Core/Categories.v
Core/TwoCategories.v
Core/Isos.v
Core/Univalence.v
Core/TransportMorphisms.v
Core/Functors.v
Core/NaturalTransformations.v
Core/Setcategories.v
Core/EssentiallyAlgebraic.v
Core/Prelude.v

FunctorCategory.v
whiskering.v
BicatOfCatsElementary.v

DisplayedCats/Core.v
DisplayedCats/Isos.v
DisplayedCats/Functors.v
DisplayedCats/NaturalTransformations.v
DisplayedCats/Univalence.v
DisplayedCats/DisplayedFunctorEq.v
DisplayedCats/Total.v
DisplayedCats/Fiber.v

categories/CategoryOfSetCategories.v
opp_precat.v
OppositeCategory/Core.v
Groupoids.v
ZigZag.v
ProductCategory.v
PrecategoryBinProduct.v
categories/HSET/Core.v
CategorySum.v
Subcategory/Core.v
Subcategory/Full.v
Monics.v
Epis.v
SplitMonicsAndEpis.v
HomotopicalCategory.v
Adjunctions/Core.v
Monads/RelativeMonads.v
Monads/RelMonads_Coreflection.v
Monads/RelativeModules.v
Equivalences/Core.v
Equivalences/CompositesAndInverses.v
Equivalences/FullyFaithful.v
Subcategory/FullEquivalences.v
categories/HSET/MonoEpiIso.v
categories/HSET/Univalence.v
Profunctors/Core.v
CategoriesWithBinOps.v
PrecategoriesWithAbgrops.v
covyoneda.v
limits/cones.v
limits/equalizers.v
limits/graphs/colimits.v
limits/graphs/limits.v
limits/graphs/eqdiag.v
limits/coproducts.v
limits/products.v
limits/initial.v
limits/terminal.v
limits/zero.v
limits/bincoproducts.v
limits/binproducts.v

limits/graphs/bincoproducts.v
limits/graphs/binproducts.v
limits/pullbacks.v
limits/graphs/initial.v
limits/graphs/terminal.v
limits/graphs/zero.v
limits/graphs/pullbacks.v
limits/coequalizers.v
limits/kernels.v
limits/cokernels.v
PreAdditive.v
limits/pushouts.v
limits/graphs/pushouts.v
limits/graphs/equalizers.v
limits/graphs/coequalizers.v
limits/graphs/kernels.v
limits/graphs/cokernels.v
limits/cats/limits.v
limits/BinDirectSums.v
limits/FinOrdProducts.v
limits/FinOrdCoproducts.v
limits/Opp.v
limits/Preservation.v
limits/Ends.v

DisplayedCats/Binproducts.v

limits/Examples/CategoryProductLimits.v
limits/Examples/CategoryOfSetcategoriesLimits.v
limits/StandardDiagrams.v
limits/Filtered.v
IsoCommaCategory.v
limits/Examples/IsoCommaLimits.v
CommaCategories.v

NNO.v
Subcategory/Limits.v
EpiFacts.v
categories/Type/Core.v
categories/Type/MonoEpiIso.v
SimplicialSets.v
yoneda.v
FunctorCoalgebras.v
precomp_fully_faithful.v
precomp_ess_surj.v
PrecompEquivalence.v
UnitorsAndAssociatorsForEndofunctors.v
PointedFunctors.v
HorizontalComposition.v
PointedFunctorsComposition.v
ArrowCategory.v
RightKanExtension.v
coslicecat.v
catiso.v
DisplayedCats/CatIsoDisplayed.v
CategoryEquality.v
WeakEquivalences.v
rezk_completion.v
RezkCompletion.v
exponentials.v
slicecat.v
limits/pullbacks_slice_products_equiv.v
Additive.v
Abelian.v
category_binops.v
AbelianToAdditive.v
Morphisms.v
ExactCategories/ExactCategories.v
ExactCategories/Tests.v
ShortExactSequences.v
AdditiveFunctors.v
LocalizingClass.v
UnderCategories.v
Subobjects.v
SubobjectClassifier.v
Quotobjects.v
AbelianPushoutPullback.v
PseudoElements.v
FiveLemma.v
LatticeObject.v
Actions.v
PowerObject.v
ElementaryTopos.v
Adjunctions/Restriction.v
Adjunctions/Examples.v
Subcategory/Reflective.v

categories/setwith2binops.v
categories/monoids.v
categories/abmonoids.v
categories/grs.v
categories/abgrs.v
categories/rigs.v
categories/commrigs.v
categories/rings.v
categories/commrings.v
categories/intdoms.v
categories/flds.v
categories/modules.v
categories/StandardCategories.v
categories/preorder_categories.v

limits/Examples/UnitCategoryLimits.v

categories/Type/Colimits.v
categories/Type/Limits.v
categories/Type/Structures.v
categories/Type/Univalence.v

categories/HSET/Limits.v
categories/HSET/Colimits.v
categories/HSET/FilteredColimits.v
categories/HSET/Slice.v
categories/HSET/Structures.v
categories/HSET/SliceFamEquiv.v
categories/HSET/All.v

SetValuedFunctors.v
categories/FinSet.v
categories/wosets.v
categories/Graph.v
categories/CGraph.v

GrothendieckTopos.v
Presheaf.v
ElementsOp.v
elems_slice_equiv.v
YonedaBinproducts.v
ExponentiationLeftAdjoint.v

Connected.v
LeftKanExtension.v

categories/CartesianCubicalSets.v

OppositeCategory/OppositeAdjunction.v
OppositeCategory/OppositeOfFunctorCategory.v

Chains/Chains.v
Chains/Cochains.v

DisplayedCats/Examples/Opposite.v
DisplayedCats/Fibrations.v
DisplayedCats/Examples/Reindexing.v
DisplayedCats/Constructions.v
DisplayedCats/Examples/Sigma.v

FunctorAlgebras.v
CompletelyIterativeAlgebras.v
Chains/Adamek.v
Chains/CoAdamek.v
Chains/OmegaCocontFunctors.v
OppositeCategory/LimitsAsColimits.v
Chains/OmegaContFunctors.v
Chains/All.v
Inductives/Lists.v
Inductives/Trees.v
Inductives/LambdaCalculus.v
Inductives/PropositionalLogic.v
CategoricalRecursionSchemes.v

DisplayedCats/Equivalences.v
DisplayedCats/EquivalenceOverId.v
DisplayedCats/DisplayedCatEq.v
DisplayedCats/Codomain.v
DisplayedCats/Projection.v
DisplayedCats/SIP.v

Monads/Monads.v
Monads/LModules.v
Monads/Derivative.v
Monads/MonadAlgebras.v
Monads/Comonads.v

DisplayedCats/Limits.v
DisplayedCats/Examples.v
DisplayedCats/Examples/UnitalBinop.v
DisplayedCats/Examples/CategoryOfPosets.v
DisplayedCats/Structures/CartesianStructure.v
DisplayedCats/Structures/StructureLimitsAndColimits.v
DisplayedCats/Structures/StructuresSmashProduct.v
DisplayedCats/Examples/AlgebraStructures.v
DisplayedCats/Examples/DCPOStructures.v
DisplayedCats/Examples/PointedDCPOStructures.v
DisplayedCats/Examples/PointedDCPOStrict.v
DisplayedCats/Examples/PointedPosetStrict.v
DisplayedCats/Examples/PointedPosetStructures.v
DisplayedCats/Examples/PointedSetStructures.v
DisplayedCats/Examples/PosetStructures.v
DisplayedCats/Examples/SetStructures.v
DisplayedCats/FunctorCategory.v
DisplayedCats/Adjunctions.v
DisplayedCats/ComprehensionC.v
DisplayedCats/StreetFibration.v
DisplayedCats/StreetOpFibration.v
DisplayedCats/ReindexingForward.v
DisplayedCats/TotalCategoryFacts.v
DisplayedCats/TotalAdjunction.v

Monads/KleisliCategory.v
Monads/KTriples.v
Monads/Kleisli.v
Monads/KTriplesEquiv.v

limits/Examples/AlgebraStructuresColimits.v

categories/Dialgebras.v
categories/CatIsoInserter.v
categories/EilenbergMoore.v
categories/CoEilenbergMoore.v
categories/KleisliCategory.v
limits/Examples/EilenbergMooreLimits.v
Elements.v
Core.v

categories/Universal_Algebra/Algebras.v
categories/Universal_Algebra/EqAlgebras.v
categories/Relations.v

Monoidal/WhiskeredBifunctors.v
Monoidal/Categories.v
Monoidal/StrongMonad.v

Monoidal/Structure/Symmetric.v
Monoidal/Structure/SymmetricDiagonal.v
Monoidal/Structure/Closed.v
Monoidal/Structure/Cartesian.v

Monoidal/Functors.v
Monoidal/FunctorCategories.v
Monoidal/Adjunctions.v
Monoidal/CategoriesOfMonoids.v

Monoidal/Displayed/WhiskeredDisplayedBifunctors.v
Monoidal/Displayed/Monoidal.v
Monoidal/Displayed/TotalMonoidal.v
Monoidal/Displayed/MonoidalSections.v
Monoidal/Displayed/TransportLemmas.v
Monoidal/Displayed/Symmetric.v
Monoidal/Displayed/SymmetricMonoidalBuilder.v

Monoidal/Examples/SetCartesianMonoidal.v
Monoidal/Examples/CartesianMonoidal.v
Monoidal/Examples/DisplayedCartesianMonoidal.v
Monoidal/Examples/StructuresMonoidal.v
Monoidal/Examples/EndofunctorsMonoidalElementary.v
Monoidal/Examples/MonadsAsMonoidsElementary.v
Monoidal/Examples/MonoidalPointedObjects.v
Monoidal/Displayed/MonoidalFunctorLifting.v
Monoidal/Examples/MonoidalDialgebras.v
Monoidal/Examples/SymmetricMonoidalDialgebras.v
Monoidal/Examples/PointedSetCartesianMonoidal.v
Monoidal/Examples/BinopCartesianMonoidal.v
Monoidal/Examples/SetWithSubset.v
Monoidal/Examples/SmashProductMonoidal.v
Monoidal/Examples/PosetsMonoidal.v
Monoidal/Examples/Fullsub.v
Monoidal/Examples/Relations.v
Monoidal/Examples/Sigma.v
Monoidal/Examples/DiagonalFunctor.v
Monoidal/Examples/ConstantFunctor.v

Monoidal/Comonoids/Category.v
Monoidal/Comonoids/Tensor.v
Monoidal/Comonoids/Monoidal.v
Monoidal/Comonoids/Symmetric.v
Monoidal/Comonoids/MonoidalCartesianBuilder.v
Monoidal/Comonoids/CommComonoidsCartesian.v
Monoidal/Comonoids/CartesianAsComonoids.v
Monoidal/Comonoids/TransportComonoidAlongRetraction.v

Monoidal/Examples/LiftPoset.v
Monoidal/Examples/SymmetricMonoidalCoEilenbergMoore.v

Monoidal/AlternativeDefinitions/MonoidalCategoriesReordered.v
Monoidal/AlternativeDefinitions/MonoidalCategoriesTensored.v
Monoidal/AlternativeDefinitions/EquivalenceWhiskeredNonCurriedMonoidalCategories.v
Monoidal/AlternativeDefinitions/MonoidalCategoriesCurried.v
Monoidal/AlternativeDefinitions/MonoidalFunctorsTensored.v
Monoidal/AlternativeDefinitions/MonoidalFunctorsCurried.v
Monoidal/AlternativeDefinitions/AugmentedSimplexCategory.v
Monoidal/AlternativeDefinitions/DisplayedMonoidalTensored.v
Monoidal/AlternativeDefinitions/DisplayedMonoidalCurried.v
Monoidal/AlternativeDefinitions/CategoriesOfMonoids.v
Monoidal/AlternativeDefinitions/BraidedMonoidalCategories.v
Monoidal/AlternativeDefinitions/TotalDisplayedMonoidalCurried.v
Monoidal/AlternativeDefinitions/MonoidalFunctorCategory.v

Actegories/Actegories.v
Actegories/ConstructionOfActegories.v
Actegories/MorphismsOfActegories.v
Actegories/ProductActegory.v
Actegories/ProductsInActegories.v
Actegories/CoproductsInActegories.v
Actegories/Examples/ActionOfEndomorphismsInCATElementary.v
Actegories/Examples/SelfActionInCATElementary.v
Actegories/ConstructionOfActegoryMorphisms.v
Actegories/ActionBasedStrongMonads.v

DisplayedCats/MoreFibrations/Prefibrations.v
DisplayedCats/MoreFibrations/CartesiannessOfComposites.v
DisplayedCats/MoreFibrations/FibrationsCharacterisation.v
DisplayedCats/MoreFibrations/DispCatsEquivFunctors.v
DisplayedCats/MoreFibrations/DisplayedDisplayedCats.v

SkewMonoidal/SkewMonoidalCategories.v
SkewMonoidal/CategoriesOfMonoids.v

EnrichedCats/Enrichment.v
EnrichedCats/EnrichmentFunctor.v
EnrichedCats/EnrichmentTransformation.v
EnrichedCats/FullyFaithful.v
EnrichedCats/EnrichmentAdjunction.v
EnrichedCats/EnrichmentMonad.v

EnrichedCats/Enriched/Enriched.v
EnrichedCats/Enriched/ChangeOfBase.v
EnrichedCats/Enriched/Opposite.v
EnrichedCats/Enriched/UnderlyingCategory.v
EnrichedCats/Enriched/EnrichmentEquiv.v

EnrichedCats/Examples/SelfEnriched.v

EnrichedCats/Limits/EnrichedTerminal.v
EnrichedCats/Limits/EnrichedBinaryProducts.v
EnrichedCats/Limits/EnrichedProducts.v
EnrichedCats/Limits/EnrichedEqualizers.v
EnrichedCats/Limits/EnrichedConicalLimits.v
EnrichedCats/Limits/EnrichedPowers.v
EnrichedCats/Limits/EnrichedLimits.v

EnrichedCats/Colimits/EnrichedInitial.v
EnrichedCats/Colimits/EnrichedBinaryCoproducts.v
EnrichedCats/Colimits/EnrichedCoproducts.v
EnrichedCats/Colimits/EnrichedCoequalizers.v
EnrichedCats/Colimits/EnrichedConicalColimits.v
EnrichedCats/Colimits/EnrichedCopowers.v
EnrichedCats/Colimits/EnrichedColimits.v
EnrichedCats/Colimits/CopowerFunctor.v

EnrichedCats/Examples/SetEnriched.v
EnrichedCats/Examples/PosetEnriched.v
EnrichedCats/Examples/StructureEnriched.v
EnrichedCats/Examples/SmashStructureEnriched.v
EnrichedCats/Examples/HomFunctor.v
EnrichedCats/Examples/OppositeEnriched.v
EnrichedCats/Examples/FunctorCategory.v
EnrichedCats/Examples/Yoneda.v

EnrichedCats/YonedaLemma.v

EnrichedCats/Examples/EmptyEnriched.v
EnrichedCats/Examples/UnitEnriched.v
EnrichedCats/Examples/FullSubEnriched.v
EnrichedCats/Examples/ImageEnriched.v
EnrichedCats/Examples/DialgebraEnriched.v
EnrichedCats/Examples/SliceEnriched.v
EnrichedCats/Examples/EilenbergMooreEnriched.v
EnrichedCats/Examples/ProductEnriched.v

EnrichedCats/Examples/ChangeOfBase.v

EnrichedCats/EnrichedRezkCompletion.v

EnrichedCats/Examples/KleisliEnriched.v
EnrichedCats/Examples/UnivalentKleisliEnriched.v

EnrichedCats/Limits/Examples/OppositeEnrichedLimits.v
EnrichedCats/Limits/Examples/PosetEnrichedLimits.v
EnrichedCats/Limits/Examples/StructureEnrichedLimits.v
EnrichedCats/Limits/Examples/SelfEnrichedLimits.v
EnrichedCats/Colimits/Examples/OppositeEnrichedColimits.v
EnrichedCats/Colimits/Examples/PosetEnrichedColimits.v
EnrichedCats/Colimits/Examples/StructureEnrichedColimits.v
EnrichedCats/Colimits/Examples/SelfEnrichedColimits.v

GrothendieckConstruction/TotalCategory.v
GrothendieckConstruction/IsosInTotal.v
GrothendieckConstruction/Projection.v
GrothendieckConstruction/IsOpfibration.v
GrothendieckConstruction/IsPullback.v

# Twosided displayed categories
TwoSidedDisplayedCats/TwoSidedDispCat.v
TwoSidedDisplayedCats/Isos.v
TwoSidedDisplayedCats/Univalence.v
TwoSidedDisplayedCats/Discrete.v
TwoSidedDisplayedCats/Total.v
TwoSidedDisplayedCats/TwoSidedFibration.v
TwoSidedDisplayedCats/Fiber.v

TwoSidedDisplayedCats/DisplayedFunctor.v
TwoSidedDisplayedCats/DisplayedNatTrans.v

TwoSidedDisplayedCats/Examples/Constant.v
TwoSidedDisplayedCats/Examples/DispCatOnTwoSidedDispCat.v
TwoSidedDisplayedCats/Examples/FiberwiseProduct.v

TwoSidedDisplayedCats/Examples/Arrow.v
TwoSidedDisplayedCats/Examples/Bimodules.v
TwoSidedDisplayedCats/Examples/Comma.v
TwoSidedDisplayedCats/Examples/IsoComma.v
TwoSidedDisplayedCats/Examples/Lenses.v
TwoSidedDisplayedCats/Examples/Product.v
TwoSidedDisplayedCats/Examples/ProdOfTwosidedDispCat.v
TwoSidedDisplayedCats/Examples/Profunctor.v
TwoSidedDisplayedCats/Examples/Reindex.v
TwoSidedDisplayedCats/Examples/Relations.v
TwoSidedDisplayedCats/Examples/Spans.v
TwoSidedDisplayedCats/Examples/StructuredCospans.v

# Indexed Categories
IndexedCategories/IndexedCategory.v
IndexedCategories/IndexedFunctor.v
IndexedCategories/IndexedTransformation.v

IndexedCategories/FibrationToIndexedCategory.v
IndexedCategories/CartesianToIndexedFunctor.v
IndexedCategories/NatTransToIndexed.v

IndexedCategories/IndexedCategoryToFibration.v
IndexedCategories/IndexedFunctorToCartesian.v
IndexedCategories/IndexedTransformationToTransformation.v

IndexedCategories/OpIndexedCategory.v
IndexedCategories/CoreIndexedCategory.v

# RepresentableFunctors
RepresentableFunctors/Precategories.v
RepresentableFunctors/Bifunctor.v
RepresentableFunctors/Representation.v
RepresentableFunctors/RawMatrix.v
RepresentableFunctors/DirectSum.v
RepresentableFunctors/Test.v

# Monoidal Rezk Completion
Monoidal/RezkCompletion/LiftedTensor.v
Monoidal/RezkCompletion/LiftedTensorUnit.v
Monoidal/RezkCompletion/LiftedUnitors.v
Monoidal/RezkCompletion/LiftedAssociator.v
Monoidal/RezkCompletion/LiftedMonoidal.v
Monoidal/RezkCompletion/MonoidalRezkCompletion.v

# Dagger categories
DaggerCategories/Categories.v
DaggerCategories/Unitary.v
DaggerCategories/Univalence.v
DaggerCategories/Functors.v
DaggerCategories/Transformations.v

DaggerCategories/FunctorCategory.v

DaggerCategories/Examples/Groupoids.v
DaggerCategories/Examples/Relations.v
DaggerCategories/Examples/Fullsub.v

DaggerCategories/Functors/WeakEquivalences.v
DaggerCategories/Functors/FullyFaithful.v

DaggerCategories/Functors/Factorization.v
DaggerCategories/Functors/Precomp.v

DaggerCategories/CatIso.v
