proposition: Lemma BinCoproductIn2CommutesHSET (A B : HSET) (CC : BinCoproduct A B)(C : HSET) (f : A --> C)(g: B --> C) (b:pr1 B): BinCoproductArrow CC f g (BinCoproductIn2 CC b) = g b.
proof: Proof. set (H1 := BinCoproductIn2Commutes _ _ _ CC _ f g). apply toforallpaths in H1. now apply H1. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.Coproducts UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Pushouts UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Categories.HSET.Core UniMath.Combinatorics.FiniteSets UniMath.MoreFoundations.Subtypes