fact: Definition binaryProduct_pr_2_eqn {C:category} {a b:C} (prod : BinaryProduct a b) {c:C} (f : c --> a) (g : c --> b) : pr_2 prod ∘ binaryProductMap prod f g = g := maponpaths (HomPair_2 a b (opp_ob c)) (pr2 (pr1 (pr2 (pr2 prod) c (f,,g)))).
imports: UniMath.Foundations.Preamble UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.RepresentableFunctors.Bifunctor UniMath.CategoryTheory.RepresentableFunctors.Precategories UniMath.MoreFoundations.Tactics