proposition: Lemma BinProductOfArrows_compxid {a b c d : C} (f:C⟦ b, c ⟧) (g:C⟦ c, d ⟧) : BinProductOfArrows _ (CC c a) (CC b a) f (identity a) · BinProductOfArrows _ (CC _ _) (CC _ _) g (identity a) = BinProductOfArrows _ (CC _ _) (CC _ _) (f·g) (identity a).
proof: Proof. now rewrite BinProductOfArrows_comp, id_right. 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.Monics UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.FunctorCategory UniMath.Combinatorics.StandardFiniteSets