Library HoTT.HoTT

A convenience file that loads most of the HoTT library. You can use it with "Require Import HoTT" in your files. But please do not use it in the HoTT library itself, or you are likely going to create a dependency loop.

Require Export HoTT.Basics.
Require Export HoTT.Types.
Require Export HoTT.WildCat.

Require Export HoTT.Cubical.DPath.
Require Export HoTT.Cubical.PathSquare.
Require Export HoTT.Cubical.DPathSquare.
Require Export HoTT.Cubical.PathCube.
Require Export HoTT.Cubical.DPathCube.

Require Export HoTT.Pointed.
Require Export HoTT.Truncations.

Require Export HoTT.HFiber.
Require Export HoTT.Projective.
Require Export HoTT.EquivGroupoids.

Require Export HoTT.Equiv.BiInv.
Require Export HoTT.Equiv.PathSplit.
Require Export HoTT.Equiv.Relational.

Require Export HoTT.Extensions.
Require Export HoTT.Misc.
Require Export HoTT.PathAny.

Require Export HoTT.Functorish.
Require Export HoTT.Factorization.
Require Export HoTT.Constant.

Require Export HoTT.Universes.Smallness.
Require Export HoTT.Universes.TruncType.
Require Export HoTT.Universes.ObjectClassifier.
Require Export HoTT.Universes.DProp.
Require Export HoTT.Universes.HProp.
Require Export HoTT.Universes.HSet.
Require Export HoTT.Universes.Automorphisms.
Require Export HoTT.Universes.BAut.
Require Export HoTT.Universes.Rigid.

Require Export HoTT.NullHomotopy.
Require Export HoTT.Idempotents.
Require Export HoTT.ExcludedMiddle.
Require Export HoTT.BoundedSearch.

Require Export HoTT.HIT.Interval.
Require Export HoTT.HIT.Flattening.
Require Export HoTT.HIT.FreeIntQuotient.
Require Export HoTT.HIT.SetCone.
Require Export HoTT.HIT.epi.
Require Export HoTT.HIT.unique_choice.
Require Export HoTT.HIT.iso.
Require Export HoTT.HIT.quotient.
Require Export HoTT.HIT.surjective_factor.
Require Export HoTT.HIT.V.

Require Export HoTT.Diagrams.Graph.
Require Export HoTT.Diagrams.Diagram.
Require Export HoTT.Diagrams.Cone.
Require Export HoTT.Diagrams.Cocone.
Require Export HoTT.Diagrams.DDiagram.
Require Export HoTT.Diagrams.ConstantDiagram.
Require Export HoTT.Diagrams.CommutativeSquares.
Require Export HoTT.Diagrams.Sequence.
Require Export HoTT.Diagrams.Span.
Require Export HoTT.Diagrams.ParallelPair.

Require Export HoTT.Limits.Pullback.
Require Export HoTT.Limits.Equalizer.
Require Export HoTT.Limits.Limit.

Require Export HoTT.Colimits.GraphQuotient.
Require Export HoTT.Colimits.Coeq.
Require Export HoTT.Colimits.Pushout.
Require Export HoTT.Colimits.SpanPushout.
Require Export HoTT.Colimits.Quotient.
Require Export HoTT.Colimits.Quotient.Choice.
Require Export HoTT.Colimits.MappingCylinder.
Require Export HoTT.Colimits.Sequential.
Require Export HoTT.Colimits.Colimit.
Require Export HoTT.Colimits.Colimit_Pushout.
Require Export HoTT.Colimits.Colimit_Coequalizer.
Require Export HoTT.Colimits.Colimit_Flattening.
Require Export HoTT.Colimits.Colimit_Prod.
Require Export HoTT.Colimits.Colimit_Pushout_Flattening.
Require Export HoTT.Colimits.Colimit_Sigma.

Require Export HoTT.Modalities.ReflectiveSubuniverse.
Require Export HoTT.Modalities.Modality.
Require Export HoTT.Modalities.Accessible.
Require Export HoTT.Modalities.Notnot.
Require Export HoTT.Modalities.Identity.
Require Export HoTT.Modalities.Localization.
Require Export HoTT.Modalities.Nullification.
Require Export HoTT.Modalities.Descent.
Require Export HoTT.Modalities.Separated.
Require Export HoTT.Modalities.Lex.
Require Export HoTT.Modalities.Topological.
Require Export HoTT.Modalities.Open.
Require Export HoTT.Modalities.Closed.
Require Export HoTT.Modalities.Fracture.
Require Export HoTT.Modalities.Meet.

Require Export HoTT.Modalities.CoreflectiveSubuniverse.

Require Export HoTT.Spaces.Nat.
Require Export HoTT.Spaces.BinInt.
Require Export HoTT.Spaces.Pos.

Require Export HoTT.Spaces.List.Core.
Require Export HoTT.Spaces.List.Theory.
Require Export HoTT.Spaces.List.Paths.

Require Export HoTT.Spaces.Cantor.

Require Export HoTT.Spaces.Circle.
Require Export HoTT.Spaces.TwoSphere.
Require Export HoTT.Spaces.Spheres.

Require Export HoTT.Spaces.BAut.Cantor.
Require Export HoTT.Spaces.BAut.Bool.
Require Export HoTT.Spaces.BAut.Bool.IncoherentIdempotent.

Require Export HoTT.Spaces.Finite.

Require Export HoTT.Spaces.Card.

Require Export HoTT.Spaces.No.

Require Export HoTT.Spaces.Torus.Torus.
Require Export HoTT.Spaces.Torus.TorusEquivCircles.
Require Export HoTT.Spaces.Torus.TorusHomotopy.

Require Export HoTT.Algebra.ooGroup.
Require Export HoTT.Algebra.Aut.
Require Export HoTT.Algebra.ooAction.
Require Export HoTT.Algebra.AbGroups.
Require Export HoTT.Algebra.AbSES.
Require Export HoTT.Algebra.Groups.
Require Export HoTT.Algebra.Rings.
Require Export HoTT.Algebra.Universal.Algebra.
Require Export HoTT.Algebra.Universal.Congruence.
Require Export HoTT.Algebra.Universal.Homomorphism.
Require Export HoTT.Algebra.Universal.Operation.
Require Export HoTT.Algebra.Universal.TermAlgebra.

Require Export HoTT.Analysis.Locator.

Require Export HoTT.Homotopy.HomotopyGroup.
Require Export HoTT.Homotopy.PinSn.
Require Export HoTT.Homotopy.WhiteheadsPrinciple.
Require Export HoTT.Homotopy.BlakersMassey.
Require Export HoTT.Homotopy.Freudenthal.
Require Export HoTT.Homotopy.Suspension.
Require Export HoTT.Homotopy.Smash.
Require Export HoTT.Homotopy.Wedge.
Require Export HoTT.Homotopy.Join.
Require Export HoTT.Homotopy.HSpace.
Require Export HoTT.Homotopy.ClassifyingSpace.
Require Export HoTT.Homotopy.CayleyDickson.
Require Export HoTT.Homotopy.EMSpace.
Require Export HoTT.Homotopy.HSpaceS1.
Require Export HoTT.Homotopy.Bouquet.
Require Export HoTT.Homotopy.EncodeDecode.
Require Export HoTT.Homotopy.Syllepsis.
Require Export HoTT.Homotopy.Hopf.

Require Export HoTT.Spectra.Spectrum.

Require Export HoTT.Tactics.
Require Export HoTT.Tactics.BinderApply.
Require Export HoTT.Tactics.EquivalenceInduction.
Require Export HoTT.Tactics.EvalIn.
Require Export HoTT.Tactics.Nameless.
Require Export HoTT.Tactics.RewriteModuloAssociativity.

Require Export HoTT.Sets.AC.
Require Export HoTT.Sets.GCH.
Require Export HoTT.Sets.GCHtoAC.
Require Export HoTT.Sets.Hartogs.
Require Export HoTT.Sets.Ordinals.
Require Export HoTT.Sets.Powers.

We do not export UnivalenceAxiom, FunextAxiom, or any of the files in Metatheory from this file. Thus, importing this file does not prevent you from tracking usage of Univalence and Funext theorem-by-theorem in the same way that the library does. If you want any of those files, you should import them separately.
We check that UnivalenceAxiom, FunextAxiom aren't being leaked. This is so that these can be imported seperately.
Fail Check HoTT.UnivalenceAxiom.univalence_axiom.
Fail Check HoTT.FunextAxiom.funext_axiom.