proposition: Lemma precompWithCoproductArrow' (I : UU) (C : category) {a : I -> C} (CCab : Coproduct _ _ a) {c : I -> C} (CCcd : Coproduct _ _ c) (f : ∏ i, a i --> c i) {x : C} (k : ∏ i, c i --> x) : CoproductOfArrows' _ _ CCab CCcd f · CoproductArrow _ _ CCcd k = CoproductArrow _ _ CCab (λ i, f i · k i).
proof: Proof. apply precompWithCoproductArrowInclusion. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.ProductCategory UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.whiskering