Core/Bicat.v
Core/Invertible_2cells.v

Morphisms/Adjunctions.v
Morphisms/FullyFaithful.v
Morphisms/DiscreteMorphisms.v

Core/Examples/OpMorBicat.v
Morphisms/Examples/MorphismsInOp1Bicat.v
Core/Examples/OpCellBicat.v
Core/Unitors.v
Core/BicategoryLaws.v
Core/Univalence.v
Core/TransportLaws.v
Core/EquivToAdjequiv.v
Core/AdjointUnique.v
Core/UnivalenceOp.v
Core/Discreteness.v

Morphisms/ExtensionsAndLiftings.v
Morphisms/InternalStreetFibration.v
Morphisms/InternalStreetOpFibration.v

Morphisms/Properties/ContainsAdjEquiv.v
Morphisms/Properties/Composition.v
Morphisms/Properties/ClosedUnderInvertibles.v
Morphisms/Properties.v

Core/Examples/DiscreteBicat.v
Core/Examples/OneTypes.v
Core/Examples/PointedOneTypesBicat.v
Core/Examples/TwoType.v
Core/Examples/BicatOfUnivCats.v
Core/Examples/BicatOfCats.v
Core/Strictness.v
Core/Examples/StrictCats.v
Core/Examples/Initial.v
Core/Examples/Final.v
Core/Examples/BicategoryFromMonoidal.v
Core/Examples/BicategoryFromWhiskeredMonoidal.v
Core/Examples/FibSlice.v
Core/Examples/OpFibSlice.v

Morphisms/Properties/AdjunctionsRepresentable.v
Morphisms/Examples/MorphismsInBicatOfUnivCats.v
Morphisms/Examples/FibrationsInBicatOfUnivCats.v
Morphisms/Examples/FibrationsInStrictCats.v
Morphisms/Examples/MorphismsInOp2Bicat.v

DisplayedBicats/DispBicat.v
DisplayedBicats/DispInvertibles.v
DisplayedBicats/DispAdjunctions.v
DisplayedBicats/DispUnivalence.v
DisplayedBicats/CleavingOfBicat.v
DisplayedBicats/FiberCategory.v
DisplayedBicats/FiberBicategory/FiberBicategory1.v
DisplayedBicats/FiberBicategory/FiberBicategory2.v
DisplayedBicats/FiberBicategory.v
DisplayedBicats/Examples/Sigma.v
DisplayedBicats/Examples/DisplayedCatToBicat.v
DisplayedBicats/Examples/FullSub.v
DisplayedBicats/Examples/Slice.v
DisplayedBicats/Examples/Sub1Cell.v
DisplayedBicats/Examples/DispBicatOfDispCats.v
DisplayedBicats/Examples/Prod.v
DisplayedBicats/Examples/DispDepProd.v
DisplayedBicats/Examples/LiftDispBicat.v
DisplayedBicats/Examples/Trivial.v
DisplayedBicats/Examples/BicatOfInvertibles.v
DisplayedBicats/Examples/EndoMap.v

Core/Examples/StructuredCategories.v
DisplayedBicats/Examples/CategoriesWithStructure.v

MonoidalCategories/MonoidalFromBicategory.v
MonoidalCategories/EndofunctorsMonoidal.v
MonoidalCategories/PointedFunctorsMonoidal.v
MonoidalCategories/Actions.v
MonoidalCategories/ConstructionOfActions.v
MonoidalCategories/WhiskeredMonoidalFromBicategory.v
MonoidalCategories/ActionOfEndomorphismsInBicatWhiskered.v
MonoidalCategories/BicatOfWhiskeredMonCatsLax.v
MonoidalCategories/BicatOfWhiskeredMonCats.v
MonoidalCategories/EndofunctorsWhiskeredMonoidal.v
MonoidalCategories/PointedFunctorsWhiskeredMonoidal.v
MonoidalCategories/IdempotencePointedFunctorsWhiskeredMonoidal.v
MonoidalCategories/ActionBasedStrength.v
MonoidalCategories/ActionBasedStrongFunctorsMonoidal.v
MonoidalCategories/ActionOfEndomorphismsInBicat.v
MonoidalCategories/ActionBasedStrongFunctorCategory.v
MonoidalCategories/ActionsFormBicategory.v
MonoidalCategories/ActionBasedStrongFunctorsWhiskeredMonoidal.v
MonoidalCategories/BicatOfActegories.v
MonoidalCategories/BicatOfActionsInBicat.v

MonoidalCategories/UnivalenceMonCat/CurriedMonoidalCategories.v
MonoidalCategories/UnivalenceMonCat/EquivalenceWhiskeredCurried.v
MonoidalCategories/UnivalenceMonCat/UnitLayer.v
MonoidalCategories/UnivalenceMonCat/TensorLayer.v
MonoidalCategories/UnivalenceMonCat/TensorUnitLayer.v
MonoidalCategories/UnivalenceMonCat/AssociatorUnitorsLayer.v
MonoidalCategories/UnivalenceMonCat/FinalLayer.v
MonoidalCategories/UnivalenceMonCat/EquivalenceMonCatCurried.v
MonoidalCategories/UnivalenceMonCat/EquivalenceMonCatNonCurried.v

Core/Examples/Groupoids.v
PseudoFunctors/Display/Base.v
PseudoFunctors/Display/Map1Cells.v
PseudoFunctors/Display/Map2Cells.v
PseudoFunctors/Display/Identitor.v
PseudoFunctors/Display/Compositor.v
PseudoFunctors/Display/PseudoFunctorBicat.v
PseudoFunctors/Display/StrictIdentitor.v
PseudoFunctors/Display/StrictCompositor.v
PseudoFunctors/Display/StrictPseudoFunctorBicat.v
PseudoFunctors/PseudoFunctor.v
PseudoFunctors/Properties.v
PseudoFunctors/LocalEquivalenceProperties.v
PseudoFunctors/StrictPseudoFunctor.v
PseudoFunctors/Examples/Identity.v
PseudoFunctors/Examples/Composition.v
PseudoFunctors/Examples/Constant.v
PseudoFunctors/Examples/ApFunctor.v
PseudoFunctors/Examples/OpFunctor.v
PseudoFunctors/Examples/CatDiag.v
PseudoFunctors/Examples/PseudofunctorFromMonoidal.v
PseudoFunctors/Examples/Op2OfPseudoFunctor.v
PseudoFunctors/Examples/BicatOfCatToUnivCat.v
PseudoFunctors/Examples/PseudoFunctorsIntoCat.v
Transformations/PseudoTransformation.v
Transformations/Examples/Whiskering.v
Transformations/Examples/Unitality.v
Transformations/Examples/Associativity.v
Transformations/Examples/ApTransformation.v
Transformations/Examples/PseudoTransformationIntoCat.v
Modifications/Modification.v
Modifications/Examples/ApModification.v
Modifications/Examples/Unitality.v
Modifications/Examples/Associativity.v
Modifications/Examples/ModificationIntoCat.v
PseudoFunctors/Representable.v
PseudoFunctors/Yoneda.v
PseudoFunctors/Biequivalence.v
PseudoFunctors/Examples/StrictToPseudo.v
PseudoFunctors/Examples/Projection.v

MonoidalCategories/EquivalenceActegoriesAndActions.v

PseudoFunctors/Biadjunction.v
PseudoFunctors/UniversalArrow.v

DisplayedBicats/DispBicatSection.v

DisplayedBicats/Examples/PointedOneTypes.v
DisplayedBicats/Examples/DisplayedInserter.v
DisplayedBicats/Examples/Displayed2Inserter.v
DisplayedBicats/Examples/Algebras.v
DisplayedBicats/Examples/Add2Cell.v
DisplayedBicats/Examples/ContravariantFunctor.v
DisplayedBicats/Examples/Cofunctormap.v
DisplayedBicats/Examples/CwF.v
DisplayedBicats/Examples/LaxSlice.v
DisplayedBicats/Examples/FunctorsIntoCat.v
DisplayedBicats/Examples/Codomain.v
DisplayedBicats/DispPseudofunctor.v
DisplayedBicats/DispTransportLaws.v
DisplayedBicats/UnivalenceTechniques.v
Transformations/Examples/AlgebraMap.v
DisplayedBicats/Examples/Monads.v
DisplayedBicats/Examples/KleisliTriple.v
DisplayedBicats/Examples/EnrichedCats.v
DisplayedBicats/Examples/DispBicatOfTwoSidedDispCat.v
DisplayedBicats/DispTransformation.v
DisplayedBicats/DispModification.v
DisplayedBicats/DispBiequivalence.v
DisplayedBicats/ProductDispBiequiv.v

DoubleCategories/Basics/DoubleCategoryBasics.v
DoubleCategories/Basics/StrictDoubleCatBasics.v
DoubleCategories/Core/DoubleCats.v

DoubleCategories/Core/DoubleFunctor/Basics.v
DoubleCategories/Core/DoubleFunctor/LeftUnitor.v
DoubleCategories/Core/DoubleFunctor/RightUnitor.v
DoubleCategories/Core/DoubleFunctor/Associator.v
DoubleCategories/Core/DoubleFunctor.v
DoubleCategories/Core/DoubleTransformation.v
DoubleCategories/Core/BicatOfDoubleCats.v
DoubleCategories/Core/UnivalentDoubleCats.v

DoubleCategories/DerivedLaws/TransportLaws.v
DoubleCategories/DerivedLaws/Variations.v
DoubleCategories/DerivedLaws/Unitors.v
DoubleCategories/DerivedLaws.v

DoubleCategories/Core/InvertiblesAndEquivalences.v

DoubleCategories/Core/CatOfStrictDoubleCats.v
DoubleCategories/Core/CatOfPseudoDoubleCats.v
DoubleCategories/Core/StrictDoubleCats.v
DoubleCategories/Core/PseudoDoubleSetCats.v

DoubleCategories/Core/SymmetricUnivalent.v

DoubleCategories/Underlying/HorizontalBicategory.v
DoubleCategories/Underlying/VerticalTwoCategory.v
DoubleCategories/Underlying/VerticalTwoCategoryStrict.v

DoubleCategories/Core/CompanionsAndConjoints.v

DoubleCategories/Examples/UnitDoubleCat.v
DoubleCategories/Examples/ProductDoubleCat.v
DoubleCategories/Examples/DoubleCatOnDispCat.v
DoubleCategories/Examples/FullSubDoubleCat.v
DoubleCategories/Examples/OpDoubleCat.v
DoubleCategories/Examples/RelationsDoubleCat.v
DoubleCategories/Examples/EnrichedRelDoubleCat.v
DoubleCategories/Examples/LaxExtensionToFunctor.v
DoubleCategories/Examples/SquareDoubleCat.v
DoubleCategories/Examples/SquareDoubleCatTwo.v
DoubleCategories/Examples/Coreflections.v
DoubleCategories/Examples/ParaDoubleCat.v
DoubleCategories/Examples/LensesDoubleCat.v
DoubleCategories/Examples/SpansDoubleCat.v
DoubleCategories/Examples/KleisliDoubleCat.v
DoubleCategories/Examples/TransposeStrict.v
DoubleCategories/Examples/StructuredCospansDoubleCat.v
DoubleCategories/Examples/StructuredCospansDoubleFunctor.v
DoubleCategories/Examples/BiSetcatToDoubleCat.v
DoubleCategories/Examples/ProfunctorDoubleCat.v
DoubleCategories/Examples/EnrichedProfunctorDoubleCat.v
DoubleCategories/Examples/Coalgebras.v

DoubleCategories/Limits/DoubleTerminal.v

DoubleCategories/AlternativeDefinitions/DoubleCatsUnfolded.v
DoubleCategories/AlternativeDefinitions/DoubleCatsEquivalentDefinitions.v

DoubleCategories/DoubleBicat/VerityDoubleBicat.v
DoubleCategories/DoubleBicat/DerivedLaws.v
DoubleCategories/DoubleBicat/UnderlyingCats.v
DoubleCategories/Examples/TransposeDoubleBicat.v
DoubleCategories/DoubleBicat/CellsAndSquares.v
DoubleCategories/DoubleBicat/LocalUnivalence.v
DoubleCategories/Examples/HorizontalDual.v
DoubleCategories/DoubleBicat/CompanionPairs.v
DoubleCategories/DoubleBicat/CompanionPairUnique.v
DoubleCategories/DoubleBicat/CompanionPairAdjEquiv.v
DoubleCategories/DoubleBicat/Conjoints.v
DoubleCategories/DoubleBicat/GregariousEquivalence.v
DoubleCategories/DoubleBicat/GlobalUnivalence.v
DoubleCategories/DoubleBicat/Core.v

DoubleCategories/Examples/SquareDoubleBicat.v
DoubleCategories/Examples/MateDoubleBicat.v
DoubleCategories/Examples/DoubleCatToDoubleBicat.v
DoubleCategories/Examples/ProfunctorDoubleBicat.v
DoubleCategories/Examples/EnrichedProfunctorDoubleBicat.v

DisplayedBicats/Examples/MonadsLax.v
DisplayedBicats/Examples/DispBicatOnCatToUniv.v
PseudoFunctors/Examples/MonadInclusion.v
PseudoFunctors/Examples/OpFunctorEnriched.v

Monads/Examples/AdjunctionToMonad.v
Monads/Examples/ToMonadInCat.v
Monads/Examples/MonadsInBicatOfUnivCats.v
Monads/Examples/MonadsInBicatOfCats.v
Monads/Examples/MonadsInOp1Bicat.v
Monads/Examples/MonadsInOp2Bicat.v
Monads/Examples/MonadsInTotalBicat.v
Monads/Examples/MonadsInBicatOfEnrichedCats.v
Monads/DistributiveLaws.v
Monads/MixedDistributiveLaws.v
Monads/Examples/MonadsInMonads.v
Monads/Examples/Composition.v
Monads/Examples/PsfunctorOnMonad.v
Monads/LocalEquivalenceMonad.v

Core/Examples/Image.v
PseudoFunctors/Examples/CorestrictImage.v
Core/YonedaLemma.v

Limits/Final.v
Limits/Products.v
Limits/Pullbacks.v
Limits/CommaObjects.v
Limits/Inserters.v
Limits/IsoInserters.v
Limits/Equifiers.v
Limits/EilenbergMooreObjects.v
Limits/EilenbergMooreComonad.v

Monads/ConstructionOfAlgebras.v
Monads/MonadToAdjunction.v

Limits/Examples/OneTypesLimits.v
Limits/Examples/BicatOfCatsLimits.v
Limits/Examples/BicatOfUnivCatsLimits.v
Limits/Examples/BicatOfEnrichedCatsLimits.v
Limits/Examples/OpCellBicatLimits.v
Limits/Examples/UnivGroupoidsLimits.v
Limits/Examples/SliceBicategoryLimits.v
Limits/Examples/TotalBicategoryLimits.v
Limits/Examples/DispConstructionsLimits.v
Limits/Examples/SubbicatLimits.v
Limits/Examples/LimitsStructuredCategories.v

MonoidalCategories/BicatOfWhiskeredMonCatsFinalObject.v
Morphisms/Monadic.v
MonoidalCategories/MonoidalDialgebrasInserters.v
MonoidalCategories/BicatOfActegoriesFinalObject.v
MonoidalCategories/MonadsAsMonoidsWhiskered.v
Monads/Examples/MonadsInStructuredCategories.v

Limits/ProductEquivalences.v
Limits/PullbackFunctions.v
Limits/PullbackEquivalences.v
Limits/InserterEquivalences.v
Limits/EquifierEquivalences.v

OrthogonalFactorization/Orthogonality.v
OrthogonalFactorization/FactorizationSystem.v

Morphisms/Eso.v
Morphisms/Properties/Projections.v
Morphisms/Properties/ClosedUnderPullback.v
Morphisms/Properties/EsoProperties.v
Morphisms/Examples/MorphismsInOneTypes.v
Morphisms/Examples/EsosInBicatOfUnivCats.v
Morphisms/Examples/MorphismsInSliceBicat.v
Morphisms/Examples/MorphismsInStructuredCat.v
Morphisms/Examples/MorphismsInBicatOfEnrichedCats.v

OrthogonalFactorization/EsoFactorizationSystem.v
OrthogonalFactorization/EnrichedEsoFactorization.v

Colimits/Initial.v
Colimits/Coproducts.v
Colimits/Extensive.v
Colimits/KleisliObjects.v

Limits/Examples/OpMorBicatLimits.v

Colimits/Examples/OpCellBicatColimits.v
Colimits/Examples/OneTypesColimits.v
Colimits/Examples/BicatOfCatsColimits.v
Colimits/Examples/BicatOfUnivCatsColimits.v
Colimits/Examples/BicatOfEnrichedCatsColimits.v
Colimits/Examples/SliceBicategoryColimits.v

Colimits/CoproductEquivalences.v

Morphisms/Properties/FromInitial.v

Objects/CartesianObject.v
Objects/CocartesianObject.v

Objects/Examples/BicatOfUnivCatsObjects.v

PseudoFunctors/Examples/ConstProduct.v
PseudoFunctors/Examples/CurryingInBicatOfCats.v
PseudoFunctors/PseudoFunctorLimits.v
DisplayedBicats/DispBiadjunction.v
PseudoFunctors/Examples/PathGroupoid.v
DisplayedBicats/DispToFiberEquivalence.v
DisplayedBicats/DispBuilders.v
DisplayedBicats/Examples/MonadKtripleBiequiv.v
DisplayedBicats/Examples/PointedGroupoid.v
PseudoFunctors/Examples/LiftingActegories.v
PseudoFunctors/Examples/ChangeOfBaseEnriched.v
WkCatEnrichment/prebicategory.v
WkCatEnrichment/Notations.v
WkCatEnrichment/whiskering.v
WkCatEnrichment/Cat.v
WkCatEnrichment/internal_equivalence.v
WkCatEnrichment/bicategory.v
WkCatEnrichment/hcomp_bicat.v
PseudoFunctors/Examples/Strictify.v

PseudoFunctors/Preservation/Preservation.v
PseudoFunctors/Preservation/BiadjunctionPreservation.v
PseudoFunctors/Preservation/BiadjunctionPreserveProducts.v
PseudoFunctors/Preservation/BiadjunctionPreserveInserters.v
PseudoFunctors/Preservation/BiadjunctionPreserveEquifiers.v
PseudoFunctors/Preservation/BiadjunctionPreserveCoproducts.v
PseudoFunctors/Preservation/ClosedUnderEquivalence.v

BicategoryOfBicat.v
BicatOfBicategory.v

DisplayedBicats/Cartesians.v
DisplayedBicats/EquivalenceBetweenCartesians.v
DisplayedBicats/CleavingOfBicatIsAProp.v
DisplayedBicats/CartesianPseudoFunctor.v
DisplayedBicats/ExamplesOfCleavings/TrivialCleaving.v
DisplayedBicats/ExamplesOfCleavings/SliceCleaving.v
DisplayedBicats/ExamplesOfCleavings/FunctorsIntoCatCleaving.v
DisplayedBicats/ExamplesOfCleavings/CodomainCleaving.v
DisplayedBicats/ExamplesOfCleavings/FibrationCleaving.v
DisplayedBicats/ExamplesOfCleavings/OpFibrationCleaving.v

DisplayedBicats/FiberBicategory/FunctorFromCleaving.v

PseudoFunctors/Examples/Reindexing.v

Logic/DisplayMapBicat.v
DisplayedBicats/Examples/DisplayMapBicatToDispBicat.v
DisplayedBicats/Examples/DisplayMapBicatSlice.v
DisplayedBicats/ExamplesOfCleavings/DisplayMapBicatCleaving.v

PseudoFunctors/Examples/PullbackFunctor.v
PseudoFunctors/Examples/CompositionPseudoFunctor.v

PseudoFunctors/Preservation/PullbackPreservation.v

Limits/Examples/DisplayMapSliceLimits.v
Colimits/Examples/DisplayMapSliceColimits.v

DisplayedBicats/FiberBicategory/TrivialFiber.v
DisplayedBicats/FiberBicategory/CodomainFiber.v
DisplayedBicats/FiberBicategory/SliceFiber.v
DisplayedBicats/FiberBicategory/DisplayMapFiber.v

Grothendieck/FibrationToPseudoFunctor.v
Grothendieck/PseudoFunctorToFibration.v
Grothendieck/Unit.v
Grothendieck/Counit.v
Grothendieck/Biequivalence.v
Grothendieck/FiberwiseEquiv.v

ComprehensionCat/BicatOfCompCat/DispCatTerminal.v
ComprehensionCat/BicatOfCompCat/FibTerminal.v
ComprehensionCat/BicatOfCompCat/CompCat.v
ComprehensionCat/BicatOfCompCat/FullCompCat.v
ComprehensionCat/BicatOfCompCat.v
ComprehensionCat/CompCatNotations.v
ComprehensionCat/TypeFormers/UnitTypes.v
ComprehensionCat/TypeFormers/ProductTypes.v
ComprehensionCat/TypeFormers/EqualizerTypes.v
ComprehensionCat/TypeFormers/Democracy.v
ComprehensionCat/TypeFormers/SigmaTypes.v
ComprehensionCat/TypeFormers/PiTypes.v
ComprehensionCat/DFLCompCat.v
ComprehensionCat/DFLCompCatNotations.v
ComprehensionCat/ComprehensionEso.v
ComprehensionCat/Biequivalence/DFLCompCatToFinLim.v
ComprehensionCat/Biequivalence/FinLimToDFLCompCat.v
ComprehensionCat/Biequivalence/Unit.v
ComprehensionCat/Biequivalence/Counit.v
ComprehensionCat/Biequivalence/Biequiv.v

ComprehensionCat/LocalProperty/LocalProperties.v
ComprehensionCat/LocalProperty/Examples.v
ComprehensionCat/LocalProperty/CatWithProp.v
ComprehensionCat/LocalProperty/DFLCompCatWithProp.v
ComprehensionCat/Biequivalence/LocalProperty.v

ComprehensionCat/TypeFormers/SubobjectTypes.v
ComprehensionCat/Biequivalence/SubobjectClassifier.v
ComprehensionCat/Biequivalence/PiTypesBiequiv.v
ComprehensionCat/Biequivalence/InternalLanguageTopos.v

Logic/ComprehensionBicat.v

Logic/Examples/TrivialComprehensionBicat.v
Logic/Examples/PullbackComprehensionBicat.v
Logic/Examples/FibrationsComprehensionBicat.v
Logic/Examples/OpfibrationsComprehensionBicat.v
Logic/Examples/DisplayMapComprehensionBicat.v
Logic/Examples/FunctorsIntoCatComprehensionBicat.v

OtherStructure/DualityInvolution.v
OtherStructure/DualityInvolutionProperties.v
OtherStructure/ClassifyingDiscreteOpfib.v
OtherStructure/Exponentials.v
OtherStructure/Cores.v
OtherStructure/Examples/StructureBicatOfUnivCats.v
OtherStructure/Examples/StructureOneTypes.v
OtherStructure/Examples/StructureBicatOfEnrichedCats.v

DisplayedBicats/DisplayedUniversalArrow.v
DisplayedBicats/DisplayedUniversalArrowOnCat.v

RezkCompletions/BicatToLocalUnivalentBicat.v
RezkCompletions/RezkCompletionOfBicategory.v
RezkCompletions/Uniqueness.v
RezkCompletions/StructuredCats/TerminalObject.v
RezkCompletions/StructuredCats/BinProducts.v

DaggerCategories/BicatOfDaggerCats.v
