fact: Definition SpecializedGMIt_Thm15 (f : Ptd ⟦ Z, ptd_from_alg InitAlg ⟧) : ∃! h : [C, C] ⟦ ℓ (U Z) (pr1 InitAlg), pr1 InitAlg ⟧, # (ℓ (U Z)) (alg_map Id_H InitAlg) · h = pr1 (aux_iso_1 · θ'_Thm15 · aux_iso_2_inv) (pr1 InitAlg) · # (Const_plus_H (U Z)) h · ρ_Thm15 f := (SpecializedGMIt (pr1 InitAlg) (Const_plus_H (U Z)) (ρ_Thm15 f) (aux_iso_1 · θ'_Thm15 · aux_iso_2_inv)).
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.SubstitutionSystems UniMath.SubstitutionSystems.GenMendlerIteration_alt UniMath.CategoryTheory.BicatOfCatsElementary UniMath.SubstitutionSystems.Notation