fact: Definition δ_law2_nicer : UU := ∏ Ze Ze', δ (Ze p• Ze') = # (pre_comp_functor (pr1 Ze)) (δ Ze') · # (post_comp_functor (pr1 Ze')) (δ Ze).
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.PointedFunctors UniMath.SubstitutionSystems.Signatures UniMath.CategoryTheory.BicatOfCatsElementary UniMath.SubstitutionSystems.Notation UniMath.CategoryTheory.PointedFunctorsComposition