proposition: Lemma precompWithBinCoproductArrow_eq (CCab : BinCoproduct a b) (CCcd : BinCoproduct c d) (f : a --> c) (g : b --> d) (k : c --> x) (h : d --> x) (fk : a --> x) (gh : b --> x): fk = f · k → gh = g · h → BinCoproductOfArrows _ CCab CCcd f g · BinCoproductArrow CCcd k h = BinCoproductArrow CCab (fk) (gh).
proof: Proof. intros H H'. rewrite H. rewrite H'. apply precompWithBinCoproductArrow. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.ProductCategory