proposition: Lemma actegory_coprod_antidistributor_nat_left (v : V) (cs1 cs2 : power_category I C) (g : cs1 --> cs2) : actegory_coprod_antidistributor v cs1 · v ⊗^{Act}_{l} #(coproduct_functor I CP) g = #(coproduct_functor I CP) (v ⊗^{actegory_power Mon_V I Act}_{l} g) · actegory_coprod_antidistributor v cs2.
proof: Proof. apply coprod_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