Definition singleeq_SpecialGenMendlerIterationWithActegoryAndStrength (h : C ⟦v ⊗_{Act} μF, y⟧) : UU := actegory_bincoprod_antidistributor Mon_V CP Act _ _ _ · v ⊗^{Act}_{l} α · h = BinCoproductArrow (CP _ _) f (θ v μF · #H h · ρ).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Limits.Initial. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.FunctorAlgebras. Require Import UniMath.CategoryTheory.Chains.Chains. Require Import UniMath.CategoryTheory.Chains.Adamek. Require Import UniMath.CategoryTheory.Chains.OmegaCocontFunctors. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Actegories.Actegories. Require Import UniMath.CategoryTheory.Actegories.MorphismsOfActegories. Require Import UniMath.CategoryTheory.Actegories.CoproductsInActegories. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.SubstitutionSystems.GenMendlerIteration_alt. Require Import UniMath.SubstitutionSystems.GeneralizedSubstitutionSystems. Import BifunctorNotations. Import ActegoryNotations.