fact: Definition ρ_Thm15 (f : [C, C] ⟦ U Z, U (ptd_from_alg InitAlg) ⟧) : [C, C] ⟦ BinCoproductObject (CPEndC (U Z) (H `InitAlg)), `InitAlg ⟧ := @BinCoproductArrow EndC _ _ (CPEndC (U Z) (H (alg_carrier _ InitAlg))) (alg_carrier _ InitAlg) f (BinCoproductIn2 (CPEndC _ _) · (alg_map _ InitAlg)).
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monads.Monads UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Chains.All UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.PointedFunctorsComposition UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.SimplifiedHSS.SubstitutionSystems UniMath.SubstitutionSystems.GenMendlerIteration_alt UniMath.CategoryTheory.BicatOfCatsElementary UniMath.SubstitutionSystems.Notation