proposition: Lemma ητ_is_out_inv : BinCoproductArrow (CP I_{ Mon_V} (H t)) η τ = out_inv.
proof: Proof. apply pathsinv0, BinCoproductArrowEta. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.FunctorCoalgebras UniMath.CategoryTheory.coslicecat UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Chains.Chains UniMath.CategoryTheory.Chains.Adamek UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.CompletelyIterativeAlgebras UniMath.CategoryTheory.Chains.OmegaCocontFunctors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.ConstructionOfActegories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.Actegories.CoproductsInActegories UniMath.CategoryTheory.Monoidal.Examples.MonoidalPointedObjects UniMath.SubstitutionSystems.GeneralizedSubstitutionSystems UniMath.SubstitutionSystems.ActionScenarioForGenMendlerIteration_alt UniMath.SubstitutionSystems.SigmaMonoids