiSorted [library]
multnsm [lemma, in UniMath.Foundations.NaturalNumbers]
multsnm [lemma, in UniMath.Foundations.NaturalNumbers]
N
nat [inductive, in UniMath.Foundations.Preamble]Nat [library]
natboolneq [definition, in UniMath.Foundations.NaturalNumbers]
natchoice0 [definition, in UniMath.Foundations.NaturalNumbers]
natdeceq [definition, in UniMath.Foundations.NaturalNumbers]
natdecneq [definition, in UniMath.Foundations.NaturalNumbers]
natdiffplusdiff [lemma, in UniMath.Foundations.NaturalNumbers]
natdiv [definition, in UniMath.Foundations.NaturalNumbers]
natdivandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natdivandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natdivrem [definition, in UniMath.Foundations.NaturalNumbers]
natdivremandmultl [lemma, in UniMath.Foundations.NaturalNumbers]
natdivremandmultr [lemma, in UniMath.Foundations.NaturalNumbers]
natdivremrule [lemma, in UniMath.Foundations.NaturalNumbers]
natdivremunique [lemma, in UniMath.Foundations.NaturalNumbers]
nateq [definition, in UniMath.Foundations.NaturalNumbers]
nateq_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natgeh [definition, in UniMath.Foundations.NaturalNumbers]
natgehandminusl [definition, in UniMath.Foundations.NaturalNumbers]
natgehandminusr [definition, in UniMath.Foundations.NaturalNumbers]
natgehandminusrinv [definition, in UniMath.Foundations.NaturalNumbers]
natgehandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natgehandmultlinv [definition, in UniMath.Foundations.NaturalNumbers]
natgehandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natgehandmultrinv [definition, in UniMath.Foundations.NaturalNumbers]
natgehandplusl [definition, in UniMath.Foundations.NaturalNumbers]
natgehandpluslinv [definition, in UniMath.Foundations.NaturalNumbers]
natgehandplusr [definition, in UniMath.Foundations.NaturalNumbers]
natgehandplusrinv [definition, in UniMath.Foundations.NaturalNumbers]
natgehchoice [definition, in UniMath.Foundations.NaturalNumbers]
natgehchoice2 [lemma, in UniMath.Foundations.NaturalNumbers]
natgehchoice3 [lemma, in UniMath.Foundations.NaturalNumbers]
natgehdec [definition, in UniMath.Foundations.NaturalNumbers]
natgehdinn [lemma, in UniMath.Foundations.NaturalNumbers]
natgehgthtrans [lemma, in UniMath.Foundations.NaturalNumbers]
natgehn0 [definition, in UniMath.Foundations.NaturalNumbers]
natgehplusnmm [definition, in UniMath.Foundations.NaturalNumbers]
natgehplusnmn [definition, in UniMath.Foundations.NaturalNumbers]
natgehp1togth [lemma, in UniMath.Foundations.NaturalNumbers]
natgehsnn [definition, in UniMath.Foundations.NaturalNumbers]
natgehsntogth [lemma, in UniMath.Foundations.NaturalNumbers]
natgehtogehm1 [definition, in UniMath.Foundations.NaturalNumbers]
natgehtogehp1 [definition, in UniMath.Foundations.NaturalNumbers]
natgehtogehs [definition, in UniMath.Foundations.NaturalNumbers]
natgehtogthsn [lemma, in UniMath.Foundations.NaturalNumbers]
natgehtonegnatlth [definition, in UniMath.Foundations.NaturalNumbers]
natgeh_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natgtb [definition, in UniMath.Foundations.NaturalNumbers]
natgth [definition, in UniMath.Foundations.NaturalNumbers]
natgthandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natgthandmultlinv [definition, in UniMath.Foundations.NaturalNumbers]
natgthandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natgthandmultrinv [definition, in UniMath.Foundations.NaturalNumbers]
natgthandplusl [definition, in UniMath.Foundations.NaturalNumbers]
natgthandpluslinv [definition, in UniMath.Foundations.NaturalNumbers]
natgthandplusm [definition, in UniMath.Foundations.NaturalNumbers]
natgthandplusr [definition, in UniMath.Foundations.NaturalNumbers]
natgthandplusrinv [definition, in UniMath.Foundations.NaturalNumbers]
natgthchoice2 [lemma, in UniMath.Foundations.NaturalNumbers]
natgthchoice3 [lemma, in UniMath.Foundations.NaturalNumbers]
natgthdec [definition, in UniMath.Foundations.NaturalNumbers]
natgthgehtrans [lemma, in UniMath.Foundations.NaturalNumbers]
natgthnegleh [lemma, in UniMath.Foundations.NaturalNumbers]
natgthorleh [definition, in UniMath.Foundations.NaturalNumbers]
natgthp1togeh [lemma, in UniMath.Foundations.NaturalNumbers]
natgthsnn [lemma, in UniMath.Foundations.NaturalNumbers]
natgthsntogeh [lemma, in UniMath.Foundations.NaturalNumbers]
natgthsn0 [lemma, in UniMath.Foundations.NaturalNumbers]
natgthtogeh [definition, in UniMath.Foundations.NaturalNumbers]
natgthtogehm1 [definition, in UniMath.Foundations.NaturalNumbers]
natgthtogehp1 [lemma, in UniMath.Foundations.NaturalNumbers]
natgthtogehsn [lemma, in UniMath.Foundations.NaturalNumbers]
natgthtogthm1 [definition, in UniMath.Foundations.NaturalNumbers]
natgthtogthp1 [definition, in UniMath.Foundations.NaturalNumbers]
natgthtogths [definition, in UniMath.Foundations.NaturalNumbers]
natgthtonegnatleh [definition, in UniMath.Foundations.NaturalNumbers]
natgthtoneq [lemma, in UniMath.Foundations.NaturalNumbers]
natgth_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natldistr [lemma, in UniMath.Foundations.NaturalNumbers]
natleh [definition, in UniMath.Foundations.NaturalNumbers]
natlehandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natlehandmultlinv [definition, in UniMath.Foundations.NaturalNumbers]
natlehandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natlehandmultrinv [definition, in UniMath.Foundations.NaturalNumbers]
natlehandplus [definition, in UniMath.Foundations.NaturalNumbers]
natlehandplusl [definition, in UniMath.Foundations.NaturalNumbers]
natlehandpluslinv [definition, in UniMath.Foundations.NaturalNumbers]
natlehandplusr [definition, in UniMath.Foundations.NaturalNumbers]
natlehandplusrinv [definition, in UniMath.Foundations.NaturalNumbers]
natlehchoice [definition, in UniMath.Foundations.NaturalNumbers]
natlehchoice2 [lemma, in UniMath.Foundations.NaturalNumbers]
natlehchoice3 [lemma, in UniMath.Foundations.NaturalNumbers]
natlehchoice4 [lemma, in UniMath.Foundations.NaturalNumbers]
natlehdec [definition, in UniMath.Foundations.NaturalNumbers]
natlehdinsn [lemma, in UniMath.Foundations.NaturalNumbers]
natlehlthtrans [lemma, in UniMath.Foundations.NaturalNumbers]
natlehmplusnm [definition, in UniMath.Foundations.NaturalNumbers]
natlehmultnatdiv [lemma, in UniMath.Foundations.NaturalNumbers]
natlehneggth [lemma, in UniMath.Foundations.NaturalNumbers]
natlehnplusnm [definition, in UniMath.Foundations.NaturalNumbers]
natlehnsn [definition, in UniMath.Foundations.NaturalNumbers]
natlehp1tolth [lemma, in UniMath.Foundations.NaturalNumbers]
natlehsntolth [lemma, in UniMath.Foundations.NaturalNumbers]
natlehtolehm1 [definition, in UniMath.Foundations.NaturalNumbers]
natlehtolehp1 [definition, in UniMath.Foundations.NaturalNumbers]
natlehtolehs [definition, in UniMath.Foundations.NaturalNumbers]
natlehtolthsn [lemma, in UniMath.Foundations.NaturalNumbers]
natlehtonegnatgth [definition, in UniMath.Foundations.NaturalNumbers]
natleh_neq [lemma, in UniMath.Foundations.NaturalNumbers]
natleh_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natleh0n [definition, in UniMath.Foundations.NaturalNumbers]
natleh0tois0 [definition, in UniMath.Foundations.NaturalNumbers]
natlth [definition, in UniMath.Foundations.NaturalNumbers]
natlthandminusl [definition, in UniMath.Foundations.NaturalNumbers]
natlthandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natlthandmultlinv [definition, in UniMath.Foundations.NaturalNumbers]
natlthandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natlthandmultrinv [definition, in UniMath.Foundations.NaturalNumbers]
natlthandplusl [definition, in UniMath.Foundations.NaturalNumbers]
natlthandpluslinv [definition, in UniMath.Foundations.NaturalNumbers]
natlthandplusm [definition, in UniMath.Foundations.NaturalNumbers]
natlthandplusr [definition, in UniMath.Foundations.NaturalNumbers]
natlthandplusrinv [definition, in UniMath.Foundations.NaturalNumbers]
natlthchoice2 [lemma, in UniMath.Foundations.NaturalNumbers]
natlthchoice3 [lemma, in UniMath.Foundations.NaturalNumbers]
natlthdec [definition, in UniMath.Foundations.NaturalNumbers]
natlthlehtrans [lemma, in UniMath.Foundations.NaturalNumbers]
natlthnsn [definition, in UniMath.Foundations.NaturalNumbers]
natlthorgeh [definition, in UniMath.Foundations.NaturalNumbers]
natlthp1toleh [lemma, in UniMath.Foundations.NaturalNumbers]
natlthsntoleh [lemma, in UniMath.Foundations.NaturalNumbers]
natlthtoleh [definition, in UniMath.Foundations.NaturalNumbers]
natlthtolehp1 [lemma, in UniMath.Foundations.NaturalNumbers]
natlthtolehsn [lemma, in UniMath.Foundations.NaturalNumbers]
natlthtolthm1 [definition, in UniMath.Foundations.NaturalNumbers]
natlthtolthp1 [definition, in UniMath.Foundations.NaturalNumbers]
natlthtolths [definition, in UniMath.Foundations.NaturalNumbers]
natlthtonegnatgeh [definition, in UniMath.Foundations.NaturalNumbers]
natlthtoneq [lemma, in UniMath.Foundations.NaturalNumbers]
natlth_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natlth1tois0 [definition, in UniMath.Foundations.NaturalNumbers]
natltltSlt [lemma, in UniMath.Foundations.NaturalNumbers]
natltplusS [lemma, in UniMath.Foundations.NaturalNumbers]
natminuseqn [definition, in UniMath.Foundations.NaturalNumbers]
natminusgehn [definition, in UniMath.Foundations.NaturalNumbers]
natminuslehn [definition, in UniMath.Foundations.NaturalNumbers]
natminuslthn [definition, in UniMath.Foundations.NaturalNumbers]
natminuslthninv [definition, in UniMath.Foundations.NaturalNumbers]
natminusminus [lemma, in UniMath.Foundations.NaturalNumbers]
natmultassoc [lemma, in UniMath.Foundations.NaturalNumbers]
natmultcomm [lemma, in UniMath.Foundations.NaturalNumbers]
natmultl1 [lemma, in UniMath.Foundations.NaturalNumbers]
natmultn0 [lemma, in UniMath.Foundations.NaturalNumbers]
natmultr1 [lemma, in UniMath.Foundations.NaturalNumbers]
natmult0n [lemma, in UniMath.Foundations.NaturalNumbers]
natnegpaths [definition, in UniMath.Foundations.NaturalNumbers]
natneq [definition, in UniMath.MoreFoundations.NegativePropositions]
natneqchoice [definition, in UniMath.Foundations.NaturalNumbers]
natneqinjS [lemma, in UniMath.Foundations.NaturalNumbers]
natneqsx0 [lemma, in UniMath.Foundations.NaturalNumbers]
natneq_iff_neq [lemma, in UniMath.Foundations.NaturalNumbers]
natneq_hProp [definition, in UniMath.Foundations.NaturalNumbers]
natneq_DecidableProposition [definition, in UniMath.MoreFoundations.DecidablePropositions]
natneq0andmult [definition, in UniMath.Foundations.NaturalNumbers]
natneq0andmultlinv [definition, in UniMath.Foundations.NaturalNumbers]
natneq0andmultrinv [definition, in UniMath.Foundations.NaturalNumbers]
natneq0sx [lemma, in UniMath.Foundations.NaturalNumbers]
natneq0togth0 [lemma, in UniMath.Foundations.NaturalNumbers]
natneq0to0lth [definition, in UniMath.Foundations.NaturalNumbers]
natplusassoc [lemma, in UniMath.Foundations.NaturalNumbers]
natpluscomm [lemma, in UniMath.Foundations.NaturalNumbers]
natpluslcan [lemma, in UniMath.Foundations.NaturalNumbers]
natplusl0 [lemma, in UniMath.Foundations.NaturalNumbers]
natplusminusle [lemma, in UniMath.Foundations.NaturalNumbers]
natplusnonzero [definition, in UniMath.Foundations.NaturalNumbers]
natplusnsm [lemma, in UniMath.Foundations.NaturalNumbers]
natplusrcan [lemma, in UniMath.Foundations.NaturalNumbers]
natplusr0 [lemma, in UniMath.Foundations.NaturalNumbers]
natpower [definition, in UniMath.Foundations.NaturalNumbers]
natrdistr [lemma, in UniMath.Foundations.NaturalNumbers]
natrem [definition, in UniMath.Foundations.NaturalNumbers]
natremandmultl [definition, in UniMath.Foundations.NaturalNumbers]
natremandmultr [definition, in UniMath.Foundations.NaturalNumbers]
natset [definition, in UniMath.Foundations.NaturalNumbers]
NaturalNumbers [library]
NaturalNumbersAlgebra [library]
NaturalNumbers_le_Inductive [library]
Naturals [library]
NaturalTransformations [library]
nat_split [lemma, in UniMath.Foundations.NaturalNumbers]
nat_eq_or_neq [lemma, in UniMath.Foundations.NaturalNumbers]
nat_nopath_to_neq [lemma, in UniMath.Foundations.NaturalNumbers]
nat_neq_to_nopath [lemma, in UniMath.Foundations.NaturalNumbers]
nat_compl [definition, in UniMath.MoreFoundations.NegativePropositions]
Nat_Tactics [library]
nat0gehtois0 [definition, in UniMath.Foundations.NaturalNumbers]
nat1gthtois0 [lemma, in UniMath.Foundations.NaturalNumbers]
neg [definition, in UniMath.Foundations.PartA]
NegativePropositions [library]
negb [definition, in UniMath.Foundations.Preamble]
negf [definition, in UniMath.Foundations.PartA]
negfalsetotrue [definition, in UniMath.Foundations.PartA]
negforall_to_existsneg [lemma, in UniMath.MoreFoundations.Propositions]
negforall_to_existsneg' [lemma, in UniMath.MoreFoundations.DoubleNegation]
neggth_logeq_leh [definition, in UniMath.Foundations.NaturalNumbers]
neghexisttoforallneg [lemma, in UniMath.Foundations.Propositions]
neghfiberdi [lemma, in UniMath.Foundations.NaturalNumbers]
neghfiberii1y [lemma, in UniMath.Foundations.PartC]
neghfiberii2x [lemma, in UniMath.Foundations.PartC]
neghfibernatplusr [lemma, in UniMath.Foundations.NaturalNumbers]
negimage [definition, in UniMath.Foundations.PartC]
negimagepair [definition, in UniMath.Foundations.PartC]
negimpl_to_conj [lemma, in UniMath.MoreFoundations.Propositions]
negintersectii1ii2 [lemma, in UniMath.Foundations.PartC]
negnatgehnsn [definition, in UniMath.Foundations.NaturalNumbers]
negnatgehtolth [definition, in UniMath.Foundations.NaturalNumbers]
negnatgeh0sn [definition, in UniMath.Foundations.NaturalNumbers]
negnatgthmplusnm [definition, in UniMath.Foundations.NaturalNumbers]
negnatgthnn [abbreviation, in UniMath.Foundations.NaturalNumbers]
negnatgthnplusnm [definition, in UniMath.Foundations.NaturalNumbers]
negnatgthtoleh [lemma, in UniMath.Foundations.NaturalNumbers]
negnatgth0n [lemma, in UniMath.Foundations.NaturalNumbers]
negnatgth0tois0 [lemma, in UniMath.Foundations.NaturalNumbers]
negnatlehsnn [definition, in UniMath.Foundations.NaturalNumbers]
negnatlehsn0 [definition, in UniMath.Foundations.NaturalNumbers]
negnatlehtogth [lemma, in UniMath.Foundations.NaturalNumbers]
negnatlthnn [abbreviation, in UniMath.Foundations.NaturalNumbers]
negnatlthn0 [definition, in UniMath.Foundations.NaturalNumbers]
negnatlthplusnmm [definition, in UniMath.Foundations.NaturalNumbers]
negnatlthplusnmn [definition, in UniMath.Foundations.NaturalNumbers]
negnatlthtogeh [definition, in UniMath.Foundations.NaturalNumbers]
negnatSleh [lemma, in UniMath.Foundations.NaturalNumbers]
negnat0lthtois0 [definition, in UniMath.Foundations.NaturalNumbers]
negpathsii1ii2 [lemma, in UniMath.Foundations.PartA]
negpathsii2ii1 [lemma, in UniMath.Foundations.PartA]
negpathssx0 [lemma, in UniMath.Foundations.NaturalNumbers]
negpaths0sx [lemma, in UniMath.Foundations.NaturalNumbers]
negPred [definition, in UniMath.MoreFoundations.NegativePropositions]
negProp [definition, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_uniqueChoice [lemma, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_complementary [lemma, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_neg [definition, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_iff [definition, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_hProp [definition, in UniMath.MoreFoundations.NegativePropositions]
negProp_to_isaprop [definition, in UniMath.MoreFoundations.NegativePropositions]
negrel [definition, in UniMath.Foundations.Sets]
negReln [definition, in UniMath.MoreFoundations.NegativePropositions]
negrtopaths [definition, in UniMath.Foundations.Sets]
negtruetofalse [definition, in UniMath.Foundations.PartA]
neg_to_negProp [definition, in UniMath.MoreFoundations.NegativePropositions]
neg_isdecprop [lemma, in UniMath.MoreFoundations.DecidablePropositions]
neqchoice [definition, in UniMath.Foundations.Sets]
neqchoicelogeqf [definition, in UniMath.Foundations.Sets]
neqchoiceresrel [definition, in UniMath.Foundations.Sets]
neqh [definition, in UniMath.Foundations.Sets]
neqPred [definition, in UniMath.MoreFoundations.NegativePropositions]
neqProp [definition, in UniMath.MoreFoundations.NegativePropositions]
neqReln [definition, in UniMath.MoreFoundations.NegativePropositions]
neqset [definition, in UniMath.Foundations.Sets]
NNO [library]
noeqinjS [lemma, in UniMath.Foundations.NaturalNumbers]
noil1 [lemma, in UniMath.Foundations.PartC]
nonempty [abbreviation, in UniMath.Foundations.Propositions]
NonnegativeRationals [library]
NonnegativeReals [library]
nopathsfalsetotrue [lemma, in UniMath.Foundations.PartA]
nopathstruetofalse [lemma, in UniMath.Foundations.PartA]
Notation [library]
Notations [library]
Notations [library]
numeral [definition, in UniMath.Partiality.PCF]
O
O [constructor, in UniMath.Foundations.Preamble]OmegaCocontFunctors [library]
onefiber [lemma, in UniMath.Foundations.PartA]
OneTypes [library]
OpCellBicat [library]
operationalsemantics [section, in UniMath.Partiality.PCF]
_ ▹* _ (PCF) [notation, in UniMath.Partiality.PCF]
_ ▹ _ (PCF) [notation, in UniMath.Partiality.PCF]
OpFunctor [library]
OpMorBicat [library]
Opp [library]
opp_precat [library]
OrderedSets [library]
P
P [definition, in UniMath.Partiality.PCF]padics [library]
pairConjunction [definition, in UniMath.MoreFoundations.DecidablePropositions]
pairDisjunction [definition, in UniMath.MoreFoundations.DecidablePropositions]
pairNegation [definition, in UniMath.MoreFoundations.DecidablePropositions]
pair_path_in2 [definition, in UniMath.Foundations.PartA]
pair_falsehood [lemma, in UniMath.MoreFoundations.DecidablePropositions]
pair_truth [lemma, in UniMath.MoreFoundations.DecidablePropositions]
pair_contradiction [definition, in UniMath.MoreFoundations.DecidablePropositions]
PartA [library]
PartA [library]
PartB [library]
PartC [library]
PartD [library]
PartialElements [library]
PartialOrder [definition, in UniMath.Foundations.Sets]
PartialOrderpair [definition, in UniMath.Foundations.Sets]
Part1 [definition, in UniMath.MoreFoundations.DecidablePropositions]
Part2 [definition, in UniMath.MoreFoundations.DecidablePropositions]
PathPair [definition, in UniMath.Foundations.PartA]
paths [inductive, in UniMath.Foundations.Preamble]
pathscomp_inv [lemma, in UniMath.Foundations.PartA]
pathscomp_cancel_right [lemma, in UniMath.Foundations.PartA]
pathscomp_cancel_left [lemma, in UniMath.Foundations.PartA]
pathscomp0 [definition, in UniMath.Foundations.PartA]
pathscomp0rid [definition, in UniMath.Foundations.PartA]
pathsdirprod [definition, in UniMath.Foundations.PartA]
pathsdirprodweq [definition, in UniMath.MoreFoundations.WeakEquivalences]
pathseqrel [definition, in UniMath.Foundations.Sets]
pathsfuntransposofnet1t2 [lemma, in UniMath.Foundations.PartC]
pathsfuntransposoft1 [lemma, in UniMath.Foundations.PartC]
pathsfuntransposoft2 [lemma, in UniMath.Foundations.PartC]
pathshrel [definition, in UniMath.Foundations.Sets]
pathsinvcuntonweqoft [lemma, in UniMath.Foundations.PartD]
pathsinv0 [definition, in UniMath.Foundations.PartA]
pathsinv0inv0 [definition, in UniMath.Foundations.PartA]
pathsinv0l [definition, in UniMath.Foundations.PartA]
pathsinv0r [definition, in UniMath.Foundations.PartA]
pathsitertoplus [lemma, in UniMath.Foundations.NaturalNumbers]
pathsrecomplfxtoy [lemma, in UniMath.Foundations.PartC]
pathssec1 [definition, in UniMath.Foundations.PartA]
pathssec2 [definition, in UniMath.Foundations.PartA]
pathssec2id [definition, in UniMath.Foundations.PartA]
pathssec3 [definition, in UniMath.Foundations.PartA]
pathsspace [definition, in UniMath.Foundations.PartA]
pathsspacetriple [definition, in UniMath.Foundations.PartA]
pathsspace' [definition, in UniMath.Foundations.PartA]
pathstonegr [definition, in UniMath.Foundations.Sets]
pathstor [definition, in UniMath.Foundations.Sets]
pathsweq1 [definition, in UniMath.Foundations.PartA]
pathsweq1' [definition, in UniMath.Foundations.PartA]
pathsweq3 [definition, in UniMath.Foundations.PartA]
pathsweq4 [definition, in UniMath.Foundations.PartA]
paths_refl [constructor, in UniMath.Foundations.Preamble]
path_to_ctr [lemma, in UniMath.Foundations.PartA]
path_assoc [definition, in UniMath.Foundations.PartA]
path_sigma_hprop [definition, in UniMath.MoreFoundations.PartA]
pcf [section, in UniMath.Partiality.PCF]
PCF [library]
pcf_propositions [section, in UniMath.Partiality.PCF]
_ ` _ (PCF) [notation, in UniMath.Partiality.PCF]
_ ⇨ _ (PCF) [notation, in UniMath.Partiality.PCF]
ι (PCF) [notation, in UniMath.Partiality.PCF]
picompact [definition, in UniMath.MoreFoundations.Wtypes]
picompact [section, in UniMath.MoreFoundations.Wtypes]
picompact_coprod [definition, in UniMath.MoreFoundations.Wtypes]
picompact_unit [definition, in UniMath.MoreFoundations.Wtypes]
picompact_empty [definition, in UniMath.MoreFoundations.Wtypes]
pi0 [definition, in UniMath.Foundations.Sets]
pi0 [definition, in UniMath.MoreFoundations.AxiomOfChoice]
pi0pr [definition, in UniMath.Foundations.Sets]
plusminusnmm [definition, in UniMath.Foundations.NaturalNumbers]
plus_n_Sm [lemma, in UniMath.Foundations.NaturalNumbers]
po [definition, in UniMath.Foundations.Sets]
PointedFunctors [library]
PointedFunctorsComposition [library]
PointedOneTypes [library]
PointedOneTypesBicat [library]
pointwisefamily [definition, in UniMath.Algebra.DCPO]
pointwisefamily_isdirected [lemma, in UniMath.Algebra.DCPO]
pointwiselub [definition, in UniMath.Algebra.DCPO]
pointwiselub_islub [lemma, in UniMath.Algebra.DCPO]
pointwiselub_isdcpomorphism' [lemma, in UniMath.Algebra.DCPO]
pointwiselub_preservesorder [lemma, in UniMath.Algebra.DCPO]
pointwiselub_islubpointwise [lemma, in UniMath.Algebra.DCPO]
pointwiseorder [definition, in UniMath.Algebra.DCPO]
PolynomialFunctors [library]
popair [definition, in UniMath.Foundations.Sets]
Poset [definition, in UniMath.Foundations.Sets]
PosetEquivalence [definition, in UniMath.Foundations.Sets]
posetmorphism [definition, in UniMath.Foundations.Sets]
posetmorphismpair [definition, in UniMath.Foundations.Sets]
posetofdcpomorphisms [definition, in UniMath.Algebra.DCPO]
posetofdcpomorphisms_isdirectedcomplete [lemma, in UniMath.Algebra.DCPO]
Posetpair [definition, in UniMath.Foundations.Sets]
posetRelation [definition, in UniMath.Foundations.Sets]
posetUnderlyingEquivalence [definition, in UniMath.Foundations.Sets]
PreAdditive [library]
Preamble [library]
prebicategory [library]
Precategories [library]
PrecategoriesWithAbgrops [library]
PrecategoryBinProduct [library]
precomp_ess_surj [library]
precomp_fully_faithful [library]
pred [constructor, in UniMath.Partiality.PCF]
predargstep [constructor, in UniMath.Partiality.PCF]
predsuccstep [constructor, in UniMath.Partiality.PCF]
predzerostep [constructor, in UniMath.Partiality.PCF]
pred_refltrans_smallstep [lemma, in UniMath.Partiality.PCF]
Prelim [library]
Prelim [library]
Prelude [library]
PreorderedSet [definition, in UniMath.Foundations.Sets]
PreorderedSetPair [definition, in UniMath.Foundations.Sets]
PreorderedSetRelation [definition, in UniMath.Foundations.Sets]
preorder_categories [library]
preservesdirectedlub_isdcpomorphism [lemma, in UniMath.Algebra.DCPO]
preserveslub [definition, in UniMath.Algebra.DCPO]
Presheaf [library]
Prod [library]
prodtofunfromcoprod [definition, in UniMath.Foundations.PartD]
prodtofuntoprod [definition, in UniMath.Foundations.PartD]
prodtosecovercoprod [definition, in UniMath.Foundations.PartD]
ProductCategory [library]
products [library]
Projection [library]
proofirrelevance [lemma, in UniMath.Foundations.PartB]
proofirrelevancecontr [lemma, in UniMath.Foundations.PartA]
proofirrelevance_hProp [definition, in UniMath.MoreFoundations.Propositions]
proof_by_contradiction [lemma, in UniMath.MoreFoundations.Propositions]
propext [definition, in UniMath.MoreFoundations.PropExt]
PropExt [library]
propositionalUnivalenceAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
propositionalUnivalenceFromUnivalence [definition, in UniMath.Foundations.UnivalenceAxiom]
propositionalUnivalenceStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
propositionalUnivalenceUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
Propositions [library]
Propositions [library]
propproperty [definition, in UniMath.Foundations.Propositions]
prtoimage [definition, in UniMath.Foundations.Propositions]
pr1 [projection, in UniMath.Foundations.Preamble]
pr1carrier [definition, in UniMath.Foundations.Sets]
pr1compfun [definition, in UniMath.Foundations.Sets]
pr1compl [definition, in UniMath.Foundations.PartC]
pr1compl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
pr1decrel [definition, in UniMath.Foundations.Sets]
pr1eqrel [definition, in UniMath.Foundations.Sets]
pr1hSet [definition, in UniMath.Foundations.Sets]
pr1image [definition, in UniMath.Foundations.Propositions]
pr1incl [definition, in UniMath.Foundations.PartB]
pr1isolated [definition, in UniMath.Foundations.PartB]
pr1isolated_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
pr1setquot [definition, in UniMath.Foundations.Sets]
pr1weq [definition, in UniMath.Foundations.PartA]
pr1_invweq [lemma, in UniMath.Foundations.PartA]
pr1_transportf [lemma, in UniMath.MoreFoundations.PartA]
pr1_issurjective [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
pr2 [projection, in UniMath.Foundations.Preamble]
pr2_transportf [lemma, in UniMath.MoreFoundations.PartA]
PseudoElements [library]
PseudoFunctor [library]
PseudoFunctorBicat [library]
PseudoTransformation [library]
pullbacks [library]
pullbacks [library]
pullbacks_slice_products_equiv [library]
pushouts [library]
pushouts [library]
Q
quotdecrelint [definition, in UniMath.Foundations.Sets]quotdecrelintlogeq [definition, in UniMath.Foundations.Sets]
Quotient [library]
QuotientSet [library]
Quotobjects [library]
quotrel [definition, in UniMath.Foundations.Sets]
quotrelimpl [lemma, in UniMath.Foundations.Sets]
quotrellogeq [lemma, in UniMath.Foundations.Sets]
R
RationalNumbers [library]RawMatrix [library]
rdistrtocoprod [definition, in UniMath.Foundations.PartA]
rdistrtoprod [definition, in UniMath.Foundations.PartA]
Reals [library]
recompl [definition, in UniMath.Foundations.PartC]
recomplf [definition, in UniMath.Foundations.PartC]
recompl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
reflect_to_refltrans [lemma, in UniMath.Partiality.PCF]
R* (refltransclos) [notation, in UniMath.MoreFoundations.ClosureOfHrel]
R' (refltransclos) [notation, in UniMath.MoreFoundations.ClosureOfHrel]
reflexive_transitive_closure_hrel [section, in UniMath.MoreFoundations.ClosureOfHrel]
reflstep' [constructor, in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_left_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_step_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_step [definition, in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_left_trans [definition, in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_left [inductive, in UniMath.MoreFoundations.ClosureOfHrel]
refltrans_step_smallstep [definition, in UniMath.Partiality.PCF]
refltrans_smallstep [definition, in UniMath.Partiality.PCF]
refl_trans_clos_hrel_univprop [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_istrans [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_isrefl [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_extends [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_ishrel [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_univprop [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_trans [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_refl [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_extends [lemma, in UniMath.MoreFoundations.ClosureOfHrel]
refl_step [constructor, in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos [inductive, in UniMath.MoreFoundations.ClosureOfHrel]
RelativeModules [library]
RelativeMonads [library]
RelMonads_Coreflection [library]
remakeweq [lemma, in UniMath.Foundations.PartA]
remakeweqboth [lemma, in UniMath.Foundations.PartA]
remakeweqboth_eq' [lemma, in UniMath.Foundations.PartA]
remakeweqboth_eq [lemma, in UniMath.Foundations.PartA]
remakeweqinv [lemma, in UniMath.Foundations.PartA]
remakeweqinv_eq' [lemma, in UniMath.Foundations.PartA]
remakeweqinv_eq [lemma, in UniMath.Foundations.PartA]
remakeweq_eq' [lemma, in UniMath.Foundations.PartA]
remakeweq_eq [lemma, in UniMath.Foundations.PartA]
Representation [library]
reseqrel [definition, in UniMath.Foundations.Sets]
resrel [definition, in UniMath.Foundations.Sets]
Restriction [library]
retract_dec [lemma, in UniMath.MoreFoundations.DecidablePropositions]
reversal_LEM [lemma, in UniMath.MoreFoundations.DecidablePropositions]
rezk_completion [library]
RightKanExtension [library]
rigs [library]
RigsAndRings [library]
rings [library]
rtoneq [lemma, in UniMath.Foundations.Sets]
rtopaths [definition, in UniMath.Foundations.Sets]
S
S [constructor, in UniMath.Foundations.Preamble]samehfibers [lemma, in UniMath.Foundations.PartB]
same_fiber_eqrel [definition, in UniMath.MoreFoundations.Sets]
secovercoprodtoprod [definition, in UniMath.Foundations.PartD]
sectohfiber [definition, in UniMath.Foundations.UnivalenceAxiom]
sectohfibertosec [definition, in UniMath.Foundations.UnivalenceAxiom]
Setcategories [library]
setcoprod [definition, in UniMath.MoreFoundations.Sets]
setcoprod [definition, in UniMath.Foundations.Sets]
SetCovering [lemma, in UniMath.MoreFoundations.AxiomOfChoice]
setdirprod [definition, in UniMath.Foundations.Sets]
setproperty [definition, in UniMath.Foundations.Sets]
setquot [definition, in UniMath.Foundations.Sets]
setquotbooleq [definition, in UniMath.Foundations.Sets]
setquotbooleqint [definition, in UniMath.Foundations.Sets]
setquotbooleqintcomp [lemma, in UniMath.Foundations.Sets]
setquotbooleqtopaths [lemma, in UniMath.Foundations.Sets]
setquotfun [definition, in UniMath.Foundations.Sets]
setquotfuncomm [definition, in UniMath.Foundations.Sets]
setquotfun2 [definition, in UniMath.Foundations.Sets]
setquotfun2comm [lemma, in UniMath.Foundations.Sets]
setquotfun2_iscomprelfun2 [lemma, in UniMath.Foundations.Sets]
setquotincl [definition, in UniMath.Foundations.Sets]
setquotinset [definition, in UniMath.Foundations.Sets]
setquotl0 [lemma, in UniMath.Foundations.Sets]
setquotpair [definition, in UniMath.Foundations.Sets]
setquotpathstobooleq [lemma, in UniMath.Foundations.Sets]
setquotpr [lemma, in UniMath.Foundations.Sets]
setquottodirprod [definition, in UniMath.Foundations.Sets]
setquottosetquot2 [definition, in UniMath.Foundations.Sets]
setquotuniv [lemma, in UniMath.Foundations.Sets]
setquotunivcomm [lemma, in UniMath.Foundations.Sets]
setquotunivprop [lemma, in UniMath.Foundations.Sets]
setquotunivprop' [lemma, in UniMath.MoreFoundations.Sets]
setquotuniv2 [definition, in UniMath.Foundations.Sets]
setquotuniv2comm [lemma, in UniMath.Foundations.Sets]
setquotuniv2prop [lemma, in UniMath.Foundations.Sets]
setquotuniv2prop' [lemma, in UniMath.MoreFoundations.Sets]
setquotuniv2_iscomprelfun [lemma, in UniMath.Foundations.Sets]
setquotuniv3prop [lemma, in UniMath.Foundations.Sets]
setquotuniv3prop' [lemma, in UniMath.MoreFoundations.Sets]
setquotuniv4prop [lemma, in UniMath.Foundations.Sets]
setquotuniv4prop' [lemma, in UniMath.MoreFoundations.Sets]
setquot2 [definition, in UniMath.Foundations.Sets]
setquot2inset [definition, in UniMath.Foundations.Sets]
setquot2pr [definition, in UniMath.Foundations.Sets]
setquot2univ [definition, in UniMath.Foundations.Sets]
setquot2univcomm [lemma, in UniMath.Foundations.Sets]
Sets [library]
Sets [library]
Sets [library]
SetValuedFunctors [library]
setwith2binops [library]
set_bijection_to_weq [lemma, in UniMath.Foundations.PartB]
ShortExactSequences [library]
si [definition, in UniMath.Foundations.NaturalNumbers]
Sigma [library]
SignatureCategory [library]
SignatureExamples [library]
Signatures [library]
SimplicialSets [library]
SIP [library]
Slice [library]
slicecat [library]
SliceFamEquiv [library]
smallstep [definition, in UniMath.Partiality.PCF]
smallstep' [inductive, in UniMath.Partiality.PCF]
soundness [lemma, in UniMath.Partiality.PCF]
soundness [section, in UniMath.Partiality.PCF]
squash_to_hSet_2' [definition, in UniMath.MoreFoundations.Sets]
squash_to_hSet_2 [definition, in UniMath.MoreFoundations.Sets]
squash_to_hSet [definition, in UniMath.MoreFoundations.Sets]
squash_rec [lemma, in UniMath.MoreFoundations.Propositions]
squash_to_hProp [lemma, in UniMath.MoreFoundations.Propositions]
squash_to_prop [lemma, in UniMath.Foundations.Propositions]
squash_to_set [definition, in UniMath.Foundations.Sets]
squash_pairs_to_set [definition, in UniMath.Foundations.Sets]
StandardCategories [library]
StandardFiniteSets [library]
stepleftequiv [definition, in UniMath.MoreFoundations.ClosureOfHrel]
stepleftequiv_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft [definition, in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel [definition, in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel_helper' [definition, in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel_helper [definition, in UniMath.MoreFoundations.ClosureOfHrel]
step_reflexive_transitive_closure_hrel [section, in UniMath.MoreFoundations.ClosureOfHrel]
STLC [library]
Strengths [library]
Struc [definition, in UniMath.MoreFoundations.StructureIdentity]
StrucEquiv [definition, in UniMath.MoreFoundations.StructureIdentity]
StructureIdentity [section, in UniMath.MoreFoundations.StructureIdentity]
StructureIdentity [library]
_ ≅ _ [notation, in UniMath.MoreFoundations.StructureIdentity]
Structures [library]
Struc_univalence [lemma, in UniMath.MoreFoundations.StructureIdentity]
sub [definition, in UniMath.Foundations.Preamble]
Submodule [library]
SubobjectClassifier [library]
Subobjects [library]
Subposet [definition, in UniMath.MoreFoundations.Subposets]
Subposets [library]
Subposet_to_Subposet' [definition, in UniMath.MoreFoundations.Subposets]
Subposet' [definition, in UniMath.MoreFoundations.Subposets]
Subposet'_equiv_Subposet [definition, in UniMath.MoreFoundations.Subposets]
Subposet'_to_Subposet [definition, in UniMath.MoreFoundations.Subposets]
Subposet'_to_Poset [definition, in UniMath.MoreFoundations.Subposets]
subset [definition, in UniMath.MoreFoundations.Sets]
subsetsplit [definition, in UniMath.Foundations.PartB]
subsetsplitinv [definition, in UniMath.Foundations.PartB]
SubstitutionSystems [library]
SubstitutionSystems_Summary [library]
subtrees [definition, in UniMath.MoreFoundations.Wtypes]
subtrees_eq [definition, in UniMath.MoreFoundations.Wtypes]
subtrees_type [definition, in UniMath.MoreFoundations.Wtypes]
subtypeEquality [lemma, in UniMath.Foundations.PartB]
subtypeEquality_prop [lemma, in UniMath.Foundations.Propositions]
subtypeEquality' [lemma, in UniMath.Foundations.PartB]
subtypeInjectivity [lemma, in UniMath.Foundations.PartB]
subtypeInjectivity_prop [lemma, in UniMath.Foundations.Propositions]
subtypePairEquality [definition, in UniMath.Foundations.PartB]
subtypePairEquality' [definition, in UniMath.Foundations.PartB]
Subtypes [library]
subtypesdirprod [definition, in UniMath.Foundations.Sets]
subtype_plus_in [definition, in UniMath.MoreFoundations.Subtypes]
subtype_plus_has_point [definition, in UniMath.MoreFoundations.Subtypes]
subtype_plus_incl [definition, in UniMath.MoreFoundations.Subtypes]
subtype_plus [definition, in UniMath.MoreFoundations.Subtypes]
subtype_deceq [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_inc_comp [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_containment_isPartialOrder [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_intersection [definition, in UniMath.MoreFoundations.Subtypes]
subtype_union_containedIn [definition, in UniMath.MoreFoundations.Subtypes]
subtype_union [definition, in UniMath.MoreFoundations.Subtypes]
subtype_equal_cond [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_difference_containedIn [definition, in UniMath.MoreFoundations.Subtypes]
subtype_difference [definition, in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_from_negEqual [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_to_negEqual [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_containedIn [lemma, in UniMath.MoreFoundations.Subtypes]
subtype_notEqual [definition, in UniMath.MoreFoundations.Subtypes]
subtype_equal [definition, in UniMath.MoreFoundations.Subtypes]
subtype_smallerThan [definition, in UniMath.MoreFoundations.Subtypes]
subtype_inc [definition, in UniMath.MoreFoundations.Subtypes]
subtype_notContainedIn [definition, in UniMath.MoreFoundations.Subtypes]
subtype_containedIn [definition, in UniMath.MoreFoundations.Subtypes]
subtype_isIn [definition, in UniMath.MoreFoundations.Subtypes]
subtype_set [definition, in UniMath.MoreFoundations.Subtypes]
succ [constructor, in UniMath.Partiality.PCF]
succ [definition, in UniMath.Foundations.Preamble]
succargstep [constructor, in UniMath.Partiality.PCF]
succ_refltrans_smallstep [lemma, in UniMath.Partiality.PCF]
sumofmaps [definition, in UniMath.Foundations.PartA]
sumofmaps_assoc_right [definition, in UniMath.Foundations.PartA]
sumofmaps_assoc_left [definition, in UniMath.Foundations.PartA]
sumofmaps_homot [definition, in UniMath.MoreFoundations.PartA]
sumofmaps_funcomp [definition, in UniMath.MoreFoundations.PartA]
SumOfSignatures [library]
surjectionisepitosets [lemma, in UniMath.Foundations.Sets]
surjective_iscontr_im [lemma, in UniMath.Foundations.Sets]
s_dcpo [definition, in UniMath.Partiality.PCF]
T
Tactics [library]Tactics [library]
term [inductive, in UniMath.Partiality.PCF]
termfun [definition, in UniMath.Foundations.PartA]
terminal [library]
terminal [library]
Test [library]
Tests [library]
Tests [library]
Tests [library]
Tests [library]
Tests [library]
Test_sets [module, in UniMath.Foundations.Tests]
Test_weqtotal2overcoprod.P [variable, in UniMath.Foundations.Tests]
Test_weqtotal2overcoprod [module, in UniMath.Foundations.Tests]
Test_isweq_iso.v [definition, in UniMath.Foundations.Tests]
Test_isweq_iso.w [definition, in UniMath.Foundations.Tests]
Test_isweq_iso.f [variable, in UniMath.Foundations.Tests]
Test_isweq_iso [module, in UniMath.Foundations.Tests]
tildehProp [definition, in UniMath.Foundations.Propositions]
tildehProppair [definition, in UniMath.Foundations.Propositions]
tococonusf [definition, in UniMath.Foundations.PartA]
tocompltodisjoint [definition, in UniMath.Foundations.PartC]
tocompltoii1x [definition, in UniMath.Foundations.PartC]
tocompltoii2y [definition, in UniMath.Foundations.PartC]
todneg [definition, in UniMath.Foundations.PartA]
toforallpaths [definition, in UniMath.Foundations.PartA]
toforallpaths_funextsec [lemma, in UniMath.MoreFoundations.Univalence]
toforallpaths_induction [lemma, in UniMath.Foundations.UnivalenceAxiom]
tonegcoprod [lemma, in UniMath.Foundations.Propositions]
tonegdirprod [lemma, in UniMath.Foundations.Propositions]
toneghdisj [lemma, in UniMath.Foundations.Propositions]
Topology [library]
tosecovertotal2 [definition, in UniMath.Foundations.PartD]
tosecoverunit [definition, in UniMath.Foundations.PartD]
tosubquot [definition, in UniMath.Foundations.Sets]
tosubtypesdirprodcarrier [definition, in UniMath.Foundations.Sets]
totalfun [definition, in UniMath.Foundations.PartA]
totalsubtype [definition, in UniMath.Foundations.Sets]
totaltoforall [definition, in UniMath.Foundations.PartD]
total2 [record, in UniMath.Foundations.Preamble]
total2asstol [lemma, in UniMath.Foundations.PartA]
total2asstor [lemma, in UniMath.Foundations.PartA]
total2tohexists [definition, in UniMath.Foundations.Propositions]
total2_hProp [definition, in UniMath.MoreFoundations.Notations]
total2_paths_equiv [lemma, in UniMath.Foundations.PartA]
total2_section_path [lemma, in UniMath.Foundations.PartA]
total2_base_map [definition, in UniMath.Foundations.PartA]
total2_fiber_paths [lemma, in UniMath.Foundations.PartA]
total2_paths2_b [lemma, in UniMath.Foundations.PartA]
total2_paths2_f [lemma, in UniMath.Foundations.PartA]
total2_paths2 [lemma, in UniMath.Foundations.PartA]
total2_paths_b [lemma, in UniMath.Foundations.PartA]
total2_paths_f [lemma, in UniMath.Foundations.PartA]
total2_paths_hProp_equiv [lemma, in UniMath.Foundations.Propositions]
total2_hSet [definition, in UniMath.Foundations.Sets]
total2_paths_equiv'_compute [lemma, in UniMath.MoreFoundations.AlternativeProofs]
total2_paths_equiv' [lemma, in UniMath.MoreFoundations.AlternativeProofs]
total2_paths [library]
tototal2overcoprod [definition, in UniMath.Foundations.PartA]
tototal2overunit [definition, in UniMath.Foundations.PartA]
tounit [definition, in UniMath.Foundations.PartA]
to_ComplementaryPair [definition, in UniMath.MoreFoundations.DecidablePropositions]
tpair [constructor, in UniMath.Foundations.Preamble]
transitive_paths_weq [definition, in UniMath.MoreFoundations.WeakEquivalences]
TranslationFunctors [library]
transportb [definition, in UniMath.Foundations.PartA]
transportbfinv [definition, in UniMath.Foundations.PartA]
transportb_dirprod [definition, in UniMath.Foundations.PartA]
transportb_const [definition, in UniMath.Foundations.PartA]
transportb_fun' [lemma, in UniMath.Foundations.PartA]
transportD [definition, in UniMath.Foundations.PartA]
transportf [definition, in UniMath.Foundations.PartA]
transportfbinv [definition, in UniMath.Foundations.PartA]
transportf_id3 [definition, in UniMath.Foundations.PartA]
transportf_id2 [definition, in UniMath.Foundations.PartA]
transportf_id1 [definition, in UniMath.Foundations.PartA]
transportf_dirprod [definition, in UniMath.Foundations.PartA]
transportf_total2 [definition, in UniMath.Foundations.PartA]
transportf_fiber_total2_paths [lemma, in UniMath.Foundations.PartA]
transportf_paths [lemma, in UniMath.Foundations.PartA]
transportf_const [definition, in UniMath.Foundations.PartA]
transportf_fun [definition, in UniMath.Foundations.PartA]
transportf_eq [definition, in UniMath.Foundations.PartA]
transportf_pair [lemma, in UniMath.MoreFoundations.PartA]
transportf_set [lemma, in UniMath.MoreFoundations.PartA]
transportf_comp_lemma_hset [lemma, in UniMath.MoreFoundations.PartA]
transportf_comp_lemma [lemma, in UniMath.MoreFoundations.PartA]
transportf_pathsinv0 [definition, in UniMath.MoreFoundations.PartA]
transportf_transpose [lemma, in UniMath.MoreFoundations.PartA]
transportf_funextfun [definition, in UniMath.Foundations.UnivalenceAxiom]
TransportLaws [library]
TransportMorphisms [library]
transport_section [definition, in UniMath.Foundations.PartA]
transport_map [definition, in UniMath.Foundations.PartA]
transport_b_b [definition, in UniMath.Foundations.PartA]
transport_f_f [definition, in UniMath.Foundations.PartA]
transport_b_f [definition, in UniMath.Foundations.PartA]
transport_f_b [definition, in UniMath.Foundations.PartA]
transposcommsqstr [definition, in UniMath.Foundations.PartA]
transposhfpsqstr [lemma, in UniMath.Foundations.PartA]
trans_step [constructor, in UniMath.MoreFoundations.ClosureOfHrel]
Trees [library]
Triangulated [library]
Trivial [library]
true [constructor, in UniMath.Foundations.Preamble]
truetonegfalse [definition, in UniMath.Foundations.PartA]
trueWitness [definition, in UniMath.MoreFoundations.DecidablePropositions]
tt [constructor, in UniMath.Foundations.Preamble]
twooutofsixu [lemma, in UniMath.Foundations.PartA]
twooutofsixv [lemma, in UniMath.Foundations.PartA]
twooutofsixw [lemma, in UniMath.Foundations.PartA]
twooutof3a [lemma, in UniMath.Foundations.PartA]
twooutof3b [lemma, in UniMath.Foundations.PartA]
twooutof3c [lemma, in UniMath.Foundations.PartA]
twooutof3c_iff_2_homot [lemma, in UniMath.Foundations.PartA]
twooutof3c_iff_1_homot [lemma, in UniMath.Foundations.PartA]
twooutof3c_iff_1 [lemma, in UniMath.Foundations.PartA]
twooutof3c_iff_2 [lemma, in UniMath.Foundations.PartA]
TwoType [library]
two_arg_paths_b [lemma, in UniMath.Foundations.PartA]
two_arg_paths_f [lemma, in UniMath.Foundations.PartA]
two_arg_paths [lemma, in UniMath.Foundations.PartA]
type [inductive, in UniMath.Partiality.PCF]
Types [library]
U
UA_for_HLevels [lemma, in UniMath.Foundations.HLevels]UA_for_Predicates [lemma, in UniMath.Foundations.HLevels]
uip [lemma, in UniMath.Foundations.PartB]
uncurry [definition, in UniMath.Foundations.PartA]
uncurry_curry [lemma, in UniMath.Foundations.PartA]
UnderCategories [library]
UnicodeNotations [library]
UniqueConstruction [definition, in UniMath.Foundations.PartA]
UniqueConstruction_to_weq [lemma, in UniMath.Foundations.PartA]
Uniqueness [library]
Uniqueness [library]
unique_exists [lemma, in UniMath.Foundations.PartB]
unit [inductive, in UniMath.Foundations.Preamble]
unitl0 [lemma, in UniMath.Foundations.PartA]
unitl1 [lemma, in UniMath.Foundations.PartA]
unitl2 [lemma, in UniMath.Foundations.PartA]
unitl3 [lemma, in UniMath.Foundations.PartA]
Unitors [library]
unitset [definition, in UniMath.Foundations.Sets]
univalence [definition, in UniMath.Foundations.UnivalenceAxiom]
Univalence [library]
Univalence [library]
Univalence [library]
Univalence [library]
univalenceAxiom [axiom, in UniMath.Foundations.UnivalenceAxiom]
UnivalenceAxiom [library]
UnivalenceAxiom2 [library]
UnivalenceImplications [section, in UniMath.Foundations.UnivalenceAxiom]
UnivalenceImplications.univalenceAxiom [variable, in UniMath.Foundations.UnivalenceAxiom]
univalenceStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
univalenceUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
univfromtwoaxioms [lemma, in UniMath.Foundations.UnivalenceAxiom]
univfromtwoaxiomshProp [lemma, in UniMath.Foundations.Propositions]
univ_surj_unique [lemma, in UniMath.Foundations.Sets]
univ_surj_ax [lemma, in UniMath.Foundations.Sets]
univ_surj [definition, in UniMath.Foundations.Sets]
Utilities [library]
Utilities [library]
UU [definition, in UniMath.Foundations.Preamble]
UU_rect [lemma, in UniMath.Foundations.UnivalenceAxiom]
V
value [definition, in UniMath.Partiality.PartialElements]W
wconst_endomap_prop_path_prop [definition, in UniMath.MoreFoundations.WeaklyConstant]WeakEquivalences [library]
weaklyconstant [definition, in UniMath.MoreFoundations.WeaklyConstant]
WeaklyConstant [library]
weaklyconstanttoaset_factorsthroughsquash_eq [definition, in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstanttoaset_factorsthroughsquash [definition, in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstanttoaset_haspropimage [lemma, in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstant_propext [definition, in UniMath.MoreFoundations.PropExt]
weaklyconstant_endomap [definition, in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstant_value [definition, in UniMath.Partiality.PartialElements]
weak_fromnegdirprod [lemma, in UniMath.Foundations.Propositions]
WellFoundedRelations [library]
WellOrderedSets [library]
weq [definition, in UniMath.Foundations.PartA]
weqbandf [definition, in UniMath.Foundations.PartA]
weqbfun [definition, in UniMath.Foundations.PartD]
weqboolsumtocoprod [definition, in UniMath.Foundations.PartA]
weqbweq [lemma, in UniMath.Foundations.PartD]
weqccontrhfiber [definition, in UniMath.Foundations.PartA]
weqccontrhfiber2 [definition, in UniMath.Foundations.PartA]
weqcomp [definition, in UniMath.Foundations.PartA]
weqcompassoc [definition, in UniMath.Foundations.PartD]
weqcompidl [definition, in UniMath.Foundations.PartD]
weqcompidr [definition, in UniMath.Foundations.PartD]
weqcompinjl [definition, in UniMath.Foundations.PartD]
weqcompinjr [definition, in UniMath.Foundations.PartD]
weqcompinvl [definition, in UniMath.Foundations.PartD]
weqcompinvr [definition, in UniMath.Foundations.PartD]
weqcompweql [definition, in UniMath.Foundations.PartD]
weqcompweqr [definition, in UniMath.Foundations.PartD]
weqcomp_assoc [definition, in UniMath.Foundations.PartD]
weqcomp_to_funcomp [definition, in UniMath.Foundations.PartA]
weqcomp_to_funcomp_app [definition, in UniMath.Foundations.PartA]
weqcontrcontr [definition, in UniMath.Foundations.PartA]
weqcontrtounit [definition, in UniMath.Foundations.PartA]
weqcoprodasstol [definition, in UniMath.Foundations.PartA]
weqcoprodasstor [definition, in UniMath.Foundations.PartA]
weqcoprodcomm [definition, in UniMath.Foundations.PartA]
weqcoprodf [definition, in UniMath.Foundations.PartA]
weqcoprodf1 [definition, in UniMath.Foundations.PartA]
weqcoprodf2 [definition, in UniMath.Foundations.PartA]
weqcoprodsplit [definition, in UniMath.Foundations.PartA]
weqcoprodtoboolsum [definition, in UniMath.Foundations.PartA]
weqcoproj [definition, in UniMath.Foundations.PartC]
weqcutonweq [definition, in UniMath.Foundations.PartD]
weqdicompl [lemma, in UniMath.MoreFoundations.NegativePropositions]
weqdirprodasstol [definition, in UniMath.Foundations.PartA]
weqdirprodasstor [definition, in UniMath.Foundations.PartA]
weqdirprodcomm [definition, in UniMath.Foundations.PartA]
weqdirprodf [definition, in UniMath.Foundations.PartA]
weqempty [definition, in UniMath.Foundations.PartA]
weqeqh [definition, in UniMath.Foundations.Sets]
weqeqweqhProp [definition, in UniMath.Foundations.Propositions]
weqffun [definition, in UniMath.Foundations.PartD]
weqfibtototal [definition, in UniMath.Foundations.PartA]
weqforallnegtonegexists [definition, in UniMath.Foundations.Propositions]
weqforalltohfiber [definition, in UniMath.Foundations.PartD]
weqforalltototal [definition, in UniMath.Foundations.PartD]
weqfp [definition, in UniMath.Foundations.PartA]
weqfp_compute_2 [definition, in UniMath.Foundations.PartA]
weqfp_compute_1 [definition, in UniMath.Foundations.PartA]
weqfp_invmap [definition, in UniMath.Foundations.PartA]
weqfp_map [definition, in UniMath.Foundations.PartA]
weqfromcoconusf [definition, in UniMath.Foundations.PartA]
weqfunextsec [definition, in UniMath.Foundations.UnivalenceAxiom]
weqfunfromcontr [definition, in UniMath.Foundations.PartD]
weqfunfromcoprodtoprod [lemma, in UniMath.Foundations.PartD]
weqfunfromdirprod [definition, in UniMath.Foundations.PartD]
weqfunfromtotal2 [definition, in UniMath.Foundations.PartD]
weqfunfromunit [definition, in UniMath.Foundations.PartD]
weqfuntoprodtoprod [lemma, in UniMath.Foundations.PartD]
weqfuntototaltototal [definition, in UniMath.Foundations.PartD]
weqfweq [lemma, in UniMath.Foundations.PartD]
weqhfibercoprodf1 [lemma, in UniMath.Foundations.PartC]
weqhfibercoprodf2 [lemma, in UniMath.Foundations.PartC]
weqhfibernoi1 [lemma, in UniMath.Foundations.PartC]
weqhfibernoi2 [lemma, in UniMath.Foundations.PartC]
weqhfibersgtof' [definition, in UniMath.Foundations.PartA]
weqhfibersgwtog [lemma, in UniMath.Foundations.PartA]
weqhfibersg'tof [definition, in UniMath.Foundations.PartA]
weqhfibershomot [lemma, in UniMath.Foundations.PartA]
weqhfibersofsumofmaps [lemma, in UniMath.Foundations.PartC]
weqhfibertobhfiber [lemma, in UniMath.Foundations.PartC]
weqhfibertocontr [lemma, in UniMath.Foundations.PartB]
weqhfibertoforall [definition, in UniMath.Foundations.PartD]
weqhfibertohfp [lemma, in UniMath.Foundations.PartA]
weqhfibertounit [lemma, in UniMath.Foundations.PartB]
weqhfiberunit [definition, in UniMath.Foundations.PartB]
weqhfpcomm [lemma, in UniMath.Foundations.PartA]
weqhfptohfpoverX [definition, in UniMath.Foundations.PartA]
weqhfptohfpoverX' [definition, in UniMath.Foundations.PartA]
weqhomot [lemma, in UniMath.MoreFoundations.PartA]
weqiff [definition, in UniMath.Foundations.PartB]
weqii1withneg [definition, in UniMath.Foundations.PartA]
weqii2withneg [definition, in UniMath.Foundations.PartA]
weqimplimpl [definition, in UniMath.Foundations.PartB]
weqinvweq [lemma, in UniMath.Foundations.PartD]
weqishinhnegtoneg [lemma, in UniMath.Foundations.Propositions]
weqlogeq [definition, in UniMath.MoreFoundations.Propositions]
weqneghexistsnegtotal2 [definition, in UniMath.Foundations.Propositions]
weqnegtonegishinh [lemma, in UniMath.Foundations.Propositions]
weqneqh [definition, in UniMath.Foundations.Sets]
weqoncompl [definition, in UniMath.Foundations.PartC]
weqoncompl_ne_compute [definition, in UniMath.MoreFoundations.NegativePropositions]
weqoncompl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
weqoncompl_compute [definition, in UniMath.Foundations.PartC]
weqonpaths [definition, in UniMath.Foundations.PartA]
weqonpathsincl [definition, in UniMath.Foundations.PartB]
weqonsecbase [definition, in UniMath.Foundations.PartD]
weqonsecfibers [definition, in UniMath.Foundations.PartD]
weqpair [definition, in UniMath.Foundations.PartA]
weqpathsinsetquot [lemma, in UniMath.Foundations.Sets]
weqpathsinsetquot2 [lemma, in UniMath.Foundations.Sets]
weqpathsinv0 [definition, in UniMath.Foundations.PartA]
weqpathssetquot2l1 [lemma, in UniMath.Foundations.Sets]
weqpathsweq [definition, in UniMath.Foundations.UnivalenceAxiom]
weqpathsweqhProp [definition, in UniMath.Foundations.Propositions]
weqpathsweqhProp' [definition, in UniMath.Foundations.Propositions]
weqpathsweqStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
weqpathsweqUAH [definition, in UniMath.Foundations.UnivalenceAxiom]
weqproperty [definition, in UniMath.Foundations.PartA]
weqpr1 [definition, in UniMath.Foundations.PartB]
weqrdistrtocoprod [definition, in UniMath.Foundations.PartA]
weqrdistrtoprod [definition, in UniMath.Foundations.PartA]
weqrecompl [definition, in UniMath.Foundations.PartC]
weqrecomplf [definition, in UniMath.Foundations.PartC]
weqrecompl_ne [definition, in UniMath.MoreFoundations.NegativePropositions]
weqsecovercontr [definition, in UniMath.Foundations.PartD]
weqsecovercoprodtoprod [definition, in UniMath.Foundations.PartD]
weqsecovertotal2 [definition, in UniMath.Foundations.PartD]
weqsecoverunit [definition, in UniMath.Foundations.PartD]
weqsetquotsurj [definition, in UniMath.Foundations.Sets]
weqsetquottodirprod [lemma, in UniMath.Foundations.Sets]
weqsetquotweq [definition, in UniMath.Foundations.Sets]
weqsubquot [definition, in UniMath.Foundations.Sets]
weqsubsetsplit [lemma, in UniMath.Foundations.PartB]
weqsubtypesdirprod [lemma, in UniMath.Foundations.Sets]
weqtococonusf [definition, in UniMath.Foundations.PartA]
weqtocompltodisjoint [definition, in UniMath.Foundations.PartC]
weqtodirprodwithunit [definition, in UniMath.Foundations.PartA]
weqtoempty [definition, in UniMath.Foundations.PartA]
weqtoempty2 [definition, in UniMath.Foundations.PartA]
weqtoforallpaths [definition, in UniMath.Foundations.UnivalenceAxiom]
weqtoforallpathsStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
weqtoincl [definition, in UniMath.Foundations.PartB]
weqtopaths [definition, in UniMath.Foundations.UnivalenceAxiom]
weqtopathshProp [definition, in UniMath.Foundations.Propositions]
weqtopathsStatement [definition, in UniMath.Foundations.UnivalenceAxiom]
weqtopathsUAH [definition, in UniMath.Foundations.UnivalenceAxiom]
weqtotalsubtype [definition, in UniMath.Foundations.Sets]
weqtotaltofib [definition, in UniMath.Foundations.PartA]
weqtotaltoforall [definition, in UniMath.Foundations.PartD]
weqtotal2 [lemma, in UniMath.MoreFoundations.PartA]
weqtotal2asstol [definition, in UniMath.Foundations.PartA]
weqtotal2asstor [lemma, in UniMath.Foundations.PartA]
weqtotal2comm [definition, in UniMath.MoreFoundations.WeakEquivalences]
weqtotal2comm12 [definition, in UniMath.Foundations.PartA]
weqtotal2dirprodassoc [definition, in UniMath.Foundations.PartA]
weqtotal2dirprodassoc' [definition, in UniMath.Foundations.PartA]
weqtotal2dirprodcomm [definition, in UniMath.Foundations.PartA]
weqtotal2overcoprod [lemma, in UniMath.Foundations.PartA]
weqtotal2overcoprod' [definition, in UniMath.Foundations.PartA]
weqtotal2overunit [lemma, in UniMath.Foundations.PartA]
weqtransportbUAH [lemma, in UniMath.Foundations.UnivalenceAxiom]
weqtranspos [lemma, in UniMath.Foundations.PartC]
weqtranspos0 [definition, in UniMath.Foundations.PartC]
wequnittocontr [definition, in UniMath.Foundations.PartA]
weqweq [lemma, in UniMath.Foundations.PartD]
weqZtohfp [definition, in UniMath.Foundations.PartA]
weq_iso [definition, in UniMath.Foundations.PartA]
weq_transportb_adjointness [definition, in UniMath.Foundations.PartA]
weq_transportf_adjointness [definition, in UniMath.Foundations.PartA]
weq_subtypes [definition, in UniMath.Foundations.Sets]
weq_to_iff [definition, in UniMath.Foundations.PartB]
weq1 [lemma, in UniMath.Foundations.HLevels]
weq2 [lemma, in UniMath.Foundations.HLevels]
whiskering [library]
whiskering [library]
wittohexists [definition, in UniMath.Foundations.Propositions]
wma_decidable [lemma, in UniMath.MoreFoundations.DoubleNegation]
wma_dneg [lemma, in UniMath.MoreFoundations.DoubleNegation]
wosets [library]
Wtypes [library]
Y
yoneda [library]Z
zero [constructor, in UniMath.Partiality.PCF]zero [library]
zero [library]
ZFstructures [library]
z_mod_p [library]
other
_ --> _ (DCPO) [notation, in UniMath.Algebra.DCPO]_ ≠ _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ =? _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ > _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ≥ _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ≥ _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ≤ _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ <= _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ < _ (decidable_nat) [notation, in UniMath.MoreFoundations.DecidablePropositions]
¬ _ (decidable_logic) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ∧ _ (decidable_logic) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ∨ _ (decidable_logic) [notation, in UniMath.MoreFoundations.DecidablePropositions]
_ ∘ _ (functions) [notation, in UniMath.Foundations.PartA]
_ ⊑ _ (LiftDcpo) [notation, in UniMath.Partiality.PartialElements]
η (LiftDcpo) [notation, in UniMath.Partiality.PartialElements]
𝓛 (LiftDcpo) [notation, in UniMath.Partiality.PartialElements]
_ # (LiftMonadDcpo) [notation, in UniMath.Partiality.LiftMonad]
_ # (LiftMonad) [notation, in UniMath.Partiality.LiftMonad]
_ ⇔ _ (logic) [notation, in UniMath.MoreFoundations.Notations]
_ ⇒ _ (logic) [notation, in UniMath.MoreFoundations.Notations]
_ ⇒ _ (logic) [notation, in UniMath.Foundations.Propositions]
¬ _ (logic) [notation, in UniMath.Foundations.Propositions]
_ / _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ /+ _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ ≥ _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ >= _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ ≤ _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ <= _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ < _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ > _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ ≠ _ (nat_scope) [notation, in UniMath.Foundations.NaturalNumbers]
_ ≠ _ (nat_scope) [notation, in UniMath.MoreFoundations.NegativePropositions]
1000 (nat_scope) [notation, in UniMath.Foundations.Preamble]
100 (nat_scope) [notation, in UniMath.Foundations.Preamble]
24 (nat_scope) [notation, in UniMath.Foundations.Preamble]
23 (nat_scope) [notation, in UniMath.Foundations.Preamble]
22 (nat_scope) [notation, in UniMath.Foundations.Preamble]
21 (nat_scope) [notation, in UniMath.Foundations.Preamble]
20 (nat_scope) [notation, in UniMath.Foundations.Preamble]
19 (nat_scope) [notation, in UniMath.Foundations.Preamble]
18 (nat_scope) [notation, in UniMath.Foundations.Preamble]
17 (nat_scope) [notation, in UniMath.Foundations.Preamble]
16 (nat_scope) [notation, in UniMath.Foundations.Preamble]
15 (nat_scope) [notation, in UniMath.Foundations.Preamble]
14 (nat_scope) [notation, in UniMath.Foundations.Preamble]
13 (nat_scope) [notation, in UniMath.Foundations.Preamble]
12 (nat_scope) [notation, in UniMath.Foundations.Preamble]
11 (nat_scope) [notation, in UniMath.Foundations.Preamble]
10 (nat_scope) [notation, in UniMath.Foundations.Preamble]
9 (nat_scope) [notation, in UniMath.Foundations.Preamble]
8 (nat_scope) [notation, in UniMath.Foundations.Preamble]
7 (nat_scope) [notation, in UniMath.Foundations.Preamble]
6 (nat_scope) [notation, in UniMath.Foundations.Preamble]
5 (nat_scope) [notation, in UniMath.Foundations.Preamble]
4 (nat_scope) [notation, in UniMath.Foundations.Preamble]
3 (nat_scope) [notation, in UniMath.Foundations.Preamble]
2 (nat_scope) [notation, in UniMath.Foundations.Preamble]
1 (nat_scope) [notation, in UniMath.Foundations.Preamble]
0 (nat_scope) [notation, in UniMath.Foundations.Preamble]
_ * _ (nat_scope) [notation, in UniMath.Foundations.Preamble]
_ - _ (nat_scope) [notation, in UniMath.Foundations.Preamble]
_ + _ (nat_scope) [notation, in UniMath.Foundations.Preamble]
_ ⊑ _ (PartialElements) [notation, in UniMath.Partiality.PartialElements]
η (PartialElements) [notation, in UniMath.Partiality.PartialElements]
𝓛 (PartialElements) [notation, in UniMath.Partiality.PartialElements]
_ ▹* _ (PCF) [notation, in UniMath.Partiality.PCF]
_ ▹ _ (PCF) [notation, in UniMath.Partiality.PCF]
_ ` _ (PCF) [notation, in UniMath.Partiality.PCF]
_ ⇨ _ (PCF) [notation, in UniMath.Partiality.PCF]
ℕ (PCF) [notation, in UniMath.Partiality.PCF]
⟦ _ ⟧ (PCF) [notation, in UniMath.Partiality.PCF]
⦃ _ ⦄ (PCF) [notation, in UniMath.Partiality.PCF]
ι (PCF) [notation, in UniMath.Partiality.PCF]
_ < _ (poset) [notation, in UniMath.Foundations.Sets]
_ ≅ _ (poset) [notation, in UniMath.Foundations.Sets]
_ ≤ _ (poset) [notation, in UniMath.Foundations.Sets]
∑ _ .. _ , _ (prop) [notation, in UniMath.MoreFoundations.Notations]
_ × _ (set) [notation, in UniMath.Foundations.Sets]
_ != _ (set) [notation, in UniMath.Foundations.Sets]
_ = _ (set) [notation, in UniMath.Foundations.Sets]
∏ _ .. _ , _ (set) [notation, in UniMath.Foundations.Sets]
∑ _ .. _ , _ (set) [notation, in UniMath.Foundations.Sets]
∑ _ .. _ , _ (subset) [notation, in UniMath.Foundations.Sets]
_ - _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ≢ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ≡ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ⊊ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ⊈ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ⊆ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ∉ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ ∈ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
⋂ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
⋃ _ (subtype) [notation, in UniMath.MoreFoundations.Subtypes]
_ #' _ (transport) [notation, in UniMath.Foundations.PartA]
_ # _ (transport) [notation, in UniMath.Foundations.PartA]
_ ╝ _ (type_scope) [notation, in UniMath.Foundations.PartA]
_ ≃ _ (type_scope) [notation, in UniMath.Foundations.PartA]
∃! _ .. _ , _ (type_scope) [notation, in UniMath.Foundations.PartA]
_ <-> _ (type_scope) [notation, in UniMath.Foundations.PartA]
_ × _ (type_scope) [notation, in UniMath.Foundations.PartA]
∃! _ .. _ , _ (type_scope) [notation, in UniMath.MoreFoundations.Propositions]
∃ _ .. _ , _ (type_scope) [notation, in UniMath.Foundations.Propositions]
_ ∨ _ (type_scope) [notation, in UniMath.Foundations.Propositions]
_ ∧ _ (type_scope) [notation, in UniMath.Foundations.Propositions]
∥ _ ∥ (type_scope) [notation, in UniMath.Foundations.Propositions]
∀ _ .. _ , _ (type_scope) [notation, in UniMath.Foundations.Propositions]
_ → _ (type_scope) [notation, in UniMath.Foundations.Init]
_ <- _ (type_scope) [notation, in UniMath.Foundations.Init]
_ -> _ (type_scope) [notation, in UniMath.Foundations.Init]
∏ _ .. _ , _ (type_scope) [notation, in UniMath.Foundations.Init]
∑ _ .. _ , _ (type_scope) [notation, in UniMath.Foundations.Preamble]
_ = _ (type_scope) [notation, in UniMath.Foundations.Preamble]
_ ∘ _ (weq_scope) [notation, in UniMath.Foundations.PartA]
_ ~ _ [notation, in UniMath.Foundations.PartA]
_ @ _ [notation, in UniMath.Foundations.PartA]
_ != _ [notation, in UniMath.Foundations.PartA]
_ ,, _ [notation, in UniMath.Foundations.Preamble]
_ ⨿ _ [notation, in UniMath.Foundations.Preamble]
ct ( _ , _ , _ , _ ) [notation, in UniMath.Foundations.Sets]
pr11 _ [notation, in UniMath.MoreFoundations.Notations]
pr111 _ [notation, in UniMath.MoreFoundations.Notations]
pr112 _ [notation, in UniMath.MoreFoundations.Notations]
pr12 _ [notation, in UniMath.MoreFoundations.Notations]
pr121 _ [notation, in UniMath.MoreFoundations.Notations]
pr122 _ [notation, in UniMath.MoreFoundations.Notations]
pr21 _ [notation, in UniMath.MoreFoundations.Notations]
pr211 _ [notation, in UniMath.MoreFoundations.Notations]
pr212 _ [notation, in UniMath.MoreFoundations.Notations]
pr22 _ [notation, in UniMath.MoreFoundations.Notations]
pr221 _ [notation, in UniMath.MoreFoundations.Notations]
pr222 _ [notation, in UniMath.MoreFoundations.Notations]
! _ [notation, in UniMath.Foundations.PartA]
∅ [notation, in UniMath.Foundations.Preamble]
¬ _ [notation, in UniMath.Foundations.PartA]
¬¬ _ [notation, in UniMath.Foundations.PartA]
λ _ .. _ , _ [notation, in UniMath.Foundations.Init]
𝓀 [constructor, in UniMath.Partiality.PCF]
𝓀step [constructor, in UniMath.Partiality.PCF]
𝓈 [constructor, in UniMath.Partiality.PCF]
𝓈step [constructor, in UniMath.Partiality.PCF]
Notation Index
D
ℕ (PCF) [in UniMath.Partiality.PCF]⟦ _ ⟧ (PCF) [in UniMath.Partiality.PCF]
⦃ _ ⦄ (PCF) [in UniMath.Partiality.PCF]
L
μ (DCPO) [in UniMath.Algebra.DCPO]_ ⊑ _ (LiftIsPoset) [in UniMath.Partiality.PartialElements]
𝓛 (LiftIsPoset) [in UniMath.Partiality.PartialElements]
_ # (LiftMonad) [in UniMath.Partiality.LiftMonad]
_ ⊑ _ (PartialElements) [in UniMath.Partiality.PartialElements]
⊥ (PartialElements) [in UniMath.Partiality.PartialElements]
η (PartialElements) [in UniMath.Partiality.PartialElements]
𝓛 (PartialElements) [in UniMath.Partiality.PartialElements]
O
_ ▹* _ (PCF) [in UniMath.Partiality.PCF]_ ▹ _ (PCF) [in UniMath.Partiality.PCF]
P
_ ` _ (PCF) [in UniMath.Partiality.PCF]_ ⇨ _ (PCF) [in UniMath.Partiality.PCF]
ι (PCF) [in UniMath.Partiality.PCF]
R
R* (refltransclos) [in UniMath.MoreFoundations.ClosureOfHrel]R' (refltransclos) [in UniMath.MoreFoundations.ClosureOfHrel]
S
_ ≅ _ [in UniMath.MoreFoundations.StructureIdentity]other
_ --> _ (DCPO) [in UniMath.Algebra.DCPO]_ ≠ _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ =? _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ > _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ ≥ _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ ≥ _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ ≤ _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ <= _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
_ < _ (decidable_nat) [in UniMath.MoreFoundations.DecidablePropositions]
¬ _ (decidable_logic) [in UniMath.MoreFoundations.DecidablePropositions]
_ ∧ _ (decidable_logic) [in UniMath.MoreFoundations.DecidablePropositions]
_ ∨ _ (decidable_logic) [in UniMath.MoreFoundations.DecidablePropositions]
_ ∘ _ (functions) [in UniMath.Foundations.PartA]
_ ⊑ _ (LiftDcpo) [in UniMath.Partiality.PartialElements]
η (LiftDcpo) [in UniMath.Partiality.PartialElements]
𝓛 (LiftDcpo) [in UniMath.Partiality.PartialElements]
_ # (LiftMonadDcpo) [in UniMath.Partiality.LiftMonad]
_ # (LiftMonad) [in UniMath.Partiality.LiftMonad]
_ ⇔ _ (logic) [in UniMath.MoreFoundations.Notations]
_ ⇒ _ (logic) [in UniMath.MoreFoundations.Notations]
_ ⇒ _ (logic) [in UniMath.Foundations.Propositions]
¬ _ (logic) [in UniMath.Foundations.Propositions]
_ / _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ /+ _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ ≥ _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ >= _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ ≤ _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ <= _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ < _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ > _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ ≠ _ (nat_scope) [in UniMath.Foundations.NaturalNumbers]
_ ≠ _ (nat_scope) [in UniMath.MoreFoundations.NegativePropositions]
1000 (nat_scope) [in UniMath.Foundations.Preamble]
100 (nat_scope) [in UniMath.Foundations.Preamble]
24 (nat_scope) [in UniMath.Foundations.Preamble]
23 (nat_scope) [in UniMath.Foundations.Preamble]
22 (nat_scope) [in UniMath.Foundations.Preamble]
21 (nat_scope) [in UniMath.Foundations.Preamble]
20 (nat_scope) [in UniMath.Foundations.Preamble]
19 (nat_scope) [in UniMath.Foundations.Preamble]
18 (nat_scope) [in UniMath.Foundations.Preamble]
17 (nat_scope) [in UniMath.Foundations.Preamble]
16 (nat_scope) [in UniMath.Foundations.Preamble]
15 (nat_scope) [in UniMath.Foundations.Preamble]
14 (nat_scope) [in UniMath.Foundations.Preamble]
13 (nat_scope) [in UniMath.Foundations.Preamble]
12 (nat_scope) [in UniMath.Foundations.Preamble]
11 (nat_scope) [in UniMath.Foundations.Preamble]
10 (nat_scope) [in UniMath.Foundations.Preamble]
9 (nat_scope) [in UniMath.Foundations.Preamble]
8 (nat_scope) [in UniMath.Foundations.Preamble]
7 (nat_scope) [in UniMath.Foundations.Preamble]
6 (nat_scope) [in UniMath.Foundations.Preamble]
5 (nat_scope) [in UniMath.Foundations.Preamble]
4 (nat_scope) [in UniMath.Foundations.Preamble]
3 (nat_scope) [in UniMath.Foundations.Preamble]
2 (nat_scope) [in UniMath.Foundations.Preamble]
1 (nat_scope) [in UniMath.Foundations.Preamble]
0 (nat_scope) [in UniMath.Foundations.Preamble]
_ * _ (nat_scope) [in UniMath.Foundations.Preamble]
_ - _ (nat_scope) [in UniMath.Foundations.Preamble]
_ + _ (nat_scope) [in UniMath.Foundations.Preamble]
_ ⊑ _ (PartialElements) [in UniMath.Partiality.PartialElements]
η (PartialElements) [in UniMath.Partiality.PartialElements]
𝓛 (PartialElements) [in UniMath.Partiality.PartialElements]
_ ▹* _ (PCF) [in UniMath.Partiality.PCF]
_ ▹ _ (PCF) [in UniMath.Partiality.PCF]
_ ` _ (PCF) [in UniMath.Partiality.PCF]
_ ⇨ _ (PCF) [in UniMath.Partiality.PCF]
ℕ (PCF) [in UniMath.Partiality.PCF]
⟦ _ ⟧ (PCF) [in UniMath.Partiality.PCF]
⦃ _ ⦄ (PCF) [in UniMath.Partiality.PCF]
ι (PCF) [in UniMath.Partiality.PCF]
_ < _ (poset) [in UniMath.Foundations.Sets]
_ ≅ _ (poset) [in UniMath.Foundations.Sets]
_ ≤ _ (poset) [in UniMath.Foundations.Sets]
∑ _ .. _ , _ (prop) [in UniMath.MoreFoundations.Notations]
_ × _ (set) [in UniMath.Foundations.Sets]
_ != _ (set) [in UniMath.Foundations.Sets]
_ = _ (set) [in UniMath.Foundations.Sets]
∏ _ .. _ , _ (set) [in UniMath.Foundations.Sets]
∑ _ .. _ , _ (set) [in UniMath.Foundations.Sets]
∑ _ .. _ , _ (subset) [in UniMath.Foundations.Sets]
_ - _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ≢ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ≡ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ⊊ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ⊈ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ⊆ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ∉ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ ∈ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
⋂ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
⋃ _ (subtype) [in UniMath.MoreFoundations.Subtypes]
_ #' _ (transport) [in UniMath.Foundations.PartA]
_ # _ (transport) [in UniMath.Foundations.PartA]
_ ╝ _ (type_scope) [in UniMath.Foundations.PartA]
_ ≃ _ (type_scope) [in UniMath.Foundations.PartA]
∃! _ .. _ , _ (type_scope) [in UniMath.Foundations.PartA]
_ <-> _ (type_scope) [in UniMath.Foundations.PartA]
_ × _ (type_scope) [in UniMath.Foundations.PartA]
∃! _ .. _ , _ (type_scope) [in UniMath.MoreFoundations.Propositions]
∃ _ .. _ , _ (type_scope) [in UniMath.Foundations.Propositions]
_ ∨ _ (type_scope) [in UniMath.Foundations.Propositions]
_ ∧ _ (type_scope) [in UniMath.Foundations.Propositions]
∥ _ ∥ (type_scope) [in UniMath.Foundations.Propositions]
∀ _ .. _ , _ (type_scope) [in UniMath.Foundations.Propositions]
_ → _ (type_scope) [in UniMath.Foundations.Init]
_ <- _ (type_scope) [in UniMath.Foundations.Init]
_ -> _ (type_scope) [in UniMath.Foundations.Init]
∏ _ .. _ , _ (type_scope) [in UniMath.Foundations.Init]
∑ _ .. _ , _ (type_scope) [in UniMath.Foundations.Preamble]
_ = _ (type_scope) [in UniMath.Foundations.Preamble]
_ ∘ _ (weq_scope) [in UniMath.Foundations.PartA]
_ ~ _ [in UniMath.Foundations.PartA]
_ @ _ [in UniMath.Foundations.PartA]
_ != _ [in UniMath.Foundations.PartA]
_ ,, _ [in UniMath.Foundations.Preamble]
_ ⨿ _ [in UniMath.Foundations.Preamble]
ct ( _ , _ , _ , _ ) [in UniMath.Foundations.Sets]
pr11 _ [in UniMath.MoreFoundations.Notations]
pr111 _ [in UniMath.MoreFoundations.Notations]
pr112 _ [in UniMath.MoreFoundations.Notations]
pr12 _ [in UniMath.MoreFoundations.Notations]
pr121 _ [in UniMath.MoreFoundations.Notations]
pr122 _ [in UniMath.MoreFoundations.Notations]
pr21 _ [in UniMath.MoreFoundations.Notations]
pr211 _ [in UniMath.MoreFoundations.Notations]
pr212 _ [in UniMath.MoreFoundations.Notations]
pr22 _ [in UniMath.MoreFoundations.Notations]
pr221 _ [in UniMath.MoreFoundations.Notations]
pr222 _ [in UniMath.MoreFoundations.Notations]
! _ [in UniMath.Foundations.PartA]
∅ [in UniMath.Foundations.Preamble]
¬ _ [in UniMath.Foundations.PartA]
¬¬ _ [in UniMath.Foundations.PartA]
λ _ .. _ , _ [in UniMath.Foundations.Init]
Module Index
T
Test_sets [in UniMath.Foundations.Tests]Test_weqtotal2overcoprod [in UniMath.Foundations.Tests]
Test_isweq_iso [in UniMath.Foundations.Tests]
Variable Index
L
leastupperbound.f [in UniMath.Algebra.DCPO]LiftSurjection.comp_f_epi [in UniMath.Foundations.Sets]
LiftSurjection.f [in UniMath.Foundations.Sets]
LiftSurjection.hsc [in UniMath.Foundations.Sets]
LiftSurjection.p [in UniMath.Foundations.Sets]
LiftSurjection.surjectivep [in UniMath.Foundations.Sets]
T
Test_weqtotal2overcoprod.P [in UniMath.Foundations.Tests]Test_isweq_iso.f [in UniMath.Foundations.Tests]
U
UnivalenceImplications.univalenceAxiom [in UniMath.Foundations.UnivalenceAxiom]Library Index
A
AbelianAbelianGroup
AbelianMonoid
AbelianPushoutPullback
AbelianToAdditive
abgrs
abmonoids
Abmonoids_Tactics
Actions
Adamek
Additive
AdditiveFunctors
Add2Cell
AdjointUnique
Adjunctions
Adjunctions
AffineLine
Algebras
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
All
AlternativeProofs
Apartness
ApFunctor
Archimedean
ArrowCategory
Auxiliary
aux_lemmas
AxiomOfChoice
B
BaseBicat
bicategory
BicategoryLaws
BicategoryOfBicat
BicatOfBicategory
BicatOfCats
Bifunctor
BinaryOperations
bincoproducts
bincoproducts
BindingSigToMonad
BinDirectSums
BinProductOfSignatures
binproducts
binproducts
BinSumOfSignatures
BoundedSearch
C
CatCategoricalRecursionSchemes
Categories
CategoriesOfMonoids
CategoriesWithBinOps
CategoryEquality
CategoryTop
category_binops
catiso
Cats
CCS
Chains
Chains
Circle
ClosureOfHrel
Cochains
Codomain
coequalizers
coequalizers
Cofunctormap
CohomologyComplex
cokernels
cokernels
colimits
Colimits
CommaCategories
commrigs
commrings
Complexes
CompositesAndInverses
Composition
Compositor
ComprehensionC
cones
Constructions
ConstructiveStructures
ContravariantFunctor
coproducts
Core
Core
Core
Core
Core
Core
Core
Core
Core
coslicecat
covyoneda
CwF
D
DCPODecidableDedekindCuts
DecidablePropositions
DedekindCuts
Derivative
DirectSum
Discreteness
DispAdjunctions
DispBicat
DispBicatOfDispCats
DispInvertibles
DisplayedCatToBicat
DispUnivalence
DivisionRig
Domains_and_Fields
DoubleNegation
E
ElementsElementsOp
elems_slice_equiv
EndofunctorsMonoidal
Enriched
EpiFacts
Epis
eqdiag
equalizers
equalizers
Equivalences
Equivalences
Equivalences_bis
Equivalence_Relations
EquivToAdjequiv
EssentiallyAlgebraic
ExactCategories
Examples
Examples
Examples
exponentials
F
FiberedFibration
Fibrations
Fields
Filters
Final
FiniteSequences
FiniteSets
FinOrdCoproducts
FinOrdProducts
FinSet
FiveLemma
flds
folds_pre_2_cat
folds_precat
folds_isomorphism
Foundations
fps
frac
Free_Monoids_and_Groups
FromBindingSigsToMonads_Summary
from_precats_to_folds_and_back
Full
FullSub
FullyFaithful
FunctorAlgebras
FunctorCategory
FunctorCategory
FunctorCoalgebras
Functors
G
GenMendlerIterationGenMendlerIteration_alt
GirardsParadox
Graph
Graphs
GrothendieckGroup
GrothendieckTopos
Group
GroupAction
Groupoids
Groups
Groups_Tactics
grs
H
HalflineHLevel
HLevels
HorizontalComposition
I
IdealsIdentitor
Identity
Init
Initial
initial
initial
intdoms
Integers
Integers
internal_equivalence
Interval
Invertible_2cells
Isos
IteratedBinaryOperations
K
KAKAPreTriangulated
KATriangulated
kernels
kernels
Kleisli
KleisliCategory
KTriples
KTriplesEquiv
L
LamLambdaCalculus
LamFromBindingSig
LamHSET
LamSignature
Lattice
LatticeObject
lemmas
LiftingInitial
LiftingInitial_alt
LiftMonad
limits
limits
Limits
Limits
Limits
Limits
Lists
Lists
LModules
LocalizingClass
M
MagmaMappingCone
MappingCylinder
Map1Cells
Map2Cells
Matrix
MetricTree
MLTT79
Modules
modules
ModulesFromSignatures
MonadAlgebras
Monads
Monads
MonadsFromSubstitutionSystems
MonadsMultiSorted
Monics
MonoEpiIso
Monoid
MonoidalCategories
MonoidalFunctors
Monoids
monoids
Monoids_Tactics
MoreEquivalences
Morphisms
Multimodules
MultiSorted
N
NatNaturalNumbers
NaturalNumbersAlgebra
NaturalNumbers_le_Inductive
Naturals
NaturalTransformations
Nat_Tactics
NegativePropositions
NNO
NonnegativeRationals
NonnegativeReals
Notation
Notations
Notations
O
OmegaCocontFunctorsOneTypes
OpCellBicat
OpFunctor
OpMorBicat
Opp
opp_precat
OrderedSets
P
padicsPartA
PartA
PartB
PartC
PartD
PartialElements
PCF
PointedFunctors
PointedFunctorsComposition
PointedOneTypes
PointedOneTypesBicat
PolynomialFunctors
PreAdditive
Preamble
prebicategory
Precategories
PrecategoriesWithAbgrops
PrecategoryBinProduct
precomp_ess_surj
precomp_fully_faithful
Prelim
Prelim
Prelude
preorder_categories
Presheaf
Prod
ProductCategory
products
Projection
PropExt
Propositions
Propositions
PseudoElements
PseudoFunctor
PseudoFunctorBicat
PseudoTransformation
pullbacks
pullbacks
pullbacks_slice_products_equiv
pushouts
pushouts
Q
QuotientQuotientSet
Quotobjects
R
RationalNumbersRawMatrix
Reals
RelativeModules
RelativeMonads
RelMonads_Coreflection
Representation
Restriction
rezk_completion
RightKanExtension
rigs
RigsAndRings
rings
S
SetcategoriesSets
Sets
Sets
SetValuedFunctors
setwith2binops
ShortExactSequences
Sigma
SignatureCategory
SignatureExamples
Signatures
SimplicialSets
SIP
Slice
slicecat
SliceFamEquiv
StandardCategories
StandardFiniteSets
STLC
Strengths
StructureIdentity
Structures
Submodule
SubobjectClassifier
Subobjects
Subposets
SubstitutionSystems
SubstitutionSystems_Summary
Subtypes
SumOfSignatures
T
TacticsTactics
terminal
terminal
Test
Tests
Tests
Tests
Tests
Tests
Topology
total2_paths
TranslationFunctors
TransportLaws
TransportMorphisms
Trees
Triangulated
Trivial
TwoType
Types
U
UnderCategoriesUnicodeNotations
Uniqueness
Uniqueness
Unitors
Univalence
Univalence
Univalence
Univalence
UnivalenceAxiom
UnivalenceAxiom2
Utilities
Utilities
W
WeakEquivalencesWeaklyConstant
WellFoundedRelations
WellOrderedSets
whiskering
whiskering
wosets
Wtypes
Y
yonedaZ
zerozero
ZFstructures
z_mod_p
Lemma Index
A
AC_iff_ADC_and_LEM [in UniMath.MoreFoundations.AxiomOfChoice]AC_to_LEM [in UniMath.MoreFoundations.AxiomOfChoice]
AC_impl2 [in UniMath.MoreFoundations.AxiomOfChoice]
adequacy [in UniMath.Partiality.PCF]
adequacy_alt [in UniMath.Partiality.PCF]
alt_adequacy [in UniMath.Partiality.PCF]
apathpr1toprUAH [in UniMath.Foundations.UnivalenceAxiom]
app_refltrans_smallstep [in UniMath.Partiality.PCF]
B
base_total2_paths [in UniMath.Foundations.PartA]base_paths [in UniMath.Foundations.PartA]
base_paths_pair_path_in2 [in UniMath.MoreFoundations.PartA]
C
centralfiber [in UniMath.Foundations.PartA]commsqstrtocomplxstr [in UniMath.Foundations.PartA]
complementaryDecisions [in UniMath.MoreFoundations.DecidablePropositions]
complxstrtocommsqstr [in UniMath.Foundations.PartA]
compl_weq_compl_ne [in UniMath.MoreFoundations.NegativePropositions]
compl_ne_weq_compl [in UniMath.MoreFoundations.NegativePropositions]
connectedcoconusfromt [in UniMath.Foundations.PartA]
connectedcoconustot [in UniMath.Foundations.PartA]
constr2 [in UniMath.Foundations.PartA]
coprodcomm_coprodcomm [in UniMath.MoreFoundations.PartA]
coprodofhfiberstohfiber [in UniMath.Foundations.PartC]
curry_uncurry [in UniMath.Foundations.PartA]
D
dcpomorphism_preserveslub [in UniMath.Algebra.DCPO]dcpomorphism_preservesdirected [in UniMath.Algebra.DCPO]
dcpomorphism_preservesorder [in UniMath.Algebra.DCPO]
decidable_proof_by_contradiction [in UniMath.MoreFoundations.Propositions]
decidable_ishinh [in UniMath.Foundations.Propositions]
denotational_semantics_numerals [in UniMath.Partiality.PCF]
diaglemma2 [in UniMath.Foundations.PartA]
dirprodeq [in UniMath.Foundations.PartA]
dirprod_paths [in UniMath.Foundations.PartA]
dirprod_with_contr_l [in UniMath.MoreFoundations.WeakEquivalences]
dirprod_with_contr_r [in UniMath.MoreFoundations.WeakEquivalences]
disjointl1 [in UniMath.Foundations.PartB]
disjoint_disjunction [in UniMath.Foundations.Propositions]
di_neq_i [in UniMath.Foundations.NaturalNumbers]
di_eq2 [in UniMath.Foundations.NaturalNumbers]
di_eq1 [in UniMath.Foundations.NaturalNumbers]
dneganddnegl1 [in UniMath.Foundations.PartA]
dneg_elim_to_LEM [in UniMath.MoreFoundations.Propositions]
dneg_LEM [in UniMath.MoreFoundations.DecidablePropositions]
dneg_decidable [in UniMath.MoreFoundations.DoubleNegation]
doublelubdirected [in UniMath.Algebra.DCPO]
E
epiissurjectiontosets [in UniMath.Foundations.Sets]eqcor0UAH [in UniMath.Foundations.UnivalenceAxiom]
eqfromdnegeq [in UniMath.Foundations.PartB]
eqrel_on_bool_iff [in UniMath.MoreFoundations.AxiomOfChoice]
Equiv_rect [in UniMath.MoreFoundations.StructureIdentity]
eqweqmap_pathsinv0 [in UniMath.Foundations.PartD]
eqweqmap_pathscomp0 [in UniMath.Foundations.PartD]
F
factor_through_squash [in UniMath.Foundations.Propositions]fibseqstrtohfsqstr [in UniMath.Foundations.PartA]
forallnegtoneghexists [in UniMath.Foundations.Propositions]
fromneganddecx [in UniMath.Foundations.PartC]
fromneganddecy [in UniMath.Foundations.PartC]
fromnegcoprod [in UniMath.Foundations.Propositions]
fromnegcoprod_prop [in UniMath.Foundations.Propositions]
funcomp_assoc [in UniMath.Foundations.PartA]
funcontrtwice [in UniMath.Foundations.UnivalenceAxiom]
funcontrUAH [in UniMath.Foundations.UnivalenceAxiom]
functtransportb [in UniMath.Foundations.PartA]
functtransportf [in UniMath.Foundations.PartA]
funextcontrUAH [in UniMath.Foundations.UnivalenceAxiom]
funextemptyUAH [in UniMath.Foundations.UnivalenceAxiom]
funextfunImplication [in UniMath.Foundations.UnivalenceAxiom]
funextfunPreliminaryUAH [in UniMath.Foundations.UnivalenceAxiom]
funextsecImplication [in UniMath.Foundations.UnivalenceAxiom]
funextsec_toforallpaths [in UniMath.MoreFoundations.Univalence]
H
hconjtohdisj [in UniMath.Foundations.Propositions]hconj_absorb_hdisj [in UniMath.MoreFoundations.Propositions]
hdisjtoimpl [in UniMath.Foundations.Propositions]
hdisj_absorb_hconj [in UniMath.MoreFoundations.Propositions]
hdisj_impl_2 [in UniMath.MoreFoundations.Propositions]
hdisj_impl_1 [in UniMath.MoreFoundations.Propositions]
hexistsnegtonegforall [in UniMath.Foundations.Propositions]
hfalse_hdisj [in UniMath.MoreFoundations.Propositions]
hfibershomotftog [in UniMath.Foundations.PartA]
hfibershomotgtof [in UniMath.Foundations.PartA]
hfibertocoprodofhfibers [in UniMath.Foundations.PartC]
hfibertriangle1 [in UniMath.Foundations.PartA]
hfibertriangle1inv0 [in UniMath.Foundations.PartA]
hfibertriangle1inv0' [in UniMath.Foundations.PartA]
hfibertriangle1' [in UniMath.Foundations.PartA]
hfibertriangle2 [in UniMath.Foundations.PartA]
hfp_left [in UniMath.Foundations.PartA]
hfsqstrtofibseqstr [in UniMath.Foundations.PartA]
hinhcoprod [in UniMath.Foundations.Propositions]
hlevelntosn [in UniMath.Foundations.PartB]
hlevelretract [in UniMath.Foundations.PartB]
hlevel_total2 [in UniMath.MoreFoundations.PartA]
hlevel_of_hlevels [in UniMath.Foundations.HLevels]
homotd3g [in UniMath.Foundations.PartA]
homotfromtococonusf [in UniMath.Foundations.PartA]
homotfuntranspos2 [in UniMath.Foundations.PartC]
homotrecomplnat [in UniMath.Foundations.PartC]
homottofromcoconusf [in UniMath.Foundations.PartA]
homotweqinv [in UniMath.Foundations.PartA]
homotweqinv' [in UniMath.Foundations.PartA]
hPropUnivalence [in UniMath.Foundations.Propositions]
hSet_rect [in UniMath.Foundations.Sets]
hSet_univalence [in UniMath.Foundations.Sets]
hsubtype_rect [in UniMath.MoreFoundations.Subtypes]
hsubtype_univalence [in UniMath.MoreFoundations.Subtypes]
htrue_hconj [in UniMath.MoreFoundations.Propositions]
I
ident_is_prop [in UniMath.Foundations.HLevels]idisweq [in UniMath.Foundations.PartA]
Id_p_weq_Id [in UniMath.Foundations.HLevels]
ifcontrthenunitl0 [in UniMath.Foundations.PartA]
ifz_refltrans_smallstep [in UniMath.Partiality.PCF]
ii1_injectivity [in UniMath.Foundations.PartA]
ii2_injectivity [in UniMath.Foundations.PartA]
impred [in UniMath.Foundations.PartD]
impredfun [in UniMath.Foundations.PartD]
impredtech1 [in UniMath.Foundations.PartD]
impredtwice [in UniMath.Foundations.PartD]
impred_isaset [in UniMath.Foundations.PartD]
impred_isaprop [in UniMath.Foundations.PartD]
impred_iscontr [in UniMath.Foundations.PartD]
impred_prop [in UniMath.Foundations.Propositions]
incl_injectivity [in UniMath.Foundations.PartD]
invinv [in UniMath.Foundations.PartA]
invmaponpathsS [in UniMath.Foundations.NaturalNumbers]
invmap_eq [in UniMath.MoreFoundations.PartA]
invproofirrelevance [in UniMath.Foundations.PartB]
inv_idweq_is_idweq [in UniMath.Foundations.PartD]
isaninvpropneg [in UniMath.Foundations.PartC]
isaninv1 [in UniMath.Foundations.PartC]
isantisymmnegnatgth [in UniMath.Foundations.NaturalNumbers]
isantisymmnegquotrel [in UniMath.Foundations.Sets]
isantisymmnegrel [in UniMath.Foundations.Sets]
isantisymmnegtoiscoantisymm [in UniMath.Foundations.Sets]
isantisymmquotrel [in UniMath.Foundations.Sets]
isantisymm_posetRelation [in UniMath.Foundations.Sets]
isapropaninvprop [in UniMath.Foundations.PartC]
isapropcomponent1 [in UniMath.Foundations.PartB]
isapropcomponent2 [in UniMath.Foundations.PartB]
isapropcoprod [in UniMath.Foundations.PartB]
isapropdec [in UniMath.Foundations.PartC]
isapropdneg [in UniMath.Foundations.PartC]
isapropempty [in UniMath.Foundations.PartB]
isapropifcontr [in UniMath.Foundations.PartB]
isapropifnegtrue [in UniMath.Foundations.PartB]
isapropimeqclass [in UniMath.Foundations.Sets]
isapropimpl [in UniMath.Foundations.PartD]
isapropisaprop [in UniMath.Foundations.PartD]
isapropisaset [in UniMath.Foundations.PartD]
isapropischoicebase [in UniMath.Foundations.Sets]
isapropiscomprelfun [in UniMath.MoreFoundations.Sets]
isapropiscontr [in UniMath.Foundations.PartD]
isapropisdeceq [in UniMath.Foundations.PartD]
isapropiseqclass [in UniMath.Foundations.Sets]
isapropishinh [in UniMath.Foundations.Propositions]
isapropisisolated [in UniMath.Foundations.PartD]
isapropisofhlevel [in UniMath.Foundations.PartD]
isapropisofhlevelf [in UniMath.Foundations.PartD]
isapropissurjective [in UniMath.Foundations.Propositions]
isapropisweq [in UniMath.Foundations.PartD]
isapropneg [in UniMath.Foundations.PartC]
isapropneg2 [in UniMath.Foundations.PartD]
isaproppathsfromisolated [in UniMath.Foundations.PartB]
isaproppathsfromisolated_ne [in UniMath.MoreFoundations.NegativePropositions]
isaproppathstoisolated [in UniMath.Foundations.PartB]
isapropretract [in UniMath.Foundations.PartB]
isapropsubtype [in UniMath.Foundations.Sets]
isaproptildehProp [in UniMath.Foundations.Propositions]
isaproptotal2 [in UniMath.MoreFoundations.Propositions]
isapropweqfromcontr [in UniMath.Foundations.PartD]
isapropweqfromempty [in UniMath.Foundations.PartD]
isapropweqfromempty2 [in UniMath.Foundations.PartD]
isapropweqfromprop [in UniMath.Foundations.PartD]
isapropweqfromunit [in UniMath.Foundations.PartD]
isapropweqtocontr [in UniMath.Foundations.PartD]
isapropweqtoempty [in UniMath.Foundations.PartD]
isapropweqtoempty2 [in UniMath.Foundations.PartD]
isapropweqtoprop [in UniMath.Foundations.PartD]
isapropweqtounit [in UniMath.Foundations.PartD]
isaprop_isInjective [in UniMath.Foundations.PartD]
isaprop_assume_it_is [in UniMath.MoreFoundations.Propositions]
isaprop_LEM [in UniMath.MoreFoundations.DecidablePropositions]
isaprop_isFalse [in UniMath.MoreFoundations.DecidablePropositions]
isaprop_isTrue [in UniMath.MoreFoundations.DecidablePropositions]
isaprop_forall_hProp [in UniMath.Foundations.Propositions]
isaprop_total2 [in UniMath.Foundations.Propositions]
isaprop_isdcpomorphism [in UniMath.Algebra.DCPO]
isaprop_preserveslub [in UniMath.Algebra.DCPO]
isaprop_isdirectedcomplete [in UniMath.Algebra.DCPO]
isaprop_isdirected [in UniMath.Algebra.DCPO]
isaprop_islub [in UniMath.Algebra.DCPO]
isaprop_isupperbound [in UniMath.Algebra.DCPO]
isaprop_consecutive [in UniMath.Foundations.Sets]
isaprop_isMaximal [in UniMath.Foundations.Sets]
isaprop_isMinimal [in UniMath.Foundations.Sets]
isaprop_isPosetEquivalence [in UniMath.Foundations.Sets]
isaprop_isaposetmorphism [in UniMath.Foundations.Sets]
isaprop_isPartialOrder [in UniMath.Foundations.Sets]
isaprop_ispreorder [in UniMath.Foundations.Sets]
isaprop_isantisymm [in UniMath.Foundations.Sets]
isaprop_istotal [in UniMath.Foundations.Sets]
isaprop_isrefl [in UniMath.Foundations.Sets]
isaprop_istrans [in UniMath.Foundations.Sets]
isaprop_isProofIrrelevant [in UniMath.Foundations.PartC]
isaprop_funextcontrStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_funcontrStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_propositionalUnivalenceStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_isweqtoforallpathsStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_funextemptyStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_univalenceStatement [in UniMath.Foundations.UnivalenceAxiom2]
isaprop_isdefined [in UniMath.Partiality.PartialElements]
isasetaprop [in UniMath.Foundations.PartB]
isasetbool [in UniMath.Foundations.PartB]
isasetcoprod [in UniMath.Foundations.PartC]
isasetempty [in UniMath.Foundations.PartB]
isasethProp [in UniMath.Foundations.Propositions]
isasethsubtype [in UniMath.Foundations.Sets]
isasetifcontr [in UniMath.Foundations.PartB]
isasetifdeceq [in UniMath.Foundations.PartB]
isasetifiscontrloops [in UniMath.Foundations.PartB]
isasetnat [in UniMath.Foundations.NaturalNumbers]
isasetsetquot [in UniMath.Foundations.Sets]
isasetsetquot2 [in UniMath.Foundations.Sets]
isasetsubset [in UniMath.Foundations.PartB]
isasettildehProp [in UniMath.Foundations.Propositions]
isasetunit [in UniMath.Foundations.PartB]
isasetweqfromset [in UniMath.Foundations.PartD]
isasetweqtoset [in UniMath.Foundations.PartD]
isaset_set_fun_space [in UniMath.Foundations.Sets]
isaset_carrier_subset [in UniMath.Foundations.Sets]
isaset_forall_hSet [in UniMath.Foundations.Sets]
isaset_total2_hSet [in UniMath.Foundations.Sets]
isaset_hfiber [in UniMath.Foundations.PartB]
isaset_dirprod [in UniMath.Foundations.PartB]
isaset_total2 [in UniMath.Foundations.PartB]
isassoc_hdisj [in UniMath.MoreFoundations.Propositions]
isassoc_hconj [in UniMath.MoreFoundations.Propositions]
isasymmnatgth [in UniMath.Foundations.NaturalNumbers]
isasymmnegrel [in UniMath.Foundations.Sets]
isasymmquotrel [in UniMath.Foundations.Sets]
ischoicebasecontr [in UniMath.Foundations.Sets]
ischoicebasecoprod [in UniMath.Foundations.Sets]
ischoicebaseempty [in UniMath.Foundations.Sets]
ischoicebaseempty2 [in UniMath.Foundations.Sets]
ischoicebaseunit [in UniMath.Foundations.Sets]
ischoicebaseweqb [in UniMath.Foundations.Sets]
ischoicebaseweqf [in UniMath.Foundations.Sets]
iscoantisymmnatgth [in UniMath.Foundations.NaturalNumbers]
iscoasymmgenrel [in UniMath.Foundations.Sets]
iscoasymmquotrel [in UniMath.Foundations.Sets]
iscomm_hdisj [in UniMath.MoreFoundations.Propositions]
iscomm_hconj [in UniMath.MoreFoundations.Propositions]
iscomprelfunlogeqf [in UniMath.Foundations.Sets]
iscomprelfunlogeqf1 [in UniMath.Foundations.Sets]
iscomprelfunlogeqf2 [in UniMath.Foundations.Sets]
iscomprelfun_funcomp [in UniMath.MoreFoundations.Sets]
iscomprelfun2if [in UniMath.Foundations.Sets]
iscomprelfun2logeqf [in UniMath.Foundations.Sets]
iscomprelrelfun2if [in UniMath.Foundations.Sets]
iscomprelrelfun2logeqf1 [in UniMath.Foundations.Sets]
iscomprelrelfun2logeqf2 [in UniMath.Foundations.Sets]
iscomprelrelif [in UniMath.Foundations.Sets]
iscomprelrellogeqf1 [in UniMath.Foundations.Sets]
iscomprelrellogeqf2 [in UniMath.Foundations.Sets]
iscompsetquotpr [in UniMath.Foundations.Sets]
iscompsetquot2pr [in UniMath.Foundations.Sets]
iscontraprop1 [in UniMath.Foundations.PartB]
iscontraprop1inv [in UniMath.Foundations.PartB]
iscontrcoconusfromt [in UniMath.Foundations.PartA]
iscontrcoconustot [in UniMath.Foundations.PartA]
iscontrfunfromempty [in UniMath.Foundations.PartD]
iscontrfunfromempty2 [in UniMath.Foundations.PartD]
iscontrfuntocontr [in UniMath.Foundations.PartD]
iscontrfuntounit [in UniMath.Foundations.PartD]
iscontrhfiberdi [in UniMath.Foundations.NaturalNumbers]
iscontrhfibereqbx [in UniMath.Foundations.PartC]
iscontrhfiberii1x [in UniMath.Foundations.PartC]
iscontrhfiberii2y [in UniMath.Foundations.PartC]
iscontrhfiberl1 [in UniMath.Foundations.PartA]
iscontrhfiberl2 [in UniMath.Foundations.PartA]
iscontrhfibernatplusl [in UniMath.Foundations.NaturalNumbers]
iscontrhfibernatplusr [in UniMath.Foundations.NaturalNumbers]
iscontrhfiberofincl [in UniMath.Foundations.PartB]
iscontrifweqtounit [in UniMath.Foundations.PartA]
iscontriscontr [in UniMath.Foundations.PartD]
iscontrloopsifisaset [in UniMath.Foundations.PartB]
iscontrpathsinunit [in UniMath.Foundations.PartA]
iscontrretract [in UniMath.Foundations.PartA]
iscontrtildehProp [in UniMath.Foundations.Propositions]
iscontrunit [in UniMath.Foundations.PartA]
iscontrweqb [in UniMath.Foundations.PartA]
iscontrweqf [in UniMath.Foundations.PartA]
iscontr_move_point_eq [in UniMath.Foundations.PartA]
iscontr_move_point [in UniMath.Foundations.PartA]
iscoprojfromisdecincl [in UniMath.Foundations.PartC]
iscotransnatgth [in UniMath.Foundations.NaturalNumbers]
iscotransquotrel [in UniMath.Foundations.Sets]
iscotrans_to_istrans_negReln [in UniMath.MoreFoundations.NegativePropositions]
isdeceqbool [in UniMath.Foundations.PartB]
isdeceqcoprod [in UniMath.Foundations.PartB]
isdeceqif [in UniMath.Foundations.PartC]
isdeceqifisaprop [in UniMath.Foundations.PartB]
isdeceqinclb [in UniMath.Foundations.PartB]
isdeceqsetquot_non_constr [in UniMath.Foundations.Sets]
isdecequnit [in UniMath.Foundations.PartB]
isdeceqweqb [in UniMath.Foundations.PartB]
isdeceqweqf [in UniMath.Foundations.PartB]
isdeceq_total2 [in UniMath.Foundations.PartB]
isdecinclcomp [in UniMath.Foundations.PartC]
isdecincldi [in UniMath.Foundations.NaturalNumbers]
isdecinclf [in UniMath.Foundations.PartC]
isdecinclfromiscoproj [in UniMath.Foundations.PartC]
isdecinclfromisweq [in UniMath.Foundations.PartC]
isdecinclg [in UniMath.Foundations.PartC]
isdecinclhomot [in UniMath.Foundations.PartC]
isdecinclii1 [in UniMath.Foundations.PartC]
isdecinclii2 [in UniMath.Foundations.PartC]
isdecinclnatplusr [in UniMath.Foundations.NaturalNumbers]
isdecinclpr1 [in UniMath.Foundations.PartC]
isdecinclS [in UniMath.Foundations.NaturalNumbers]
isdecincltoisincl [in UniMath.Foundations.PartC]
isdecnegrel [in UniMath.Foundations.Sets]
isdecpropdirprod [in UniMath.Foundations.PartC]
isdecpropempty [in UniMath.Foundations.PartB]
isdecpropfibseq0 [in UniMath.Foundations.PartC]
isdecpropfibseq1 [in UniMath.Foundations.PartC]
isdecpropfromdecincl [in UniMath.Foundations.PartC]
isdecpropfromiscontr [in UniMath.Foundations.PartB]
isdecpropfromneg [in UniMath.Foundations.PartB]
isdecprophdisj [in UniMath.Foundations.Propositions]
isdecpropif [in UniMath.Foundations.PartB]
isdecpropif' [in UniMath.Foundations.PartC]
isdecproplogeqb [in UniMath.Foundations.PartB]
isdecproplogeqf [in UniMath.Foundations.PartB]
isdecproppaths [in UniMath.Foundations.PartC]
isdecproppathsfromisolated [in UniMath.Foundations.PartC]
isdecproppathstoisolated [in UniMath.Foundations.PartC]
isdecpropweqb [in UniMath.Foundations.PartB]
isdecpropweqf [in UniMath.Foundations.PartB]
isdecquotrel [in UniMath.Foundations.Sets]
isdecrelnatgth [in UniMath.Foundations.NaturalNumbers]
isdecreltoisnegrel [in UniMath.Foundations.Sets]
isdefinedlub_toprop [in UniMath.Partiality.PartialElements]
isdefinedlub_toprop' [in UniMath.Partiality.PartialElements]
iseqclassdirprod [in UniMath.Foundations.Sets]
iseqclassresrel [in UniMath.Foundations.Sets]
iseqrelquotrel [in UniMath.Foundations.Sets]
isfibseqg [in UniMath.Foundations.PartA]
isfibseqpr1 [in UniMath.Foundations.PartA]
ishfsqweqhfibersgtof' [in UniMath.Foundations.PartA]
ishfsqweqhfibersg'tof [in UniMath.Foundations.PartA]
ishinhsubtypedirprod [in UniMath.Foundations.Sets]
ishinh_irrel [in UniMath.MoreFoundations.Propositions]
ishomotinclrecomplf [in UniMath.Foundations.PartC]
isinclbetweensets [in UniMath.Foundations.PartB]
isinclcomp [in UniMath.Foundations.PartB]
isincldi [in UniMath.Foundations.NaturalNumbers]
isinclfromcoprodwithnegimage [in UniMath.Foundations.PartC]
isinclfromhfiber [in UniMath.Foundations.PartB]
isinclfromunit [in UniMath.Foundations.PartB]
isinclgtogw [in UniMath.Foundations.PartB]
isinclgwtog [in UniMath.Foundations.PartB]
isinclhomot [in UniMath.Foundations.PartB]
isinclii1 [in UniMath.Foundations.PartC]
isinclii2 [in UniMath.Foundations.PartC]
isinclnatplusl [in UniMath.Foundations.NaturalNumbers]
isinclnatplusr [in UniMath.Foundations.NaturalNumbers]
isinclpr1carrier [in UniMath.Foundations.Sets]
isinclpr1compl [in UniMath.Foundations.PartC]
isinclpr1compl_ne [in UniMath.MoreFoundations.NegativePropositions]
isinclpr1image [in UniMath.Foundations.Propositions]
isinclpr1isolated [in UniMath.Foundations.PartD]
isinclpr1setquot [in UniMath.Foundations.Sets]
isinclpr1weq [in UniMath.Foundations.PartD]
isinclS [in UniMath.Foundations.NaturalNumbers]
isinclsetquotfun [in UniMath.Foundations.Sets]
isincltwooutof3a [in UniMath.Foundations.PartB]
isinclweq [in UniMath.Foundations.PartB]
isinclweqonpaths [in UniMath.Foundations.PartB]
isincl_pr1_PosetEquivalence [in UniMath.Foundations.Sets]
isinjpr1weq [in UniMath.Foundations.PartD]
isinj_pr1_PosetEquivalence [in UniMath.Foundations.Sets]
isirreflnatgth [in UniMath.Foundations.NaturalNumbers]
isirreflquotrel [in UniMath.Foundations.Sets]
isirrefl_natneq [in UniMath.Foundations.NaturalNumbers]
isisolateddecinclf [in UniMath.Foundations.PartC]
isisolatedinclb [in UniMath.Foundations.PartB]
isisolatedweqf [in UniMath.Foundations.PartB]
islogeqassochconj [in UniMath.MoreFoundations.Propositions]
islogeqassochdisj [in UniMath.MoreFoundations.Propositions]
islogeqcommhconj [in UniMath.MoreFoundations.Propositions]
islogeqcommhdisj [in UniMath.Foundations.Propositions]
islogeqhconj_absorb_hdisj [in UniMath.MoreFoundations.Propositions]
islogeqhdisj_absorb_hconj [in UniMath.MoreFoundations.Propositions]
islogeqhfalse_hdisj [in UniMath.MoreFoundations.Propositions]
islogeqhhtrue_hconj [in UniMath.MoreFoundations.Propositions]
islub_islubpointwise [in UniMath.Algebra.DCPO]
isnegnegrel [in UniMath.Foundations.Sets]
isnegrelnatgth [in UniMath.Foundations.NaturalNumbers]
isofhlevelcontr [in UniMath.Foundations.PartB]
isofhleveldirprod [in UniMath.Foundations.PartB]
isofhlevelfcoprodf [in UniMath.Foundations.PartC]
isofhlevelff [in UniMath.Foundations.PartB]
isofhlevelfffromZ [in UniMath.Foundations.PartB]
isofhlevelffib [in UniMath.Foundations.PartB]
isofhlevelffromXY [in UniMath.Foundations.PartB]
isofhlevelfgf [in UniMath.Foundations.PartB]
isofhlevelfgtogw [in UniMath.Foundations.PartB]
isofhlevelfgwtog [in UniMath.Foundations.PartB]
isofhlevelfhfiberpr1 [in UniMath.Foundations.PartB]
isofhlevelfhfiberpr1y [in UniMath.Foundations.PartB]
isofhlevelfhomot [in UniMath.Foundations.PartB]
isofhlevelfhomot2 [in UniMath.Foundations.PartB]
isofhlevelfonpaths [in UniMath.Foundations.PartB]
isofhlevelfpmap [in UniMath.Foundations.PartB]
isofhlevelfpr1 [in UniMath.Foundations.PartB]
isofhlevelfromfun [in UniMath.Foundations.PartB]
isofhlevelfsn [in UniMath.Foundations.PartB]
isofhlevelfsnfib [in UniMath.Foundations.PartB]
isofhlevelfsnhfiberpr1 [in UniMath.Foundations.PartB]
isofhlevelfsnincl [in UniMath.Foundations.PartB]
isofhlevelfssn [in UniMath.Foundations.PartB]
isofhlevelfssnsumofmaps [in UniMath.Foundations.PartC]
isofhlevelfsumofmapsnoi [in UniMath.Foundations.PartC]
isofhlevelfweq [in UniMath.Foundations.PartB]
isofhlevelpathspace [in UniMath.Foundations.HLevels]
isofhlevelsn [in UniMath.Foundations.PartB]
isofhlevelSnpathspace [in UniMath.Foundations.HLevels]
isofhlevelsnprop [in UniMath.Foundations.PartB]
isofhlevelsnsummand1 [in UniMath.Foundations.PartC]
isofhlevelsnsummand2 [in UniMath.Foundations.PartC]
isofhlevelsnweqfromhlevelsn [in UniMath.Foundations.PartD]
isofhlevelsnweqtohlevelsn [in UniMath.Foundations.PartD]
isofhlevelssn [in UniMath.Foundations.PartB]
isofhlevelssncoprod [in UniMath.Foundations.PartC]
isofhlevelssnset [in UniMath.Foundations.PartB]
isofhleveltofun [in UniMath.Foundations.PartB]
isofhleveltotal2 [in UniMath.Foundations.PartB]
isofhlevelweqb [in UniMath.Foundations.PartB]
isofhlevelweqf [in UniMath.Foundations.PartB]
isofhlevelXfromfY [in UniMath.Foundations.PartB]
isofhlevelXfromg [in UniMath.Foundations.PartB]
isofhlevel_hsubtype [in UniMath.MoreFoundations.PartA]
isofhlevel0pathspace [in UniMath.Foundations.HLevels]
isolatedtoisolatedii1 [in UniMath.Foundations.PartC]
isolatedtoisolatedii2 [in UniMath.Foundations.PartC]
ispartialorder_pointwiseorder [in UniMath.Algebra.DCPO]
ispoquotrel [in UniMath.Foundations.Sets]
isProofIrrelevantUnit [in UniMath.Foundations.PartA]
isProofIrrelevant_paths [in UniMath.Foundations.PartB]
isrefleqh [in UniMath.Foundations.Sets]
isreflquotrel [in UniMath.Foundations.Sets]
isrefl_logeq [in UniMath.Foundations.PartA]
isrefl_posetRelation [in UniMath.Foundations.Sets]
issurjcomp [in UniMath.Foundations.Propositions]
issurjectiveweq [in UniMath.Foundations.Propositions]
issurjprtoimage [in UniMath.Foundations.Propositions]
issurjsetquotfun [in UniMath.Foundations.Sets]
issurjsetquotpr [in UniMath.Foundations.Sets]
issurjsetquot2pr [in UniMath.Foundations.Sets]
issurjtwooutof3b [in UniMath.Foundations.Propositions]
issymmquotrel [in UniMath.Foundations.Sets]
issymm_natneq [in UniMath.Foundations.NaturalNumbers]
issymm_logeq [in UniMath.Foundations.PartA]
istotalquotrel [in UniMath.Foundations.Sets]
istotaltoiscoasymm [in UniMath.Foundations.Sets]
istransandirrefltoasymm [in UniMath.Foundations.Sets]
istransnatgth [in UniMath.Foundations.NaturalNumbers]
istransnegrel [in UniMath.Foundations.Sets]
istransquotrel [in UniMath.Foundations.Sets]
istrans_posetRelation [in UniMath.Foundations.Sets]
isweqbandfmap [in UniMath.Foundations.PartA]
isweqboolsumtocoprod [in UniMath.Foundations.PartA]
isweqcompwithweqUAH [in UniMath.Foundations.UnivalenceAxiom]
isweqcontrcontr [in UniMath.Foundations.PartA]
isweqcontrtounit [in UniMath.Foundations.PartA]
isweqcoprodasstol [in UniMath.Foundations.PartA]
isweqcoprodasstor [in UniMath.Foundations.PartA]
isweqcoprodcomm [in UniMath.Foundations.PartA]
isweqcoprodf [in UniMath.Foundations.PartA]
isweqcoprodtoboolsum [in UniMath.Foundations.PartA]
isweqdeltap [in UniMath.Foundations.PartA]
isweqdirprodf [in UniMath.Foundations.PartA]
isweqezmaphf [in UniMath.Foundations.PartA]
isweqezmap1 [in UniMath.Foundations.PartA]
isweqfibtototal [in UniMath.Foundations.PartA]
isweqfinfibseq [in UniMath.Foundations.PartB]
isweqforalltohfiber [in UniMath.Foundations.PartD]
isweqforalltototal [in UniMath.Foundations.PartD]
isweqfpmap [in UniMath.Foundations.PartA]
isweqfromcoconusf [in UniMath.Foundations.PartA]
isweqfromcompltodisjoint [in UniMath.Foundations.PartC]
isweqhff [in UniMath.Foundations.PartA]
isweqhfiberfp [in UniMath.Foundations.PartA]
isweqhfibersgtof' [in UniMath.Foundations.PartA]
isweqhfibersg'tof [in UniMath.Foundations.PartA]
isweqhfibertoforall [in UniMath.Foundations.PartD]
isweqhomot [in UniMath.Foundations.PartA]
isweqhomot_iff [in UniMath.Foundations.PartA]
isweqii1withneg [in UniMath.Foundations.PartA]
isweqii2withneg [in UniMath.Foundations.PartA]
isweqimplimpl [in UniMath.Foundations.PartB]
isweqinclandsurj [in UniMath.Foundations.Propositions]
isweqinvmap [in UniMath.Foundations.PartA]
isweqlcompwithweqUAH [in UniMath.Foundations.UnivalenceAxiom]
isweql3 [in UniMath.Foundations.PartA]
isweqmaponpaths [in UniMath.Foundations.PartA]
isweqmaponsec [in UniMath.Foundations.PartD]
isweqmaponsec1 [in UniMath.Foundations.PartD]
isweqonpathsincl [in UniMath.Foundations.PartB]
isweqpathscomp0r [in UniMath.Foundations.PartA]
isweqpathsinv0 [in UniMath.Foundations.PartA]
isweqpr1 [in UniMath.Foundations.PartB]
isweqpr1pr1 [in UniMath.Foundations.PartA]
isweqrcompwithweqUAH [in UniMath.Foundations.UnivalenceAxiom]
isweqrdistrtocoprod [in UniMath.Foundations.PartA]
isweqrdistrtoprod [in UniMath.Foundations.PartA]
isweqrecompl [in UniMath.Foundations.PartC]
isweqrecompl_ne' [in UniMath.MoreFoundations.NegativePropositions]
isweqrecompl_ne [in UniMath.MoreFoundations.NegativePropositions]
isweqrecompl' [in UniMath.MoreFoundations.NegativePropositions]
isweqtococonusf [in UniMath.Foundations.PartA]
isweqtocompltodisjoint [in UniMath.Foundations.PartC]
isweqtocompltoii1x [in UniMath.Foundations.PartC]
isweqtocompltoii2y [in UniMath.Foundations.PartC]
isweqtoempty2 [in UniMath.Foundations.PartA]
isweqtoforallpathsUAH [in UniMath.Foundations.UnivalenceAxiom]
isweqtotaltofib [in UniMath.Foundations.PartA]
isweqtotaltoforall [in UniMath.Foundations.PartD]
isweqtransportb [in UniMath.Foundations.PartA]
isweqtransportb10 [in UniMath.Foundations.UnivalenceAxiom]
isweqtransportf [in UniMath.Foundations.PartA]
isweqtransportf10 [in UniMath.Foundations.UnivalenceAxiom]
isweqweqtransportbUAH [in UniMath.Foundations.UnivalenceAxiom]
isweq_iso [in UniMath.Foundations.PartA]
isweq_to_isweq_unit [in UniMath.Foundations.PartA]
isweq_flipsec [in UniMath.MoreFoundations.PartA]
iter_isdcpomorphism' [in UniMath.Algebra.DCPO]
iter_preservesorder [in UniMath.Algebra.DCPO]
iter'_isdirected [in UniMath.Algebra.DCPO]
iter'_increases [in UniMath.Algebra.DCPO]
iter'_isomegachain [in UniMath.Algebra.DCPO]
K
Kleisli_extension_preservesorder [in UniMath.Partiality.LiftMonad]L
leastfixedpoint_isleast [in UniMath.Algebra.DCPO]leastfixedpoint_isfixedpoint [in UniMath.Algebra.DCPO]
LEM_for_sets [in UniMath.MoreFoundations.DecidablePropositions]
liftlub_isdefined [in UniMath.Partiality.PartialElements]
liftlub_isdefined' [in UniMath.Partiality.PartialElements]
liftofhset_isaset [in UniMath.Partiality.PartialElements]
liftorder_ispropvalued [in UniMath.Partiality.PartialElements]
lift_isdirectedcomplete [in UniMath.Partiality.PartialElements]
logeq_if_both_false [in UniMath.MoreFoundations.Propositions]
logeq_if_both_true [in UniMath.MoreFoundations.Propositions]
logeq_dec [in UniMath.MoreFoundations.DecidablePropositions]
lthnatrem [in UniMath.Foundations.NaturalNumbers]
lubpreservesorder [in UniMath.Algebra.DCPO]
lubsareunique [in UniMath.Algebra.DCPO]
l1 [in UniMath.Foundations.UnivalenceAxiom]
M
maponpathscomp [in UniMath.Foundations.PartA]maponpathshomid1 [in UniMath.Foundations.PartA]
maponpathshomid2 [in UniMath.Foundations.PartA]
maponpathsidfun [in UniMath.Foundations.PartA]
maponpaths_for_constant_function [in UniMath.MoreFoundations.PartA]
maponsec1l1 [in UniMath.Foundations.PartD]
maponsec1l2 [in UniMath.Foundations.PartD]
mkdirectedlubinlift_islub [in UniMath.Partiality.PartialElements]
multnsm [in UniMath.Foundations.NaturalNumbers]
multsnm [in UniMath.Foundations.NaturalNumbers]
N
natdiffplusdiff [in UniMath.Foundations.NaturalNumbers]natdivremandmultl [in UniMath.Foundations.NaturalNumbers]
natdivremandmultr [in UniMath.Foundations.NaturalNumbers]
natdivremrule [in UniMath.Foundations.NaturalNumbers]
natdivremunique [in UniMath.Foundations.NaturalNumbers]
natgehchoice2 [in UniMath.Foundations.NaturalNumbers]
natgehchoice3 [in UniMath.Foundations.NaturalNumbers]
natgehdinn [in UniMath.Foundations.NaturalNumbers]
natgehgthtrans [in UniMath.Foundations.NaturalNumbers]
natgehp1togth [in UniMath.Foundations.NaturalNumbers]
natgehsntogth [in UniMath.Foundations.NaturalNumbers]
natgehtogthsn [in UniMath.Foundations.NaturalNumbers]
natgthchoice2 [in UniMath.Foundations.NaturalNumbers]
natgthchoice3 [in UniMath.Foundations.NaturalNumbers]
natgthgehtrans [in UniMath.Foundations.NaturalNumbers]
natgthnegleh [in UniMath.Foundations.NaturalNumbers]
natgthp1togeh [in UniMath.Foundations.NaturalNumbers]
natgthsnn [in UniMath.Foundations.NaturalNumbers]
natgthsntogeh [in UniMath.Foundations.NaturalNumbers]
natgthsn0 [in UniMath.Foundations.NaturalNumbers]
natgthtogehp1 [in UniMath.Foundations.NaturalNumbers]
natgthtogehsn [in UniMath.Foundations.NaturalNumbers]
natgthtoneq [in UniMath.Foundations.NaturalNumbers]
natldistr [in UniMath.Foundations.NaturalNumbers]
natlehchoice2 [in UniMath.Foundations.NaturalNumbers]
natlehchoice3 [in UniMath.Foundations.NaturalNumbers]
natlehchoice4 [in UniMath.Foundations.NaturalNumbers]
natlehdinsn [in UniMath.Foundations.NaturalNumbers]
natlehlthtrans [in UniMath.Foundations.NaturalNumbers]
natlehmultnatdiv [in UniMath.Foundations.NaturalNumbers]
natlehneggth [in UniMath.Foundations.NaturalNumbers]
natlehp1tolth [in UniMath.Foundations.NaturalNumbers]
natlehsntolth [in UniMath.Foundations.NaturalNumbers]
natlehtolthsn [in UniMath.Foundations.NaturalNumbers]
natleh_neq [in UniMath.Foundations.NaturalNumbers]
natlthchoice2 [in UniMath.Foundations.NaturalNumbers]
natlthchoice3 [in UniMath.Foundations.NaturalNumbers]
natlthlehtrans [in UniMath.Foundations.NaturalNumbers]
natlthp1toleh [in UniMath.Foundations.NaturalNumbers]
natlthsntoleh [in UniMath.Foundations.NaturalNumbers]
natlthtolehp1 [in UniMath.Foundations.NaturalNumbers]
natlthtolehsn [in UniMath.Foundations.NaturalNumbers]
natlthtoneq [in UniMath.Foundations.NaturalNumbers]
natltltSlt [in UniMath.Foundations.NaturalNumbers]
natltplusS [in UniMath.Foundations.NaturalNumbers]
natminusminus [in UniMath.Foundations.NaturalNumbers]
natmultassoc [in UniMath.Foundations.NaturalNumbers]
natmultcomm [in UniMath.Foundations.NaturalNumbers]
natmultl1 [in UniMath.Foundations.NaturalNumbers]
natmultn0 [in UniMath.Foundations.NaturalNumbers]
natmultr1 [in UniMath.Foundations.NaturalNumbers]
natmult0n [in UniMath.Foundations.NaturalNumbers]
natneqinjS [in UniMath.Foundations.NaturalNumbers]
natneqsx0 [in UniMath.Foundations.NaturalNumbers]
natneq_iff_neq [in UniMath.Foundations.NaturalNumbers]
natneq0sx [in UniMath.Foundations.NaturalNumbers]
natneq0togth0 [in UniMath.Foundations.NaturalNumbers]
natplusassoc [in UniMath.Foundations.NaturalNumbers]
natpluscomm [in UniMath.Foundations.NaturalNumbers]
natpluslcan [in UniMath.Foundations.NaturalNumbers]
natplusl0 [in UniMath.Foundations.NaturalNumbers]
natplusminusle [in UniMath.Foundations.NaturalNumbers]
natplusnsm [in UniMath.Foundations.NaturalNumbers]
natplusrcan [in UniMath.Foundations.NaturalNumbers]
natplusr0 [in UniMath.Foundations.NaturalNumbers]
natrdistr [in UniMath.Foundations.NaturalNumbers]
nat_split [in UniMath.Foundations.NaturalNumbers]
nat_eq_or_neq [in UniMath.Foundations.NaturalNumbers]
nat_nopath_to_neq [in UniMath.Foundations.NaturalNumbers]
nat_neq_to_nopath [in UniMath.Foundations.NaturalNumbers]
nat1gthtois0 [in UniMath.Foundations.NaturalNumbers]
negforall_to_existsneg [in UniMath.MoreFoundations.Propositions]
negforall_to_existsneg' [in UniMath.MoreFoundations.DoubleNegation]
neghexisttoforallneg [in UniMath.Foundations.Propositions]
neghfiberdi [in UniMath.Foundations.NaturalNumbers]
neghfiberii1y [in UniMath.Foundations.PartC]
neghfiberii2x [in UniMath.Foundations.PartC]
neghfibernatplusr [in UniMath.Foundations.NaturalNumbers]
negimpl_to_conj [in UniMath.MoreFoundations.Propositions]
negintersectii1ii2 [in UniMath.Foundations.PartC]
negnatgthtoleh [in UniMath.Foundations.NaturalNumbers]
negnatgth0n [in UniMath.Foundations.NaturalNumbers]
negnatgth0tois0 [in UniMath.Foundations.NaturalNumbers]
negnatlehtogth [in UniMath.Foundations.NaturalNumbers]
negnatSleh [in UniMath.Foundations.NaturalNumbers]
negpathsii1ii2 [in UniMath.Foundations.PartA]
negpathsii2ii1 [in UniMath.Foundations.PartA]
negpathssx0 [in UniMath.Foundations.NaturalNumbers]
negpaths0sx [in UniMath.Foundations.NaturalNumbers]
negProp_to_uniqueChoice [in UniMath.MoreFoundations.NegativePropositions]
negProp_to_complementary [in UniMath.MoreFoundations.NegativePropositions]
neg_isdecprop [in UniMath.MoreFoundations.DecidablePropositions]
noeqinjS [in UniMath.Foundations.NaturalNumbers]
noil1 [in UniMath.Foundations.PartC]
nopathsfalsetotrue [in UniMath.Foundations.PartA]
nopathstruetofalse [in UniMath.Foundations.PartA]
O
onefiber [in UniMath.Foundations.PartA]P
pair_falsehood [in UniMath.MoreFoundations.DecidablePropositions]pair_truth [in UniMath.MoreFoundations.DecidablePropositions]
pathscomp_inv [in UniMath.Foundations.PartA]
pathscomp_cancel_right [in UniMath.Foundations.PartA]
pathscomp_cancel_left [in UniMath.Foundations.PartA]
pathsfuntransposofnet1t2 [in UniMath.Foundations.PartC]
pathsfuntransposoft1 [in UniMath.Foundations.PartC]
pathsfuntransposoft2 [in UniMath.Foundations.PartC]
pathsinvcuntonweqoft [in UniMath.Foundations.PartD]
pathsitertoplus [in UniMath.Foundations.NaturalNumbers]
pathsrecomplfxtoy [in UniMath.Foundations.PartC]
path_to_ctr [in UniMath.Foundations.PartA]
plus_n_Sm [in UniMath.Foundations.NaturalNumbers]
pointwisefamily_isdirected [in UniMath.Algebra.DCPO]
pointwiselub_islub [in UniMath.Algebra.DCPO]
pointwiselub_isdcpomorphism' [in UniMath.Algebra.DCPO]
pointwiselub_preservesorder [in UniMath.Algebra.DCPO]
pointwiselub_islubpointwise [in UniMath.Algebra.DCPO]
posetofdcpomorphisms_isdirectedcomplete [in UniMath.Algebra.DCPO]
pred_refltrans_smallstep [in UniMath.Partiality.PCF]
preservesdirectedlub_isdcpomorphism [in UniMath.Algebra.DCPO]
proofirrelevance [in UniMath.Foundations.PartB]
proofirrelevancecontr [in UniMath.Foundations.PartA]
proof_by_contradiction [in UniMath.MoreFoundations.Propositions]
propositionalUnivalenceUAH [in UniMath.Foundations.UnivalenceAxiom]
pr1_invweq [in UniMath.Foundations.PartA]
pr1_transportf [in UniMath.MoreFoundations.PartA]
pr1_issurjective [in UniMath.MoreFoundations.AxiomOfChoice]
pr2_transportf [in UniMath.MoreFoundations.PartA]
Q
quotrelimpl [in UniMath.Foundations.Sets]quotrellogeq [in UniMath.Foundations.Sets]
R
reflect_to_refltrans [in UniMath.Partiality.PCF]refl_trans_clos_hrel_univprop [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_istrans [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_isrefl [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_extends [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_hrel_ishrel [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_univprop [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_trans [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_refl [in UniMath.MoreFoundations.ClosureOfHrel]
refl_trans_clos_extends [in UniMath.MoreFoundations.ClosureOfHrel]
remakeweq [in UniMath.Foundations.PartA]
remakeweqboth [in UniMath.Foundations.PartA]
remakeweqboth_eq' [in UniMath.Foundations.PartA]
remakeweqboth_eq [in UniMath.Foundations.PartA]
remakeweqinv [in UniMath.Foundations.PartA]
remakeweqinv_eq' [in UniMath.Foundations.PartA]
remakeweqinv_eq [in UniMath.Foundations.PartA]
remakeweq_eq' [in UniMath.Foundations.PartA]
remakeweq_eq [in UniMath.Foundations.PartA]
retract_dec [in UniMath.MoreFoundations.DecidablePropositions]
reversal_LEM [in UniMath.MoreFoundations.DecidablePropositions]
rtoneq [in UniMath.Foundations.Sets]
S
samehfibers [in UniMath.Foundations.PartB]SetCovering [in UniMath.MoreFoundations.AxiomOfChoice]
setquotbooleqintcomp [in UniMath.Foundations.Sets]
setquotbooleqtopaths [in UniMath.Foundations.Sets]
setquotfun2comm [in UniMath.Foundations.Sets]
setquotfun2_iscomprelfun2 [in UniMath.Foundations.Sets]
setquotl0 [in UniMath.Foundations.Sets]
setquotpathstobooleq [in UniMath.Foundations.Sets]
setquotpr [in UniMath.Foundations.Sets]
setquotuniv [in UniMath.Foundations.Sets]
setquotunivcomm [in UniMath.Foundations.Sets]
setquotunivprop [in UniMath.Foundations.Sets]
setquotunivprop' [in UniMath.MoreFoundations.Sets]
setquotuniv2comm [in UniMath.Foundations.Sets]
setquotuniv2prop [in UniMath.Foundations.Sets]
setquotuniv2prop' [in UniMath.MoreFoundations.Sets]
setquotuniv2_iscomprelfun [in UniMath.Foundations.Sets]
setquotuniv3prop [in UniMath.Foundations.Sets]
setquotuniv3prop' [in UniMath.MoreFoundations.Sets]
setquotuniv4prop [in UniMath.Foundations.Sets]
setquotuniv4prop' [in UniMath.MoreFoundations.Sets]
setquot2univcomm [in UniMath.Foundations.Sets]
set_bijection_to_weq [in UniMath.Foundations.PartB]
soundness [in UniMath.Partiality.PCF]
squash_rec [in UniMath.MoreFoundations.Propositions]
squash_to_hProp [in UniMath.MoreFoundations.Propositions]
squash_to_prop [in UniMath.Foundations.Propositions]
Struc_univalence [in UniMath.MoreFoundations.StructureIdentity]
subtypeEquality [in UniMath.Foundations.PartB]
subtypeEquality_prop [in UniMath.Foundations.Propositions]
subtypeEquality' [in UniMath.Foundations.PartB]
subtypeInjectivity [in UniMath.Foundations.PartB]
subtypeInjectivity_prop [in UniMath.Foundations.Propositions]
subtype_deceq [in UniMath.MoreFoundations.Subtypes]
subtype_inc_comp [in UniMath.MoreFoundations.Subtypes]
subtype_containment_isPartialOrder [in UniMath.MoreFoundations.Subtypes]
subtype_equal_cond [in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_from_negEqual [in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_to_negEqual [in UniMath.MoreFoundations.Subtypes]
subtype_notEqual_containedIn [in UniMath.MoreFoundations.Subtypes]
succ_refltrans_smallstep [in UniMath.Partiality.PCF]
surjectionisepitosets [in UniMath.Foundations.Sets]
surjective_iscontr_im [in UniMath.Foundations.Sets]
T
toforallpaths_funextsec [in UniMath.MoreFoundations.Univalence]toforallpaths_induction [in UniMath.Foundations.UnivalenceAxiom]
tonegcoprod [in UniMath.Foundations.Propositions]
tonegdirprod [in UniMath.Foundations.Propositions]
toneghdisj [in UniMath.Foundations.Propositions]
total2asstol [in UniMath.Foundations.PartA]
total2asstor [in UniMath.Foundations.PartA]
total2_paths_equiv [in UniMath.Foundations.PartA]
total2_section_path [in UniMath.Foundations.PartA]
total2_fiber_paths [in UniMath.Foundations.PartA]
total2_paths2_b [in UniMath.Foundations.PartA]
total2_paths2_f [in UniMath.Foundations.PartA]
total2_paths2 [in UniMath.Foundations.PartA]
total2_paths_b [in UniMath.Foundations.PartA]
total2_paths_f [in UniMath.Foundations.PartA]
total2_paths_hProp_equiv [in UniMath.Foundations.Propositions]
total2_paths_equiv'_compute [in UniMath.MoreFoundations.AlternativeProofs]
total2_paths_equiv' [in UniMath.MoreFoundations.AlternativeProofs]
transportb_fun' [in UniMath.Foundations.PartA]
transportf_fiber_total2_paths [in UniMath.Foundations.PartA]
transportf_paths [in UniMath.Foundations.PartA]
transportf_pair [in UniMath.MoreFoundations.PartA]
transportf_set [in UniMath.MoreFoundations.PartA]
transportf_comp_lemma_hset [in UniMath.MoreFoundations.PartA]
transportf_comp_lemma [in UniMath.MoreFoundations.PartA]
transportf_transpose [in UniMath.MoreFoundations.PartA]
transposhfpsqstr [in UniMath.Foundations.PartA]
twooutofsixu [in UniMath.Foundations.PartA]
twooutofsixv [in UniMath.Foundations.PartA]
twooutofsixw [in UniMath.Foundations.PartA]
twooutof3a [in UniMath.Foundations.PartA]
twooutof3b [in UniMath.Foundations.PartA]
twooutof3c [in UniMath.Foundations.PartA]
twooutof3c_iff_2_homot [in UniMath.Foundations.PartA]
twooutof3c_iff_1_homot [in UniMath.Foundations.PartA]
twooutof3c_iff_1 [in UniMath.Foundations.PartA]
twooutof3c_iff_2 [in UniMath.Foundations.PartA]
two_arg_paths_b [in UniMath.Foundations.PartA]
two_arg_paths_f [in UniMath.Foundations.PartA]
two_arg_paths [in UniMath.Foundations.PartA]
U
UA_for_HLevels [in UniMath.Foundations.HLevels]UA_for_Predicates [in UniMath.Foundations.HLevels]
uip [in UniMath.Foundations.PartB]
uncurry_curry [in UniMath.Foundations.PartA]
UniqueConstruction_to_weq [in UniMath.Foundations.PartA]
unique_exists [in UniMath.Foundations.PartB]
unitl0 [in UniMath.Foundations.PartA]
unitl1 [in UniMath.Foundations.PartA]
unitl2 [in UniMath.Foundations.PartA]
unitl3 [in UniMath.Foundations.PartA]
univalenceUAH [in UniMath.Foundations.UnivalenceAxiom]
univfromtwoaxioms [in UniMath.Foundations.UnivalenceAxiom]
univfromtwoaxiomshProp [in UniMath.Foundations.Propositions]
univ_surj_unique [in UniMath.Foundations.Sets]
univ_surj_ax [in UniMath.Foundations.Sets]
UU_rect [in UniMath.Foundations.UnivalenceAxiom]
W
weaklyconstanttoaset_haspropimage [in UniMath.MoreFoundations.WeaklyConstant]weak_fromnegdirprod [in UniMath.Foundations.Propositions]
weqbweq [in UniMath.Foundations.PartD]
weqdicompl [in UniMath.MoreFoundations.NegativePropositions]
weqfunfromcoprodtoprod [in UniMath.Foundations.PartD]
weqfuntoprodtoprod [in UniMath.Foundations.PartD]
weqfweq [in UniMath.Foundations.PartD]
weqhfibercoprodf1 [in UniMath.Foundations.PartC]
weqhfibercoprodf2 [in UniMath.Foundations.PartC]
weqhfibernoi1 [in UniMath.Foundations.PartC]
weqhfibernoi2 [in UniMath.Foundations.PartC]
weqhfibersgwtog [in UniMath.Foundations.PartA]
weqhfibershomot [in UniMath.Foundations.PartA]
weqhfibersofsumofmaps [in UniMath.Foundations.PartC]
weqhfibertobhfiber [in UniMath.Foundations.PartC]
weqhfibertocontr [in UniMath.Foundations.PartB]
weqhfibertohfp [in UniMath.Foundations.PartA]
weqhfibertounit [in UniMath.Foundations.PartB]
weqhfpcomm [in UniMath.Foundations.PartA]
weqhomot [in UniMath.MoreFoundations.PartA]
weqinvweq [in UniMath.Foundations.PartD]
weqishinhnegtoneg [in UniMath.Foundations.Propositions]
weqnegtonegishinh [in UniMath.Foundations.Propositions]
weqpathsinsetquot [in UniMath.Foundations.Sets]
weqpathsinsetquot2 [in UniMath.Foundations.Sets]
weqpathssetquot2l1 [in UniMath.Foundations.Sets]
weqsetquottodirprod [in UniMath.Foundations.Sets]
weqsubsetsplit [in UniMath.Foundations.PartB]
weqsubtypesdirprod [in UniMath.Foundations.Sets]
weqtotal2 [in UniMath.MoreFoundations.PartA]
weqtotal2asstor [in UniMath.Foundations.PartA]
weqtotal2overcoprod [in UniMath.Foundations.PartA]
weqtotal2overunit [in UniMath.Foundations.PartA]
weqtransportbUAH [in UniMath.Foundations.UnivalenceAxiom]
weqtranspos [in UniMath.Foundations.PartC]
weqweq [in UniMath.Foundations.PartD]
weq1 [in UniMath.Foundations.HLevels]
weq2 [in UniMath.Foundations.HLevels]
wma_decidable [in UniMath.MoreFoundations.DoubleNegation]
wma_dneg [in UniMath.MoreFoundations.DoubleNegation]
Constructor Index
A
app [in UniMath.Partiality.PCF]appstep [in UniMath.Partiality.PCF]
B
base [in UniMath.Partiality.PCF]base_step [in UniMath.MoreFoundations.ClosureOfHrel]
F
false [in UniMath.Foundations.Preamble]fixp [in UniMath.Partiality.PCF]
fixpstep [in UniMath.Partiality.PCF]
functional [in UniMath.Partiality.PCF]
I
ifz [in UniMath.Partiality.PCF]ifzargstep [in UniMath.Partiality.PCF]
ifzsuccstep [in UniMath.Partiality.PCF]
ifzzerostep [in UniMath.Partiality.PCF]
ii1 [in UniMath.Foundations.Preamble]
ii2 [in UniMath.Foundations.Preamble]
indexedsup [in UniMath.MoreFoundations.Wtypes]
L
leftstep [in UniMath.MoreFoundations.ClosureOfHrel]O
O [in UniMath.Foundations.Preamble]P
paths_refl [in UniMath.Foundations.Preamble]pred [in UniMath.Partiality.PCF]
predargstep [in UniMath.Partiality.PCF]
predsuccstep [in UniMath.Partiality.PCF]
predzerostep [in UniMath.Partiality.PCF]
R
reflstep' [in UniMath.MoreFoundations.ClosureOfHrel]refl_step [in UniMath.MoreFoundations.ClosureOfHrel]
S
S [in UniMath.Foundations.Preamble]succ [in UniMath.Partiality.PCF]
succargstep [in UniMath.Partiality.PCF]
T
tpair [in UniMath.Foundations.Preamble]trans_step [in UniMath.MoreFoundations.ClosureOfHrel]
true [in UniMath.Foundations.Preamble]
tt [in UniMath.Foundations.Preamble]
Z
zero [in UniMath.Partiality.PCF]other
𝓀 [in UniMath.Partiality.PCF]𝓀step [in UniMath.Partiality.PCF]
𝓈 [in UniMath.Partiality.PCF]
𝓈step [in UniMath.Partiality.PCF]
Axiom Index
F
funcontrAxiom [in UniMath.Foundations.UnivalenceAxiom]funextcontrAxiom [in UniMath.Foundations.UnivalenceAxiom]
funextemptyAxiom [in UniMath.Foundations.UnivalenceAxiom]
I
isweqtoforallpathsAxiom [in UniMath.Foundations.UnivalenceAxiom]P
propositionalUnivalenceAxiom [in UniMath.Foundations.UnivalenceAxiom]U
univalenceAxiom [in UniMath.Foundations.UnivalenceAxiom]Inductive Index
B
bool [in UniMath.Foundations.Preamble]C
coprod [in UniMath.Foundations.Preamble]E
empty [in UniMath.Foundations.Preamble]I
indexedWtype [in UniMath.MoreFoundations.Wtypes]N
nat [in UniMath.Foundations.Preamble]P
paths [in UniMath.Foundations.Preamble]R
refltransclos_left [in UniMath.MoreFoundations.ClosureOfHrel]refl_trans_clos [in UniMath.MoreFoundations.ClosureOfHrel]
S
smallstep' [in UniMath.Partiality.PCF]T
term [in UniMath.Partiality.PCF]type [in UniMath.Partiality.PCF]
U
unit [in UniMath.Foundations.Preamble]Projection Index
P
pr1 [in UniMath.Foundations.Preamble]pr2 [in UniMath.Foundations.Preamble]
Section Index
A
adequacy [in UniMath.Partiality.PCF]D
dcpo [in UniMath.Algebra.DCPO]dcpowithbottom [in UniMath.Algebra.DCPO]
deceq_indexedWtypes [in UniMath.MoreFoundations.Wtypes]
decidable [in UniMath.MoreFoundations.Wtypes]
decidable_step_refltrans [in UniMath.MoreFoundations.ClosureOfHrel]
denotationalsemantics [in UniMath.Partiality.PCF]
directedfamily [in UniMath.Algebra.DCPO]
H
hProp_logic [in UniMath.MoreFoundations.Propositions]L
leastfixedpoint [in UniMath.Algebra.DCPO]leastupperbound [in UniMath.Algebra.DCPO]
lift [in UniMath.Partiality.PartialElements]
liftdcpo [in UniMath.Partiality.PartialElements]
liftmonad [in UniMath.Partiality.LiftMonad]
liftmonaddcpo [in UniMath.Partiality.LiftMonad]
liftorder [in UniMath.Partiality.PartialElements]
LiftSurjection [in UniMath.Foundations.Sets]
M
morphismofdcpos [in UniMath.Algebra.DCPO]morphismsofdcpos_formdcpo [in UniMath.Algebra.DCPO]
O
operationalsemantics [in UniMath.Partiality.PCF]P
pcf [in UniMath.Partiality.PCF]pcf_propositions [in UniMath.Partiality.PCF]
picompact [in UniMath.MoreFoundations.Wtypes]
R
reflexive_transitive_closure_hrel [in UniMath.MoreFoundations.ClosureOfHrel]S
soundness [in UniMath.Partiality.PCF]step_reflexive_transitive_closure_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
StructureIdentity [in UniMath.MoreFoundations.StructureIdentity]
U
UnivalenceImplications [in UniMath.Foundations.UnivalenceAxiom]Abbreviation Index
F
flip [in UniMath.MoreFoundations.PartA]H
hinhprinv [in UniMath.Foundations.Propositions]I
idpath [in UniMath.Foundations.Preamble]inl [in UniMath.Foundations.Preamble]
inr [in UniMath.Foundations.Preamble]
isasetdirprod [in UniMath.Foundations.PartB]
issurjtwooutof3c [in UniMath.Foundations.Propositions]
N
negnatgthnn [in UniMath.Foundations.NaturalNumbers]negnatlthnn [in UniMath.Foundations.NaturalNumbers]
nonempty [in UniMath.Foundations.Propositions]
Definition Index
A
add [in UniMath.Foundations.Preamble]adequacy_alt_statement [in UniMath.Partiality.PCF]
adequacy_statement [in UniMath.Partiality.PCF]
adequacy_allterms [in UniMath.Partiality.PCF]
adequacy_fixp [in UniMath.Partiality.PCF]
adequacy_lubs [in UniMath.Partiality.PCF]
adequacy_s [in UniMath.Partiality.PCF]
adequacy_k [in UniMath.Partiality.PCF]
adequacy_ifz [in UniMath.Partiality.PCF]
adequacy_pred [in UniMath.Partiality.PCF]
adequacy_succ [in UniMath.Partiality.PCF]
adequacy_zero [in UniMath.Partiality.PCF]
adequacy_step [in UniMath.Partiality.PCF]
adequacy_bottom [in UniMath.Partiality.PCF]
adequacy_relation [in UniMath.Partiality.PCF]
adjev [in UniMath.Foundations.PartA]
adjev2 [in UniMath.Foundations.PartA]
AxiomOfChoice [in UniMath.MoreFoundations.AxiomOfChoice]
AxiomOfChoice_surj [in UniMath.MoreFoundations.AxiomOfChoice]
AxiomOfDecidableChoice [in UniMath.MoreFoundations.AxiomOfChoice]
B
bandfmap [in UniMath.Foundations.PartA]bhfiber [in UniMath.Foundations.PartC]
binop [in UniMath.Foundations.PartA]
boolascoprod [in UniMath.Foundations.PartA]
boolchoice [in UniMath.Foundations.PartA]
booleq [in UniMath.Foundations.PartB]
boolset [in UniMath.Foundations.Sets]
boolsumfun [in UniMath.Foundations.PartA]
boolsumtocoprod [in UniMath.Foundations.PartA]
bool_to_type [in UniMath.Foundations.PartA]
brel [in UniMath.Foundations.Sets]
breltodecrel [in UniMath.Foundations.Sets]
C
carrier [in UniMath.Foundations.Sets]carrierofPartialOrder [in UniMath.Foundations.Sets]
carrierofpo [in UniMath.Foundations.Sets]
carrierofposet [in UniMath.Foundations.Sets]
carrierofposetmorphism [in UniMath.Foundations.Sets]
carrierofPreorderedSet [in UniMath.Foundations.Sets]
carrierpair [in UniMath.Foundations.Sets]
carrier_set [in UniMath.MoreFoundations.Subtypes]
carrier_subset [in UniMath.Foundations.Sets]
char_pcf_propositions' [in UniMath.Partiality.PCF]
char_pcf_propositions [in UniMath.Partiality.PCF]
choice [in UniMath.MoreFoundations.DecidablePropositions]
choice_compute_no [in UniMath.MoreFoundations.DecidablePropositions]
choice_compute_yes [in UniMath.MoreFoundations.DecidablePropositions]
chooser [in UniMath.MoreFoundations.DecidablePropositions]
coconusf [in UniMath.Foundations.PartA]
coconusfromt [in UniMath.Foundations.PartA]
coconusfromtpair [in UniMath.Foundations.PartA]
coconusfromtpr1 [in UniMath.Foundations.PartA]
coconustot [in UniMath.Foundations.PartA]
coconustotpair [in UniMath.Foundations.PartA]
coconustotpr1 [in UniMath.Foundations.PartA]
commhfp [in UniMath.Foundations.PartA]
commsqstr [in UniMath.Foundations.PartA]
commsqZtohfp [in UniMath.Foundations.PartA]
commsqZtohfphomot [in UniMath.Foundations.PartA]
commsqZtohfphomot' [in UniMath.Foundations.PartA]
compevmapset [in UniMath.Foundations.Sets]
compfun [in UniMath.Foundations.Sets]
compfuncomp [in UniMath.Foundations.Sets]
compfunpair [in UniMath.Foundations.Sets]
compl [in UniMath.Foundations.PartC]
complementary [in UniMath.Foundations.PartB]
ComplementaryPair [in UniMath.MoreFoundations.DecidablePropositions]
complementary_to_neg_iff [in UniMath.Foundations.PartB]
complpair [in UniMath.Foundations.PartC]
complxstr [in UniMath.Foundations.PartA]
compl_ne_pair [in UniMath.MoreFoundations.NegativePropositions]
compl_ne [in UniMath.MoreFoundations.NegativePropositions]
confirm_not_equal [in UniMath.Foundations.Sets]
confirm_equal [in UniMath.Foundations.Sets]
consecutive [in UniMath.Foundations.Sets]
constr1 [in UniMath.Foundations.PartA]
coprodasstol [in UniMath.Foundations.PartA]
coprodasstor [in UniMath.Foundations.PartA]
coprodcomm [in UniMath.Foundations.PartA]
coprodf [in UniMath.Foundations.PartA]
coprodf1 [in UniMath.Foundations.PartA]
coprodf2 [in UniMath.Foundations.PartA]
coprodtobool [in UniMath.Foundations.PartA]
coprodtoboolsum [in UniMath.Foundations.PartA]
coprod_rect_compute_2 [in UniMath.MoreFoundations.PartA]
coprod_rect_compute_1 [in UniMath.MoreFoundations.PartA]
ctlong [in UniMath.Foundations.Sets]
curry [in UniMath.Foundations.PartA]
cutonweq [in UniMath.Foundations.PartD]
D
DataEquiv [in UniMath.MoreFoundations.StructureIdentity]dcpo [in UniMath.Algebra.DCPO]
dcpoisdirectedcomplete [in UniMath.Algebra.DCPO]
dcpomorphism [in UniMath.Algebra.DCPO]
dcpomorphism_posetmorphism [in UniMath.Algebra.DCPO]
dcpoofdcpomorphisms [in UniMath.Algebra.DCPO]
dcpopair [in UniMath.Algebra.DCPO]
dcpoposet [in UniMath.Algebra.DCPO]
dcpowithbottom [in UniMath.Algebra.DCPO]
dcpowithbottom_ofdcpomorphisms [in UniMath.Algebra.DCPO]
dcpowithbottom_bottom [in UniMath.Algebra.DCPO]
dcpowithbottom_isMinimal [in UniMath.Algebra.DCPO]
dcpowithbottom_dcpo [in UniMath.Algebra.DCPO]
dcpo_mklub_islub [in UniMath.Algebra.DCPO]
dcpo_mklub [in UniMath.Algebra.DCPO]
ddualand [in UniMath.Foundations.PartA]
deceq_to_decrel [in UniMath.Foundations.Sets]
decfun1 [in UniMath.Foundations.PartB]
decfun2 [in UniMath.Foundations.PartB]
decfun3 [in UniMath.Foundations.PartB]
decidabilityProperty [in UniMath.MoreFoundations.DecidablePropositions]
decidable [in UniMath.Foundations.PartB]
decidableAnd [in UniMath.MoreFoundations.DecidablePropositions]
decidableNot [in UniMath.MoreFoundations.DecidablePropositions]
decidableOr [in UniMath.MoreFoundations.DecidablePropositions]
DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
DecidableProposition_to_hProp [in UniMath.MoreFoundations.DecidablePropositions]
DecidableProposition_to_isdecprop [in UniMath.MoreFoundations.DecidablePropositions]
DecidableRelation [in UniMath.MoreFoundations.DecidablePropositions]
DecidableRelation_to_hrel [in UniMath.MoreFoundations.DecidablePropositions]
DecidableSubtype [in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier [in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier_weq [in UniMath.MoreFoundations.DecidablePropositions]
decidableSubtypeCarrier' [in UniMath.MoreFoundations.DecidablePropositions]
DecidableSubtype_to_hsubtype [in UniMath.MoreFoundations.DecidablePropositions]
decidable_to_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
decidable_to_isdecprop_2 [in UniMath.MoreFoundations.DecidablePropositions]
decidable_to_isdecprop [in UniMath.MoreFoundations.DecidablePropositions]
decidable_prop [in UniMath.MoreFoundations.DecidablePropositions]
decidable_step [in UniMath.MoreFoundations.ClosureOfHrel]
decidable_dirprod [in UniMath.Foundations.PartB]
decidable_to_complementary [in UniMath.Foundations.PartB]
decidable_iff [in UniMath.MoreFoundations.Wtypes]
decquotrel [in UniMath.Foundations.Sets]
decrel [in UniMath.Foundations.Sets]
decrelpair [in UniMath.Foundations.Sets]
decreltobrel [in UniMath.Foundations.Sets]
decrel_to_DecidableRelation [in UniMath.MoreFoundations.DecidablePropositions]
dec_depeq [in UniMath.MoreFoundations.Wtypes]
deltap [in UniMath.Foundations.PartA]
denotational_semantics_terms [in UniMath.Partiality.PCF]
denotational_semantics_type [in UniMath.Partiality.PCF]
dependent_choice [in UniMath.MoreFoundations.DecidablePropositions]
di [in UniMath.Foundations.NaturalNumbers]
directeduntruncated [in UniMath.Algebra.DCPO]
dirprod [in UniMath.Foundations.PartA]
dirprodadj [in UniMath.Foundations.PartA]
dirprodf [in UniMath.Foundations.PartA]
dirprodpair [in UniMath.Foundations.PartA]
dirprodtosetquot [in UniMath.Foundations.Sets]
dirprod_pr2 [in UniMath.Foundations.PartA]
dirprod_pr1 [in UniMath.Foundations.PartA]
dirprod_hSet [in UniMath.Foundations.Sets]
dneg [in UniMath.Foundations.PartA]
dneganddnegimpldneg [in UniMath.Foundations.PartA]
dnegelim [in UniMath.MoreFoundations.DecidablePropositions]
dnegf [in UniMath.Foundations.PartA]
dnegnegtoneg [in UniMath.Foundations.PartA]
d1 [in UniMath.Foundations.PartA]
d1g [in UniMath.Foundations.PartA]
d2 [in UniMath.Foundations.PartA]
d2g [in UniMath.Foundations.PartA]
d3g [in UniMath.Foundations.PartA]
E
eqax0 [in UniMath.Foundations.Sets]eqax1 [in UniMath.Foundations.Sets]
eqax2 [in UniMath.Foundations.Sets]
eqbx [in UniMath.Foundations.PartC]
eqh [in UniMath.Foundations.Sets]
eqrel [in UniMath.Foundations.Sets]
eqrelconstr [in UniMath.Foundations.Sets]
eqreldirprod [in UniMath.Foundations.Sets]
eqrelpair [in UniMath.Foundations.Sets]
eqrelrefl [in UniMath.Foundations.Sets]
eqrelsymm [in UniMath.Foundations.Sets]
eqreltrans [in UniMath.Foundations.Sets]
eqrel_on_bool [in UniMath.MoreFoundations.AxiomOfChoice]
eqset [in UniMath.Foundations.Sets]
eqset_to_path [in UniMath.MoreFoundations.Sets]
eqtohomot [in UniMath.Foundations.PartA]
equality_by_case [in UniMath.Foundations.PartA]
equality_cases [in UniMath.Foundations.PartA]
eqweqmap [in UniMath.Foundations.UnivalenceAxiom]
eqweqmaphProp [in UniMath.Foundations.Propositions]
eta_extension [in UniMath.Partiality.LiftMonad]
extension_comp [in UniMath.Partiality.LiftMonad]
ezmap [in UniMath.Foundations.PartA]
ezmaphf [in UniMath.Foundations.PartA]
ezmappr1 [in UniMath.Foundations.PartA]
ezmap1 [in UniMath.Foundations.PartA]
ezweq [in UniMath.Foundations.PartA]
ezweqg [in UniMath.Foundations.PartA]
ezweqhf [in UniMath.Foundations.PartA]
ezweqpr1 [in UniMath.Foundations.PartA]
ezweq1 [in UniMath.Foundations.PartA]
ezweq1g [in UniMath.Foundations.PartA]
ezweq1pr1 [in UniMath.Foundations.PartA]
ezweq2 [in UniMath.Foundations.PartA]
ezweq2g [in UniMath.Foundations.PartA]
ezweq3g [in UniMath.Foundations.PartA]
F
factorial [in UniMath.Foundations.NaturalNumbers]falsetonegtrue [in UniMath.Foundations.PartA]
falseWitness [in UniMath.MoreFoundations.DecidablePropositions]
famhomotfun [in UniMath.Foundations.PartA]
famhomothomothomot [in UniMath.Foundations.PartA]
ffgg [in UniMath.Foundations.PartA]
fiber_paths [in UniMath.Foundations.PartA]
fibseqg [in UniMath.Foundations.PartA]
fibseqhf [in UniMath.Foundations.PartA]
fibseqpr1 [in UniMath.Foundations.PartA]
fibseqstr [in UniMath.Foundations.PartA]
fibseqstrpair [in UniMath.Foundations.PartA]
fibseqstrtocomplxstr [in UniMath.Foundations.PartA]
fibseq1 [in UniMath.Foundations.PartA]
fibseq1g [in UniMath.Foundations.PartA]
fibseq2 [in UniMath.Foundations.PartA]
fibseq2g [in UniMath.Foundations.PartA]
fibseq3g [in UniMath.Foundations.PartA]
flipsec [in UniMath.MoreFoundations.PartA]
flipsec_weq [in UniMath.MoreFoundations.PartA]
foralltohfiber [in UniMath.Foundations.PartD]
foralltototal [in UniMath.Foundations.PartD]
forall_hProp [in UniMath.Foundations.Propositions]
forall_hSet [in UniMath.Foundations.Sets]
fpmap [in UniMath.Foundations.PartA]
fromcoconusf [in UniMath.Foundations.PartA]
fromcompltodisjoint [in UniMath.Foundations.PartC]
fromcompltoii1x [in UniMath.Foundations.PartC]
fromcompltoii2y [in UniMath.Foundations.PartC]
fromdsubtypesdirprodcarrier [in UniMath.Foundations.Sets]
fromempty [in UniMath.Foundations.PartA]
fromsubquot [in UniMath.Foundations.Sets]
fromtotal2overcoprod [in UniMath.Foundations.PartA]
fromtotal2overunit [in UniMath.Foundations.PartA]
funcomp [in UniMath.Foundations.PartA]
funcontr [in UniMath.Foundations.UnivalenceAxiom]
funcontrFromUnivalence [in UniMath.Foundations.UnivalenceAxiom]
funcontrStatement [in UniMath.Foundations.UnivalenceAxiom]
funextcontr [in UniMath.Foundations.UnivalenceAxiom]
funextcontrStatement [in UniMath.Foundations.UnivalenceAxiom]
funextcontrStatementFromUnivalence [in UniMath.Foundations.UnivalenceAxiom]
funextempty [in UniMath.Foundations.UnivalenceAxiom]
funextemptyFromUnivalence [in UniMath.Foundations.UnivalenceAxiom]
funextemptyStatement [in UniMath.Foundations.UnivalenceAxiom]
funextfun [in UniMath.Foundations.UnivalenceAxiom]
funextfunStatement [in UniMath.Foundations.UnivalenceAxiom]
funextsec [in UniMath.Foundations.UnivalenceAxiom]
funextsecStatement [in UniMath.Foundations.UnivalenceAxiom]
funextsecweqFromUnivalence [in UniMath.Foundations.UnivalenceAxiom]
funfromcoprodtoprod [in UniMath.Foundations.PartD]
funhomot [in UniMath.Foundations.PartA]
funhomotsec [in UniMath.Foundations.PartA]
funtoprodtoprod [in UniMath.Foundations.PartD]
funtranspos [in UniMath.Foundations.PartC]
funtranspos0 [in UniMath.Foundations.PartC]
fun_extension_after_eta [in UniMath.Partiality.LiftMonad]
G
getfib [in UniMath.MoreFoundations.Wtypes]getfib_transport [in UniMath.MoreFoundations.Wtypes]
gradth [in UniMath.Foundations.PartA]
H
hconj [in UniMath.Foundations.Propositions]hdisj [in UniMath.Foundations.Propositions]
hdisj_in2 [in UniMath.Foundations.Propositions]
hdisj_in1 [in UniMath.Foundations.Propositions]
hequiv [in UniMath.MoreFoundations.Notations]
hexists [in UniMath.Foundations.Propositions]
hfalse [in UniMath.Foundations.Propositions]
hffpmap2 [in UniMath.Foundations.PartA]
hfiber [in UniMath.Foundations.PartA]
hfiberfpmap [in UniMath.Foundations.PartA]
hfiberpair [in UniMath.Foundations.PartA]
hfiberpr1 [in UniMath.Foundations.PartA]
hfiberpr2 [in UniMath.Foundations.PartA]
hfibersftogf [in UniMath.Foundations.PartA]
hfibersgftog [in UniMath.Foundations.PartA]
hfibersgtof' [in UniMath.Foundations.PartA]
hfibersg'tof [in UniMath.Foundations.PartA]
hfibertoforall [in UniMath.Foundations.PartD]
hfibertohfp [in UniMath.Foundations.PartA]
hfibertosec [in UniMath.Foundations.UnivalenceAxiom]
hfiber_comm [in UniMath.Foundations.PartA]
hfiber_hSet [in UniMath.Foundations.Sets]
hfp [in UniMath.Foundations.PartA]
hfpg [in UniMath.Foundations.PartA]
hfpg' [in UniMath.Foundations.PartA]
hfpoverX [in UniMath.Foundations.PartA]
hfpoverX' [in UniMath.Foundations.PartA]
hfptohfiber [in UniMath.Foundations.PartA]
hfp_right [in UniMath.Foundations.PartA]
hfsqstr [in UniMath.Foundations.PartA]
hfsqstrpair [in UniMath.Foundations.PartA]
hfsqstrtocommsqstr [in UniMath.Foundations.PartA]
himpl [in UniMath.Foundations.Propositions]
hinhand [in UniMath.Foundations.Propositions]
hinhfun [in UniMath.Foundations.Propositions]
hinhfun2 [in UniMath.Foundations.Propositions]
hinhimplinhdneg [in UniMath.Foundations.Propositions]
hinhpr [in UniMath.Foundations.Propositions]
hinhuniv [in UniMath.Foundations.Propositions]
hinhunivcor1 [in UniMath.Foundations.Propositions]
hinhuniv2 [in UniMath.Foundations.Propositions]
HLevel [in UniMath.Foundations.HLevels]
hneg [in UniMath.Foundations.Propositions]
homot [in UniMath.Foundations.PartA]
homotcomp [in UniMath.Foundations.PartA]
homotcoprodfcomp [in UniMath.Foundations.PartA]
homotcoprodfhomot [in UniMath.Foundations.PartA]
homotffggid [in UniMath.Foundations.PartA]
homotfun [in UniMath.Foundations.PartA]
homothfiberretr [in UniMath.Foundations.PartA]
homothfiber1 [in UniMath.Foundations.PartA]
homothfiber2 [in UniMath.Foundations.PartA]
homotinvweqweq [in UniMath.Foundations.PartA]
homotinvweqweq0 [in UniMath.Foundations.PartA]
homotrecomplfcomp [in UniMath.Foundations.PartC]
homotrecomplfhomot [in UniMath.Foundations.PartC]
homotrecomplfidfun [in UniMath.Foundations.PartC]
homotrefl [in UniMath.Foundations.PartA]
homottranspost2t1t1t2 [in UniMath.Foundations.PartC]
homottranspos0t2t1t1t2 [in UniMath.Foundations.PartC]
homotweqinvweq [in UniMath.Foundations.PartA]
homotweqinvweqweq [in UniMath.Foundations.PartA]
homotweqoncomplcomp [in UniMath.Foundations.PartC]
hProp [in UniMath.Foundations.Propositions]
hProppair [in UniMath.Foundations.Propositions]
hPropset [in UniMath.Foundations.Sets]
hProptoType [in UniMath.Foundations.Propositions]
hProp_set [in UniMath.MoreFoundations.Sets]
hProp_to_hSet [in UniMath.Foundations.Sets]
hrel [in UniMath.Foundations.Sets]
hreldirprod [in UniMath.Foundations.Sets]
hrellogeq [in UniMath.Foundations.Sets]
hrel_set [in UniMath.MoreFoundations.Propositions]
hSet [in UniMath.Foundations.Sets]
hSetpair [in UniMath.Foundations.Sets]
hSet_univalence_map [in UniMath.Foundations.Sets]
hsubtype [in UniMath.Foundations.Sets]
htrue [in UniMath.Foundations.Propositions]
I
identityPosetEquivalence [in UniMath.Foundations.Sets]idfun [in UniMath.Foundations.PartA]
idpath_transportf [in UniMath.Foundations.PartA]
idweq [in UniMath.Foundations.PartA]
ifz' [in UniMath.Partiality.PCF]
image [in UniMath.Foundations.Propositions]
imagepair [in UniMath.Foundations.Propositions]
incl [in UniMath.Foundations.PartB]
inclcomp [in UniMath.Foundations.PartB]
inclpair [in UniMath.Foundations.PartB]
indexedWtype_deceq' [in UniMath.MoreFoundations.Wtypes]
indexedWtype_deceq [in UniMath.MoreFoundations.Wtypes]
indexedWtype_deceq_transport [in UniMath.MoreFoundations.Wtypes]
inequality_to_isolation [in UniMath.MoreFoundations.DecidablePropositions]
inhdnegand [in UniMath.Foundations.Propositions]
inhdnegfun [in UniMath.Foundations.Propositions]
inhdnegpr [in UniMath.Foundations.Propositions]
inhdneguniv [in UniMath.Foundations.Propositions]
Injectivity [in UniMath.Foundations.PartB]
invcutonweq [in UniMath.Foundations.PartD]
invezmaphf [in UniMath.Foundations.PartA]
invezmappr1 [in UniMath.Foundations.PartA]
invezmap1 [in UniMath.Foundations.PartA]
invhomot [in UniMath.Foundations.PartA]
invimpl [in UniMath.Foundations.PartC]
invmap [in UniMath.Foundations.PartA]
invmaponpathsincl [in UniMath.Foundations.PartB]
invmaponpathsweq [in UniMath.Foundations.PartA]
invmaponpathsweqid [in UniMath.Foundations.PartA]
invmapweqcomp [in UniMath.Foundations.PartD]
invmap_weqcomp_expand [in UniMath.Foundations.PartA]
invrecompl [in UniMath.Foundations.PartC]
invrecompl_ne [in UniMath.MoreFoundations.NegativePropositions]
invweq [in UniMath.Foundations.PartA]
invweqcomp [in UniMath.Foundations.PartD]
inv_equality_by_case [in UniMath.Foundations.PartA]
isaninvprop [in UniMath.Foundations.PartC]
isantisymm [in UniMath.Foundations.Sets]
isantisymmlogeqf [in UniMath.Foundations.Sets]
isantisymmnatgeh [in UniMath.Foundations.NaturalNumbers]
isantisymmnatleh [in UniMath.Foundations.NaturalNumbers]
isantisymmneg [in UniMath.Foundations.Sets]
isantisymmneglogeqf [in UniMath.Foundations.Sets]
isantisymmnegnattth [in UniMath.Foundations.NaturalNumbers]
isantisymmnegresrel [in UniMath.Foundations.Sets]
isantisymmresrel [in UniMath.Foundations.Sets]
isaposetmorphism [in UniMath.Foundations.Sets]
isaprop [in UniMath.Foundations.PartB]
isapropdirprod [in UniMath.Foundations.PartB]
isapropinclb [in UniMath.Foundations.PartB]
isapropisdecprop [in UniMath.Foundations.PartD]
isapropisincl [in UniMath.Foundations.PartD]
isapropunit [in UniMath.Foundations.PartB]
isaprop_pathsprop [in UniMath.MoreFoundations.PropExt]
isaprop_isolation [in UniMath.MoreFoundations.DecidablePropositions]
isaset [in UniMath.Foundations.PartB]
isaset_PartialOrder [in UniMath.Foundations.Sets]
isaset_po [in UniMath.Foundations.Sets]
isaset_hrel [in UniMath.Foundations.Sets]
isasymm [in UniMath.Foundations.Sets]
isasymmlogeqf [in UniMath.Foundations.Sets]
isasymmnatlth [in UniMath.Foundations.NaturalNumbers]
isasymmresrel [in UniMath.Foundations.Sets]
ischoicebase [in UniMath.Foundations.Sets]
ischoicebase_uu1 [in UniMath.Foundations.Sets]
iscoantisymm [in UniMath.Foundations.Sets]
iscoantisymmlogeqf [in UniMath.Foundations.Sets]
iscoantisymmnatlth [in UniMath.Foundations.NaturalNumbers]
iscoantisymmresrel [in UniMath.Foundations.Sets]
iscoasymm [in UniMath.Foundations.Sets]
iscoasymmlogeqf [in UniMath.Foundations.Sets]
iscoasymmnatgeh [in UniMath.Foundations.NaturalNumbers]
iscoasymmnatleh [in UniMath.Foundations.NaturalNumbers]
iscoasymmresrel [in UniMath.Foundations.Sets]
iscomprelfun [in UniMath.Foundations.Sets]
iscomprelfun2 [in UniMath.Foundations.Sets]
iscomprelrel [in UniMath.Foundations.Sets]
iscomprelrelfun [in UniMath.Foundations.Sets]
iscomprelrelfun2 [in UniMath.Foundations.Sets]
isconst [in UniMath.MoreFoundations.Sets]
isconst_2' [in UniMath.MoreFoundations.Sets]
isconst_2 [in UniMath.MoreFoundations.Sets]
iscontr [in UniMath.Foundations.PartA]
iscontrpair [in UniMath.Foundations.PartA]
iscontrpr1 [in UniMath.Foundations.PartA]
iscontrsecoverempty [in UniMath.Foundations.PartD]
iscontrsecoverempty2 [in UniMath.Foundations.PartD]
iscontr_uniqueness [in UniMath.Foundations.PartA]
iscontr_hProp [in UniMath.MoreFoundations.Propositions]
iscoproj [in UniMath.Foundations.PartC]
iscotrans [in UniMath.Foundations.Sets]
iscotranslogeqf [in UniMath.Foundations.Sets]
iscotransnatlth [in UniMath.Foundations.NaturalNumbers]
iscotransresrel [in UniMath.Foundations.Sets]
isdcpomorphism [in UniMath.Algebra.DCPO]
isdcpomorphism' [in UniMath.Algebra.DCPO]
isdeccotrans [in UniMath.Foundations.Sets]
isdeceq [in UniMath.Foundations.PartB]
isdeceqnat [in UniMath.Foundations.NaturalNumbers]
isdeceqsetquot [in UniMath.Foundations.Sets]
isdeceq_retract [in UniMath.MoreFoundations.Wtypes]
isDecidablePredicate [in UniMath.MoreFoundations.Subtypes]
isdecidable_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
isdecincl [in UniMath.Foundations.PartC]
isdecprop [in UniMath.Foundations.PartB]
isdecproptoisaprop [in UniMath.Foundations.PartB]
isdecprop_to_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
isdecrel [in UniMath.Foundations.Sets]
isdecrellogeqf [in UniMath.Foundations.Sets]
isdecrelnateq [in UniMath.Foundations.NaturalNumbers]
isdecrelnatgeh [in UniMath.Foundations.NaturalNumbers]
isdecrelnatleh [in UniMath.Foundations.NaturalNumbers]
isdecrelnatlth [in UniMath.Foundations.NaturalNumbers]
isdecrelresrel [in UniMath.Foundations.Sets]
isdecrel_natneq [in UniMath.Foundations.NaturalNumbers]
isdectotal [in UniMath.Foundations.Sets]
isdec_ordering [in UniMath.Foundations.Sets]
isdefined [in UniMath.Partiality.PartialElements]
isdefined_lift_embedding [in UniMath.Partiality.PartialElements]
isdirected [in UniMath.Algebra.DCPO]
isdirectedcomplete [in UniMath.Algebra.DCPO]
isdirected_order [in UniMath.Algebra.DCPO]
isdirected_inhabited [in UniMath.Algebra.DCPO]
iseqclass [in UniMath.Foundations.Sets]
iseqclassconstr [in UniMath.Foundations.Sets]
iseqrel [in UniMath.Foundations.Sets]
iseqrelconstr [in UniMath.Foundations.Sets]
iseqrellogeqf [in UniMath.Foundations.Sets]
iseqrelresrel [in UniMath.Foundations.Sets]
isFalse [in UniMath.MoreFoundations.DecidablePropositions]
isfibseq [in UniMath.Foundations.PartA]
ishfsq [in UniMath.Foundations.PartA]
ishinh [in UniMath.Foundations.Propositions]
ishinh_UU [in UniMath.Foundations.Propositions]
isincl [in UniMath.Foundations.PartB]
isinclpr1 [in UniMath.Foundations.PartB]
isinhdneg [in UniMath.Foundations.Propositions]
isInjective [in UniMath.Foundations.PartB]
isInjectiveFunction [in UniMath.Foundations.Sets]
isinjinvmap [in UniMath.Foundations.PartA]
isinjinvmap' [in UniMath.Foundations.PartA]
isirrefl [in UniMath.Foundations.Sets]
isirrefllogeqf [in UniMath.Foundations.Sets]
isirreflnatlth [in UniMath.Foundations.NaturalNumbers]
isirreflresrel [in UniMath.Foundations.Sets]
isisolated [in UniMath.Foundations.PartB]
isisolatedn [in UniMath.Foundations.NaturalNumbers]
isisolated_ne_to_isisolated [in UniMath.MoreFoundations.NegativePropositions]
isisolated_to_isisolated_ne [in UniMath.MoreFoundations.NegativePropositions]
isisolated_ne [in UniMath.MoreFoundations.NegativePropositions]
islub [in UniMath.Algebra.DCPO]
islub_isleast [in UniMath.Algebra.DCPO]
islub_isupperbound [in UniMath.Algebra.DCPO]
isMaximal [in UniMath.Foundations.Sets]
isMinimal [in UniMath.Foundations.Sets]
isnegrel [in UniMath.Foundations.Sets]
isnegrellogeqf [in UniMath.Foundations.Sets]
isnegrelnatgeh [in UniMath.Foundations.NaturalNumbers]
isnegrelnatleh [in UniMath.Foundations.NaturalNumbers]
isnegrelnatlth [in UniMath.Foundations.NaturalNumbers]
isnegrelresrel [in UniMath.Foundations.Sets]
isofhlevel [in UniMath.Foundations.PartB]
isofhlevelf [in UniMath.Foundations.PartB]
isofhlevelsninclb [in UniMath.Foundations.PartB]
isolated [in UniMath.Foundations.PartB]
isolatedpair [in UniMath.Foundations.PartB]
isolatedpair_ne [in UniMath.MoreFoundations.NegativePropositions]
isolated_ne [in UniMath.MoreFoundations.NegativePropositions]
isolation [in UniMath.MoreFoundations.DecidablePropositions]
isolation_to_inequality [in UniMath.MoreFoundations.DecidablePropositions]
isolfun1 [in UniMath.Foundations.PartB]
isolfun2 [in UniMath.Foundations.PartB]
isolfun3 [in UniMath.Foundations.PartB]
isPartialOrder [in UniMath.Foundations.Sets]
ispologeqf [in UniMath.Foundations.Sets]
isporesrel [in UniMath.Foundations.Sets]
isPosetEquivalence [in UniMath.Foundations.Sets]
isPosetEquivalence_idweq [in UniMath.Foundations.Sets]
isPredicate [in UniMath.Foundations.PartB]
ispreorder [in UniMath.Foundations.Sets]
isProofIrrelevant [in UniMath.Foundations.PartB]
isrefl [in UniMath.Foundations.Sets]
isrefldirprod [in UniMath.Foundations.Sets]
isrefllogeqf [in UniMath.Foundations.Sets]
isreflnatgeh [in UniMath.Foundations.NaturalNumbers]
isreflnatleh [in UniMath.Foundations.NaturalNumbers]
isreflpathshrel [in UniMath.Foundations.Sets]
isreflresrel [in UniMath.Foundations.Sets]
issurjective [in UniMath.Foundations.Propositions]
issymm [in UniMath.Foundations.Sets]
issymmdirprod [in UniMath.Foundations.Sets]
issymmlogeqf [in UniMath.Foundations.Sets]
issymmpathshrel [in UniMath.Foundations.Sets]
issymmresrel [in UniMath.Foundations.Sets]
istotal [in UniMath.Foundations.Sets]
istotallogeqf [in UniMath.Foundations.Sets]
istotalnatgeh [in UniMath.Foundations.NaturalNumbers]
istotalnatleh [in UniMath.Foundations.NaturalNumbers]
istotalresrel [in UniMath.Foundations.Sets]
istrans [in UniMath.Foundations.Sets]
istransdirprod [in UniMath.Foundations.Sets]
istranslogeqf [in UniMath.Foundations.Sets]
istransnatgeh [in UniMath.Foundations.NaturalNumbers]
istransnatleh [in UniMath.Foundations.NaturalNumbers]
istransnatlth [in UniMath.Foundations.NaturalNumbers]
istranspathshrel [in UniMath.Foundations.Sets]
istransresrel [in UniMath.Foundations.Sets]
isTrue [in UniMath.MoreFoundations.DecidablePropositions]
isupperbound [in UniMath.Algebra.DCPO]
isweq [in UniMath.Foundations.PartA]
isweqezmappr1 [in UniMath.Foundations.PartA]
isweqinvezmaphf [in UniMath.Foundations.PartA]
isweqtoempty [in UniMath.Foundations.PartA]
isweqtoforallpaths [in UniMath.Foundations.UnivalenceAxiom]
isweqtoforallpathsStatement [in UniMath.Foundations.UnivalenceAxiom]
is_singlevalued [in UniMath.MoreFoundations.ClosureOfHrel]
iter [in UniMath.Algebra.DCPO]
iteration [in UniMath.Foundations.PartA]
iter' [in UniMath.Algebra.DCPO]
K
Kleisli_extension_dcpo [in UniMath.Partiality.LiftMonad]Kleisli_extension [in UniMath.Partiality.LiftMonad]
k_dcpo [in UniMath.Partiality.PCF]
L
leastfixedpoint [in UniMath.Algebra.DCPO]lefttostep [in UniMath.MoreFoundations.ClosureOfHrel]
lefttostep_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
left_regular_equiv [in UniMath.MoreFoundations.ClosureOfHrel]
LEM [in UniMath.MoreFoundations.DecidablePropositions]
lift [in UniMath.Partiality.PartialElements]
liftdcpo [in UniMath.Partiality.PartialElements]
liftdcpowithbottom [in UniMath.Partiality.PartialElements]
lifted_ifz [in UniMath.Partiality.PCF]
lifted_ifz' [in UniMath.Partiality.PCF]
lifted_pred [in UniMath.Partiality.PCF]
lifted_succ [in UniMath.Partiality.PCF]
lifteq_suff [in UniMath.Partiality.PartialElements]
lifteq_necc [in UniMath.Partiality.PartialElements]
lifteq_valueeq [in UniMath.Partiality.PartialElements]
lifteq_isdefined [in UniMath.Partiality.PartialElements]
liftfunctor [in UniMath.Partiality.LiftMonad]
liftfunctor_dcpo [in UniMath.Partiality.LiftMonad]
liftfunctor_eq [in UniMath.Partiality.LiftMonad]
liftfunctor' [in UniMath.Partiality.LiftMonad]
liftofhSet [in UniMath.Partiality.PartialElements]
liftorder [in UniMath.Partiality.PartialElements]
liftorder_hrel [in UniMath.Partiality.PartialElements]
liftorder_least_isleast [in UniMath.Partiality.PartialElements]
liftorder_least [in UniMath.Partiality.PartialElements]
liftorder_transitive [in UniMath.Partiality.PartialElements]
liftorder_reflexive [in UniMath.Partiality.PartialElements]
liftorder_antisymmetric [in UniMath.Partiality.PartialElements]
liftposet [in UniMath.Partiality.PartialElements]
lift_embedding [in UniMath.Partiality.PartialElements]
logeq [in UniMath.Foundations.PartA]
logeqnegs [in UniMath.Foundations.PartA]
logeqweq [in UniMath.Foundations.Propositions]
logeq_trans [in UniMath.Foundations.PartA]
logeq_both_false [in UniMath.Foundations.PartA]
logeq_both_true [in UniMath.Foundations.PartA]
lubvaluemap [in UniMath.Partiality.PartialElements]
lubvaluemap_weaklyconstant [in UniMath.Partiality.PartialElements]
M
makeSubset [in UniMath.MoreFoundations.Sets]make_neqProp [in UniMath.MoreFoundations.NegativePropositions]
make_negProp [in UniMath.MoreFoundations.NegativePropositions]
maponcomplincl [in UniMath.Foundations.PartC]
maponcomplincl_ne [in UniMath.MoreFoundations.NegativePropositions]
maponpaths [in UniMath.Foundations.PartA]
maponpathscomp0 [in UniMath.Foundations.PartA]
maponpathshomidinv [in UniMath.Foundations.PartA]
maponpathsinv0 [in UniMath.Foundations.PartA]
maponpaths_2 [in UniMath.MoreFoundations.PartA]
maponsec [in UniMath.Foundations.PartD]
maponsec1 [in UniMath.Foundations.PartD]
maponsec1l0 [in UniMath.Foundations.PartD]
map_on_two_paths [in UniMath.Foundations.PartA]
max [in UniMath.Foundations.Preamble]
min [in UniMath.Foundations.Preamble]
minuseq0 [in UniMath.Foundations.NaturalNumbers]
minuseq0' [in UniMath.Foundations.NaturalNumbers]
minusgth0 [in UniMath.Foundations.NaturalNumbers]
minusgth0inv [in UniMath.Foundations.NaturalNumbers]
minusminusmmn [in UniMath.Foundations.NaturalNumbers]
minusplusnmm [in UniMath.Foundations.NaturalNumbers]
minusplusnmmineq [in UniMath.Foundations.NaturalNumbers]
mkconst_dcpomor [in UniMath.Algebra.DCPO]
mkdcpomorphism [in UniMath.Algebra.DCPO]
mkdirectedlubinlift [in UniMath.Partiality.PartialElements]
mul [in UniMath.Foundations.Preamble]
N
natboolneq [in UniMath.Foundations.NaturalNumbers]natchoice0 [in UniMath.Foundations.NaturalNumbers]
natdeceq [in UniMath.Foundations.NaturalNumbers]
natdecneq [in UniMath.Foundations.NaturalNumbers]
natdiv [in UniMath.Foundations.NaturalNumbers]
natdivandmultl [in UniMath.Foundations.NaturalNumbers]
natdivandmultr [in UniMath.Foundations.NaturalNumbers]
natdivrem [in UniMath.Foundations.NaturalNumbers]
nateq [in UniMath.Foundations.NaturalNumbers]
nateq_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natgeh [in UniMath.Foundations.NaturalNumbers]
natgehandminusl [in UniMath.Foundations.NaturalNumbers]
natgehandminusr [in UniMath.Foundations.NaturalNumbers]
natgehandminusrinv [in UniMath.Foundations.NaturalNumbers]
natgehandmultl [in UniMath.Foundations.NaturalNumbers]
natgehandmultlinv [in UniMath.Foundations.NaturalNumbers]
natgehandmultr [in UniMath.Foundations.NaturalNumbers]
natgehandmultrinv [in UniMath.Foundations.NaturalNumbers]
natgehandplusl [in UniMath.Foundations.NaturalNumbers]
natgehandpluslinv [in UniMath.Foundations.NaturalNumbers]
natgehandplusr [in UniMath.Foundations.NaturalNumbers]
natgehandplusrinv [in UniMath.Foundations.NaturalNumbers]
natgehchoice [in UniMath.Foundations.NaturalNumbers]
natgehdec [in UniMath.Foundations.NaturalNumbers]
natgehn0 [in UniMath.Foundations.NaturalNumbers]
natgehplusnmm [in UniMath.Foundations.NaturalNumbers]
natgehplusnmn [in UniMath.Foundations.NaturalNumbers]
natgehsnn [in UniMath.Foundations.NaturalNumbers]
natgehtogehm1 [in UniMath.Foundations.NaturalNumbers]
natgehtogehp1 [in UniMath.Foundations.NaturalNumbers]
natgehtogehs [in UniMath.Foundations.NaturalNumbers]
natgehtonegnatlth [in UniMath.Foundations.NaturalNumbers]
natgeh_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natgtb [in UniMath.Foundations.NaturalNumbers]
natgth [in UniMath.Foundations.NaturalNumbers]
natgthandmultl [in UniMath.Foundations.NaturalNumbers]
natgthandmultlinv [in UniMath.Foundations.NaturalNumbers]
natgthandmultr [in UniMath.Foundations.NaturalNumbers]
natgthandmultrinv [in UniMath.Foundations.NaturalNumbers]
natgthandplusl [in UniMath.Foundations.NaturalNumbers]
natgthandpluslinv [in UniMath.Foundations.NaturalNumbers]
natgthandplusm [in UniMath.Foundations.NaturalNumbers]
natgthandplusr [in UniMath.Foundations.NaturalNumbers]
natgthandplusrinv [in UniMath.Foundations.NaturalNumbers]
natgthdec [in UniMath.Foundations.NaturalNumbers]
natgthorleh [in UniMath.Foundations.NaturalNumbers]
natgthtogeh [in UniMath.Foundations.NaturalNumbers]
natgthtogehm1 [in UniMath.Foundations.NaturalNumbers]
natgthtogthm1 [in UniMath.Foundations.NaturalNumbers]
natgthtogthp1 [in UniMath.Foundations.NaturalNumbers]
natgthtogths [in UniMath.Foundations.NaturalNumbers]
natgthtonegnatleh [in UniMath.Foundations.NaturalNumbers]
natgth_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natleh [in UniMath.Foundations.NaturalNumbers]
natlehandmultl [in UniMath.Foundations.NaturalNumbers]
natlehandmultlinv [in UniMath.Foundations.NaturalNumbers]
natlehandmultr [in UniMath.Foundations.NaturalNumbers]
natlehandmultrinv [in UniMath.Foundations.NaturalNumbers]
natlehandplus [in UniMath.Foundations.NaturalNumbers]
natlehandplusl [in UniMath.Foundations.NaturalNumbers]
natlehandpluslinv [in UniMath.Foundations.NaturalNumbers]
natlehandplusr [in UniMath.Foundations.NaturalNumbers]
natlehandplusrinv [in UniMath.Foundations.NaturalNumbers]
natlehchoice [in UniMath.Foundations.NaturalNumbers]
natlehdec [in UniMath.Foundations.NaturalNumbers]
natlehmplusnm [in UniMath.Foundations.NaturalNumbers]
natlehnplusnm [in UniMath.Foundations.NaturalNumbers]
natlehnsn [in UniMath.Foundations.NaturalNumbers]
natlehtolehm1 [in UniMath.Foundations.NaturalNumbers]
natlehtolehp1 [in UniMath.Foundations.NaturalNumbers]
natlehtolehs [in UniMath.Foundations.NaturalNumbers]
natlehtonegnatgth [in UniMath.Foundations.NaturalNumbers]
natleh_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natleh0n [in UniMath.Foundations.NaturalNumbers]
natleh0tois0 [in UniMath.Foundations.NaturalNumbers]
natlth [in UniMath.Foundations.NaturalNumbers]
natlthandminusl [in UniMath.Foundations.NaturalNumbers]
natlthandmultl [in UniMath.Foundations.NaturalNumbers]
natlthandmultlinv [in UniMath.Foundations.NaturalNumbers]
natlthandmultr [in UniMath.Foundations.NaturalNumbers]
natlthandmultrinv [in UniMath.Foundations.NaturalNumbers]
natlthandplusl [in UniMath.Foundations.NaturalNumbers]
natlthandpluslinv [in UniMath.Foundations.NaturalNumbers]
natlthandplusm [in UniMath.Foundations.NaturalNumbers]
natlthandplusr [in UniMath.Foundations.NaturalNumbers]
natlthandplusrinv [in UniMath.Foundations.NaturalNumbers]
natlthdec [in UniMath.Foundations.NaturalNumbers]
natlthnsn [in UniMath.Foundations.NaturalNumbers]
natlthorgeh [in UniMath.Foundations.NaturalNumbers]
natlthtoleh [in UniMath.Foundations.NaturalNumbers]
natlthtolthm1 [in UniMath.Foundations.NaturalNumbers]
natlthtolthp1 [in UniMath.Foundations.NaturalNumbers]
natlthtolths [in UniMath.Foundations.NaturalNumbers]
natlthtonegnatgeh [in UniMath.Foundations.NaturalNumbers]
natlth_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natlth1tois0 [in UniMath.Foundations.NaturalNumbers]
natminuseqn [in UniMath.Foundations.NaturalNumbers]
natminusgehn [in UniMath.Foundations.NaturalNumbers]
natminuslehn [in UniMath.Foundations.NaturalNumbers]
natminuslthn [in UniMath.Foundations.NaturalNumbers]
natminuslthninv [in UniMath.Foundations.NaturalNumbers]
natnegpaths [in UniMath.Foundations.NaturalNumbers]
natneq [in UniMath.MoreFoundations.NegativePropositions]
natneqchoice [in UniMath.Foundations.NaturalNumbers]
natneq_hProp [in UniMath.Foundations.NaturalNumbers]
natneq_DecidableProposition [in UniMath.MoreFoundations.DecidablePropositions]
natneq0andmult [in UniMath.Foundations.NaturalNumbers]
natneq0andmultlinv [in UniMath.Foundations.NaturalNumbers]
natneq0andmultrinv [in UniMath.Foundations.NaturalNumbers]
natneq0to0lth [in UniMath.Foundations.NaturalNumbers]
natplusnonzero [in UniMath.Foundations.NaturalNumbers]
natpower [in UniMath.Foundations.NaturalNumbers]
natrem [in UniMath.Foundations.NaturalNumbers]
natremandmultl [in UniMath.Foundations.NaturalNumbers]
natremandmultr [in UniMath.Foundations.NaturalNumbers]
natset [in UniMath.Foundations.NaturalNumbers]
nat_compl [in UniMath.MoreFoundations.NegativePropositions]
nat0gehtois0 [in UniMath.Foundations.NaturalNumbers]
neg [in UniMath.Foundations.PartA]
negb [in UniMath.Foundations.Preamble]
negf [in UniMath.Foundations.PartA]
negfalsetotrue [in UniMath.Foundations.PartA]
neggth_logeq_leh [in UniMath.Foundations.NaturalNumbers]
negimage [in UniMath.Foundations.PartC]
negimagepair [in UniMath.Foundations.PartC]
negnatgehnsn [in UniMath.Foundations.NaturalNumbers]
negnatgehtolth [in UniMath.Foundations.NaturalNumbers]
negnatgeh0sn [in UniMath.Foundations.NaturalNumbers]
negnatgthmplusnm [in UniMath.Foundations.NaturalNumbers]
negnatgthnplusnm [in UniMath.Foundations.NaturalNumbers]
negnatlehsnn [in UniMath.Foundations.NaturalNumbers]
negnatlehsn0 [in UniMath.Foundations.NaturalNumbers]
negnatlthn0 [in UniMath.Foundations.NaturalNumbers]
negnatlthplusnmm [in UniMath.Foundations.NaturalNumbers]
negnatlthplusnmn [in UniMath.Foundations.NaturalNumbers]
negnatlthtogeh [in UniMath.Foundations.NaturalNumbers]
negnat0lthtois0 [in UniMath.Foundations.NaturalNumbers]
negPred [in UniMath.MoreFoundations.NegativePropositions]
negProp [in UniMath.MoreFoundations.NegativePropositions]
negProp_to_neg [in UniMath.MoreFoundations.NegativePropositions]
negProp_to_iff [in UniMath.MoreFoundations.NegativePropositions]
negProp_to_hProp [in UniMath.MoreFoundations.NegativePropositions]
negProp_to_isaprop [in UniMath.MoreFoundations.NegativePropositions]
negrel [in UniMath.Foundations.Sets]
negReln [in UniMath.MoreFoundations.NegativePropositions]
negrtopaths [in UniMath.Foundations.Sets]
negtruetofalse [in UniMath.Foundations.PartA]
neg_to_negProp [in UniMath.MoreFoundations.NegativePropositions]
neqchoice [in UniMath.Foundations.Sets]
neqchoicelogeqf [in UniMath.Foundations.Sets]
neqchoiceresrel [in UniMath.Foundations.Sets]
neqh [in UniMath.Foundations.Sets]
neqPred [in UniMath.MoreFoundations.NegativePropositions]
neqProp [in UniMath.MoreFoundations.NegativePropositions]
neqReln [in UniMath.MoreFoundations.NegativePropositions]
neqset [in UniMath.Foundations.Sets]
numeral [in UniMath.Partiality.PCF]
P
P [in UniMath.Partiality.PCF]pairConjunction [in UniMath.MoreFoundations.DecidablePropositions]
pairDisjunction [in UniMath.MoreFoundations.DecidablePropositions]
pairNegation [in UniMath.MoreFoundations.DecidablePropositions]
pair_path_in2 [in UniMath.Foundations.PartA]
pair_contradiction [in UniMath.MoreFoundations.DecidablePropositions]
PartialOrder [in UniMath.Foundations.Sets]
PartialOrderpair [in UniMath.Foundations.Sets]
Part1 [in UniMath.MoreFoundations.DecidablePropositions]
Part2 [in UniMath.MoreFoundations.DecidablePropositions]
PathPair [in UniMath.Foundations.PartA]
pathscomp0 [in UniMath.Foundations.PartA]
pathscomp0rid [in UniMath.Foundations.PartA]
pathsdirprod [in UniMath.Foundations.PartA]
pathsdirprodweq [in UniMath.MoreFoundations.WeakEquivalences]
pathseqrel [in UniMath.Foundations.Sets]
pathshrel [in UniMath.Foundations.Sets]
pathsinv0 [in UniMath.Foundations.PartA]
pathsinv0inv0 [in UniMath.Foundations.PartA]
pathsinv0l [in UniMath.Foundations.PartA]
pathsinv0r [in UniMath.Foundations.PartA]
pathssec1 [in UniMath.Foundations.PartA]
pathssec2 [in UniMath.Foundations.PartA]
pathssec2id [in UniMath.Foundations.PartA]
pathssec3 [in UniMath.Foundations.PartA]
pathsspace [in UniMath.Foundations.PartA]
pathsspacetriple [in UniMath.Foundations.PartA]
pathsspace' [in UniMath.Foundations.PartA]
pathstonegr [in UniMath.Foundations.Sets]
pathstor [in UniMath.Foundations.Sets]
pathsweq1 [in UniMath.Foundations.PartA]
pathsweq1' [in UniMath.Foundations.PartA]
pathsweq3 [in UniMath.Foundations.PartA]
pathsweq4 [in UniMath.Foundations.PartA]
path_assoc [in UniMath.Foundations.PartA]
path_sigma_hprop [in UniMath.MoreFoundations.PartA]
picompact [in UniMath.MoreFoundations.Wtypes]
picompact_coprod [in UniMath.MoreFoundations.Wtypes]
picompact_unit [in UniMath.MoreFoundations.Wtypes]
picompact_empty [in UniMath.MoreFoundations.Wtypes]
pi0 [in UniMath.Foundations.Sets]
pi0 [in UniMath.MoreFoundations.AxiomOfChoice]
pi0pr [in UniMath.Foundations.Sets]
plusminusnmm [in UniMath.Foundations.NaturalNumbers]
po [in UniMath.Foundations.Sets]
pointwisefamily [in UniMath.Algebra.DCPO]
pointwiselub [in UniMath.Algebra.DCPO]
pointwiseorder [in UniMath.Algebra.DCPO]
popair [in UniMath.Foundations.Sets]
Poset [in UniMath.Foundations.Sets]
PosetEquivalence [in UniMath.Foundations.Sets]
posetmorphism [in UniMath.Foundations.Sets]
posetmorphismpair [in UniMath.Foundations.Sets]
posetofdcpomorphisms [in UniMath.Algebra.DCPO]
Posetpair [in UniMath.Foundations.Sets]
posetRelation [in UniMath.Foundations.Sets]
posetUnderlyingEquivalence [in UniMath.Foundations.Sets]
PreorderedSet [in UniMath.Foundations.Sets]
PreorderedSetPair [in UniMath.Foundations.Sets]
PreorderedSetRelation [in UniMath.Foundations.Sets]
preserveslub [in UniMath.Algebra.DCPO]
prodtofunfromcoprod [in UniMath.Foundations.PartD]
prodtofuntoprod [in UniMath.Foundations.PartD]
prodtosecovercoprod [in UniMath.Foundations.PartD]
proofirrelevance_hProp [in UniMath.MoreFoundations.Propositions]
propext [in UniMath.MoreFoundations.PropExt]
propositionalUnivalenceFromUnivalence [in UniMath.Foundations.UnivalenceAxiom]
propositionalUnivalenceStatement [in UniMath.Foundations.UnivalenceAxiom]
propproperty [in UniMath.Foundations.Propositions]
prtoimage [in UniMath.Foundations.Propositions]
pr1carrier [in UniMath.Foundations.Sets]
pr1compfun [in UniMath.Foundations.Sets]
pr1compl [in UniMath.Foundations.PartC]
pr1compl_ne [in UniMath.MoreFoundations.NegativePropositions]
pr1decrel [in UniMath.Foundations.Sets]
pr1eqrel [in UniMath.Foundations.Sets]
pr1hSet [in UniMath.Foundations.Sets]
pr1image [in UniMath.Foundations.Propositions]
pr1incl [in UniMath.Foundations.PartB]
pr1isolated [in UniMath.Foundations.PartB]
pr1isolated_ne [in UniMath.MoreFoundations.NegativePropositions]
pr1setquot [in UniMath.Foundations.Sets]
pr1weq [in UniMath.Foundations.PartA]
Q
quotdecrelint [in UniMath.Foundations.Sets]quotdecrelintlogeq [in UniMath.Foundations.Sets]
quotrel [in UniMath.Foundations.Sets]
R
rdistrtocoprod [in UniMath.Foundations.PartA]rdistrtoprod [in UniMath.Foundations.PartA]
recompl [in UniMath.Foundations.PartC]
recomplf [in UniMath.Foundations.PartC]
recompl_ne [in UniMath.MoreFoundations.NegativePropositions]
refltransclos_left_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_step_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_step [in UniMath.MoreFoundations.ClosureOfHrel]
refltransclos_left_trans [in UniMath.MoreFoundations.ClosureOfHrel]
refltrans_step_smallstep [in UniMath.Partiality.PCF]
refltrans_smallstep [in UniMath.Partiality.PCF]
refl_trans_clos_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
reseqrel [in UniMath.Foundations.Sets]
resrel [in UniMath.Foundations.Sets]
rtopaths [in UniMath.Foundations.Sets]
S
same_fiber_eqrel [in UniMath.MoreFoundations.Sets]secovercoprodtoprod [in UniMath.Foundations.PartD]
sectohfiber [in UniMath.Foundations.UnivalenceAxiom]
sectohfibertosec [in UniMath.Foundations.UnivalenceAxiom]
setcoprod [in UniMath.MoreFoundations.Sets]
setcoprod [in UniMath.Foundations.Sets]
setdirprod [in UniMath.Foundations.Sets]
setproperty [in UniMath.Foundations.Sets]
setquot [in UniMath.Foundations.Sets]
setquotbooleq [in UniMath.Foundations.Sets]
setquotbooleqint [in UniMath.Foundations.Sets]
setquotfun [in UniMath.Foundations.Sets]
setquotfuncomm [in UniMath.Foundations.Sets]
setquotfun2 [in UniMath.Foundations.Sets]
setquotincl [in UniMath.Foundations.Sets]
setquotinset [in UniMath.Foundations.Sets]
setquotpair [in UniMath.Foundations.Sets]
setquottodirprod [in UniMath.Foundations.Sets]
setquottosetquot2 [in UniMath.Foundations.Sets]
setquotuniv2 [in UniMath.Foundations.Sets]
setquot2 [in UniMath.Foundations.Sets]
setquot2inset [in UniMath.Foundations.Sets]
setquot2pr [in UniMath.Foundations.Sets]
setquot2univ [in UniMath.Foundations.Sets]
si [in UniMath.Foundations.NaturalNumbers]
smallstep [in UniMath.Partiality.PCF]
squash_to_hSet_2' [in UniMath.MoreFoundations.Sets]
squash_to_hSet_2 [in UniMath.MoreFoundations.Sets]
squash_to_hSet [in UniMath.MoreFoundations.Sets]
squash_to_set [in UniMath.Foundations.Sets]
squash_pairs_to_set [in UniMath.Foundations.Sets]
stepleftequiv [in UniMath.MoreFoundations.ClosureOfHrel]
stepleftequiv_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft [in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel [in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel_helper' [in UniMath.MoreFoundations.ClosureOfHrel]
steptoleft_hrel_helper [in UniMath.MoreFoundations.ClosureOfHrel]
Struc [in UniMath.MoreFoundations.StructureIdentity]
StrucEquiv [in UniMath.MoreFoundations.StructureIdentity]
sub [in UniMath.Foundations.Preamble]
Subposet [in UniMath.MoreFoundations.Subposets]
Subposet_to_Subposet' [in UniMath.MoreFoundations.Subposets]
Subposet' [in UniMath.MoreFoundations.Subposets]
Subposet'_equiv_Subposet [in UniMath.MoreFoundations.Subposets]
Subposet'_to_Subposet [in UniMath.MoreFoundations.Subposets]
Subposet'_to_Poset [in UniMath.MoreFoundations.Subposets]
subset [in UniMath.MoreFoundations.Sets]
subsetsplit [in UniMath.Foundations.PartB]
subsetsplitinv [in UniMath.Foundations.PartB]
subtrees [in UniMath.MoreFoundations.Wtypes]
subtrees_eq [in UniMath.MoreFoundations.Wtypes]
subtrees_type [in UniMath.MoreFoundations.Wtypes]
subtypePairEquality [in UniMath.Foundations.PartB]
subtypePairEquality' [in UniMath.Foundations.PartB]
subtypesdirprod [in UniMath.Foundations.Sets]
subtype_plus_in [in UniMath.MoreFoundations.Subtypes]
subtype_plus_has_point [in UniMath.MoreFoundations.Subtypes]
subtype_plus_incl [in UniMath.MoreFoundations.Subtypes]
subtype_plus [in UniMath.MoreFoundations.Subtypes]
subtype_intersection [in UniMath.MoreFoundations.Subtypes]
subtype_union_containedIn [in UniMath.MoreFoundations.Subtypes]
subtype_union [in UniMath.MoreFoundations.Subtypes]
subtype_difference_containedIn [in UniMath.MoreFoundations.Subtypes]
subtype_difference [in UniMath.MoreFoundations.Subtypes]
subtype_notEqual [in UniMath.MoreFoundations.Subtypes]
subtype_equal [in UniMath.MoreFoundations.Subtypes]
subtype_smallerThan [in UniMath.MoreFoundations.Subtypes]
subtype_inc [in UniMath.MoreFoundations.Subtypes]
subtype_notContainedIn [in UniMath.MoreFoundations.Subtypes]
subtype_containedIn [in UniMath.MoreFoundations.Subtypes]
subtype_isIn [in UniMath.MoreFoundations.Subtypes]
subtype_set [in UniMath.MoreFoundations.Subtypes]
succ [in UniMath.Foundations.Preamble]
sumofmaps [in UniMath.Foundations.PartA]
sumofmaps_assoc_right [in UniMath.Foundations.PartA]
sumofmaps_assoc_left [in UniMath.Foundations.PartA]
sumofmaps_homot [in UniMath.MoreFoundations.PartA]
sumofmaps_funcomp [in UniMath.MoreFoundations.PartA]
s_dcpo [in UniMath.Partiality.PCF]
T
termfun [in UniMath.Foundations.PartA]Test_isweq_iso.v [in UniMath.Foundations.Tests]
Test_isweq_iso.w [in UniMath.Foundations.Tests]
tildehProp [in UniMath.Foundations.Propositions]
tildehProppair [in UniMath.Foundations.Propositions]
tococonusf [in UniMath.Foundations.PartA]
tocompltodisjoint [in UniMath.Foundations.PartC]
tocompltoii1x [in UniMath.Foundations.PartC]
tocompltoii2y [in UniMath.Foundations.PartC]
todneg [in UniMath.Foundations.PartA]
toforallpaths [in UniMath.Foundations.PartA]
tosecovertotal2 [in UniMath.Foundations.PartD]
tosecoverunit [in UniMath.Foundations.PartD]
tosubquot [in UniMath.Foundations.Sets]
tosubtypesdirprodcarrier [in UniMath.Foundations.Sets]
totalfun [in UniMath.Foundations.PartA]
totalsubtype [in UniMath.Foundations.Sets]
totaltoforall [in UniMath.Foundations.PartD]
total2tohexists [in UniMath.Foundations.Propositions]
total2_hProp [in UniMath.MoreFoundations.Notations]
total2_base_map [in UniMath.Foundations.PartA]
total2_hSet [in UniMath.Foundations.Sets]
tototal2overcoprod [in UniMath.Foundations.PartA]
tototal2overunit [in UniMath.Foundations.PartA]
tounit [in UniMath.Foundations.PartA]
to_ComplementaryPair [in UniMath.MoreFoundations.DecidablePropositions]
transitive_paths_weq [in UniMath.MoreFoundations.WeakEquivalences]
transportb [in UniMath.Foundations.PartA]
transportbfinv [in UniMath.Foundations.PartA]
transportb_dirprod [in UniMath.Foundations.PartA]
transportb_const [in UniMath.Foundations.PartA]
transportD [in UniMath.Foundations.PartA]
transportf [in UniMath.Foundations.PartA]
transportfbinv [in UniMath.Foundations.PartA]
transportf_id3 [in UniMath.Foundations.PartA]
transportf_id2 [in UniMath.Foundations.PartA]
transportf_id1 [in UniMath.Foundations.PartA]
transportf_dirprod [in UniMath.Foundations.PartA]
transportf_total2 [in UniMath.Foundations.PartA]
transportf_const [in UniMath.Foundations.PartA]
transportf_fun [in UniMath.Foundations.PartA]
transportf_eq [in UniMath.Foundations.PartA]
transportf_pathsinv0 [in UniMath.MoreFoundations.PartA]
transportf_funextfun [in UniMath.Foundations.UnivalenceAxiom]
transport_section [in UniMath.Foundations.PartA]
transport_map [in UniMath.Foundations.PartA]
transport_b_b [in UniMath.Foundations.PartA]
transport_f_f [in UniMath.Foundations.PartA]
transport_b_f [in UniMath.Foundations.PartA]
transport_f_b [in UniMath.Foundations.PartA]
transposcommsqstr [in UniMath.Foundations.PartA]
truetonegfalse [in UniMath.Foundations.PartA]
trueWitness [in UniMath.MoreFoundations.DecidablePropositions]
U
uncurry [in UniMath.Foundations.PartA]UniqueConstruction [in UniMath.Foundations.PartA]
unitset [in UniMath.Foundations.Sets]
univalence [in UniMath.Foundations.UnivalenceAxiom]
univalenceStatement [in UniMath.Foundations.UnivalenceAxiom]
univ_surj [in UniMath.Foundations.Sets]
UU [in UniMath.Foundations.Preamble]
V
value [in UniMath.Partiality.PartialElements]W
wconst_endomap_prop_path_prop [in UniMath.MoreFoundations.WeaklyConstant]weaklyconstant [in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstanttoaset_factorsthroughsquash_eq [in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstanttoaset_factorsthroughsquash [in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstant_propext [in UniMath.MoreFoundations.PropExt]
weaklyconstant_endomap [in UniMath.MoreFoundations.WeaklyConstant]
weaklyconstant_value [in UniMath.Partiality.PartialElements]
weq [in UniMath.Foundations.PartA]
weqbandf [in UniMath.Foundations.PartA]
weqbfun [in UniMath.Foundations.PartD]
weqboolsumtocoprod [in UniMath.Foundations.PartA]
weqccontrhfiber [in UniMath.Foundations.PartA]
weqccontrhfiber2 [in UniMath.Foundations.PartA]
weqcomp [in UniMath.Foundations.PartA]
weqcompassoc [in UniMath.Foundations.PartD]
weqcompidl [in UniMath.Foundations.PartD]
weqcompidr [in UniMath.Foundations.PartD]
weqcompinjl [in UniMath.Foundations.PartD]
weqcompinjr [in UniMath.Foundations.PartD]
weqcompinvl [in UniMath.Foundations.PartD]
weqcompinvr [in UniMath.Foundations.PartD]
weqcompweql [in UniMath.Foundations.PartD]
weqcompweqr [in UniMath.Foundations.PartD]
weqcomp_assoc [in UniMath.Foundations.PartD]
weqcomp_to_funcomp [in UniMath.Foundations.PartA]
weqcomp_to_funcomp_app [in UniMath.Foundations.PartA]
weqcontrcontr [in UniMath.Foundations.PartA]
weqcontrtounit [in UniMath.Foundations.PartA]
weqcoprodasstol [in UniMath.Foundations.PartA]
weqcoprodasstor [in UniMath.Foundations.PartA]
weqcoprodcomm [in UniMath.Foundations.PartA]
weqcoprodf [in UniMath.Foundations.PartA]
weqcoprodf1 [in UniMath.Foundations.PartA]
weqcoprodf2 [in UniMath.Foundations.PartA]
weqcoprodsplit [in UniMath.Foundations.PartA]
weqcoprodtoboolsum [in UniMath.Foundations.PartA]
weqcoproj [in UniMath.Foundations.PartC]
weqcutonweq [in UniMath.Foundations.PartD]
weqdirprodasstol [in UniMath.Foundations.PartA]
weqdirprodasstor [in UniMath.Foundations.PartA]
weqdirprodcomm [in UniMath.Foundations.PartA]
weqdirprodf [in UniMath.Foundations.PartA]
weqempty [in UniMath.Foundations.PartA]
weqeqh [in UniMath.Foundations.Sets]
weqeqweqhProp [in UniMath.Foundations.Propositions]
weqffun [in UniMath.Foundations.PartD]
weqfibtototal [in UniMath.Foundations.PartA]
weqforallnegtonegexists [in UniMath.Foundations.Propositions]
weqforalltohfiber [in UniMath.Foundations.PartD]
weqforalltototal [in UniMath.Foundations.PartD]
weqfp [in UniMath.Foundations.PartA]
weqfp_compute_2 [in UniMath.Foundations.PartA]
weqfp_compute_1 [in UniMath.Foundations.PartA]
weqfp_invmap [in UniMath.Foundations.PartA]
weqfp_map [in UniMath.Foundations.PartA]
weqfromcoconusf [in UniMath.Foundations.PartA]
weqfunextsec [in UniMath.Foundations.UnivalenceAxiom]
weqfunfromcontr [in UniMath.Foundations.PartD]
weqfunfromdirprod [in UniMath.Foundations.PartD]
weqfunfromtotal2 [in UniMath.Foundations.PartD]
weqfunfromunit [in UniMath.Foundations.PartD]
weqfuntototaltototal [in UniMath.Foundations.PartD]
weqhfibersgtof' [in UniMath.Foundations.PartA]
weqhfibersg'tof [in UniMath.Foundations.PartA]
weqhfibertoforall [in UniMath.Foundations.PartD]
weqhfiberunit [in UniMath.Foundations.PartB]
weqhfptohfpoverX [in UniMath.Foundations.PartA]
weqhfptohfpoverX' [in UniMath.Foundations.PartA]
weqiff [in UniMath.Foundations.PartB]
weqii1withneg [in UniMath.Foundations.PartA]
weqii2withneg [in UniMath.Foundations.PartA]
weqimplimpl [in UniMath.Foundations.PartB]
weqlogeq [in UniMath.MoreFoundations.Propositions]
weqneghexistsnegtotal2 [in UniMath.Foundations.Propositions]
weqneqh [in UniMath.Foundations.Sets]
weqoncompl [in UniMath.Foundations.PartC]
weqoncompl_ne_compute [in UniMath.MoreFoundations.NegativePropositions]
weqoncompl_ne [in UniMath.MoreFoundations.NegativePropositions]
weqoncompl_compute [in UniMath.Foundations.PartC]
weqonpaths [in UniMath.Foundations.PartA]
weqonpathsincl [in UniMath.Foundations.PartB]
weqonsecbase [in UniMath.Foundations.PartD]
weqonsecfibers [in UniMath.Foundations.PartD]
weqpair [in UniMath.Foundations.PartA]
weqpathsinv0 [in UniMath.Foundations.PartA]
weqpathsweq [in UniMath.Foundations.UnivalenceAxiom]
weqpathsweqhProp [in UniMath.Foundations.Propositions]
weqpathsweqhProp' [in UniMath.Foundations.Propositions]
weqpathsweqStatement [in UniMath.Foundations.UnivalenceAxiom]
weqpathsweqUAH [in UniMath.Foundations.UnivalenceAxiom]
weqproperty [in UniMath.Foundations.PartA]
weqpr1 [in UniMath.Foundations.PartB]
weqrdistrtocoprod [in UniMath.Foundations.PartA]
weqrdistrtoprod [in UniMath.Foundations.PartA]
weqrecompl [in UniMath.Foundations.PartC]
weqrecomplf [in UniMath.Foundations.PartC]
weqrecompl_ne [in UniMath.MoreFoundations.NegativePropositions]
weqsecovercontr [in UniMath.Foundations.PartD]
weqsecovercoprodtoprod [in UniMath.Foundations.PartD]
weqsecovertotal2 [in UniMath.Foundations.PartD]
weqsecoverunit [in UniMath.Foundations.PartD]
weqsetquotsurj [in UniMath.Foundations.Sets]
weqsetquotweq [in UniMath.Foundations.Sets]
weqsubquot [in UniMath.Foundations.Sets]
weqtococonusf [in UniMath.Foundations.PartA]
weqtocompltodisjoint [in UniMath.Foundations.PartC]
weqtodirprodwithunit [in UniMath.Foundations.PartA]
weqtoempty [in UniMath.Foundations.PartA]
weqtoempty2 [in UniMath.Foundations.PartA]
weqtoforallpaths [in UniMath.Foundations.UnivalenceAxiom]
weqtoforallpathsStatement [in UniMath.Foundations.UnivalenceAxiom]
weqtoincl [in UniMath.Foundations.PartB]
weqtopaths [in UniMath.Foundations.UnivalenceAxiom]
weqtopathshProp [in UniMath.Foundations.Propositions]
weqtopathsStatement [in UniMath.Foundations.UnivalenceAxiom]
weqtopathsUAH [in UniMath.Foundations.UnivalenceAxiom]
weqtotalsubtype [in UniMath.Foundations.Sets]
weqtotaltofib [in UniMath.Foundations.PartA]
weqtotaltoforall [in UniMath.Foundations.PartD]
weqtotal2asstol [in UniMath.Foundations.PartA]
weqtotal2comm [in UniMath.MoreFoundations.WeakEquivalences]
weqtotal2comm12 [in UniMath.Foundations.PartA]
weqtotal2dirprodassoc [in UniMath.Foundations.PartA]
weqtotal2dirprodassoc' [in UniMath.Foundations.PartA]
weqtotal2dirprodcomm [in UniMath.Foundations.PartA]
weqtotal2overcoprod' [in UniMath.Foundations.PartA]
weqtranspos0 [in UniMath.Foundations.PartC]
wequnittocontr [in UniMath.Foundations.PartA]
weqZtohfp [in UniMath.Foundations.PartA]
weq_iso [in UniMath.Foundations.PartA]
weq_transportb_adjointness [in UniMath.Foundations.PartA]
weq_transportf_adjointness [in UniMath.Foundations.PartA]
weq_subtypes [in UniMath.Foundations.Sets]
weq_to_iff [in UniMath.Foundations.PartB]
wittohexists [in UniMath.Foundations.Propositions]
Record Index
T
total2 [in UniMath.Foundations.Preamble]| Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (2698 entries) |
| Notation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (155 entries) |
| Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (3 entries) |
| Variable Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (9 entries) |
| Library Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (427 entries) |
| Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (855 entries) |
| Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (36 entries) |
| Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (6 entries) |
| Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (12 entries) |
| Projection Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (2 entries) |
| Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (28 entries) |
| Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (10 entries) |
| Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1154 entries) |
| Record Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1 entry) |
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