proposition: Lemma actegory_bincoprod_antidistributor_nat_left (v : V) (cd1 cd2 : category_binproduct C C) (g : cd1 --> cd2) : actegory_bincoprod_antidistributor v (pr1 cd1) (pr2 cd1) · v ⊗^{Act}_{l} #(bincoproduct_functor BCP) g = #(bincoproduct_functor BCP) (v ⊗^{actegory_binprod Mon_V Act Act}_{l} g) · actegory_bincoprod_antidistributor v (pr1 cd2) (pr2 cd2).
proof: Proof. apply bincoprod_antidistributor_nat_left. 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