proposition: Lemma actegory_bincoprod_antidistributor_nat_right (v1 v2 : V) (cd : category_binproduct C C) (f : v1 --> v2) : actegory_bincoprod_antidistributor v1 (pr1 cd) (pr2 cd) · f ⊗^{ Act}_{r} bincoproduct_functor BCP cd = #(bincoproduct_functor BCP) (f ⊗^{ actegory_binprod Mon_V Act Act}_{r} cd) · actegory_bincoprod_antidistributor v2 (pr1 cd) (pr2 cd).
proof: Proof. apply bincoprod_antidistributor_nat_right. 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.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.Actegories.ProductActegory UniMath.CategoryTheory.Actegories.ConstructionOfActegories UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.ProductCategory UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts