fact: Definition post_comp_functor_of_comp {A B C D E : category} (F : functor A [B,C]) (G : functor C D) (H : functor D E) : nat_z_iso (functor_composite F (post_comp_functor (functor_composite G H))) (functor_composite (functor_composite F (post_comp_functor G)) (post_comp_functor H)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.Lists UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Chains.All UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Limits UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Categories.HSET.Structures UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.Groupoids UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.SumOfSignatures UniMath.SubstitutionSystems.BinProductOfSignatures UniMath.SubstitutionSystems.MultiSorted_alt UniMath.CategoryTheory.Chains.OmegaContFunctors UniMath.SubstitutionSystems.ContinuitySignature.GeneralLemmas UniMath.SubstitutionSystems.ContinuitySignature.CommutingOfOmegaLimitsAndCoproducts UniMath.SubstitutionSystems.ContinuitySignature.ContinuityOfMultiSortedSigToFunctor UniMath.CategoryTheory.Limits.Preservation