fact: Definition QuotcategoryCompEq {A B C : ob PA} {f : Quotcategory_ob_mor⟦A, B⟧} {g : Quotcategory_ob_mor⟦B, C⟧} (QPC : QuotcategoryComp f g) : ∏ (f' : PA⟦A, B⟧) (e1 : setquotpr _ f' = f) (g' : PA⟦B, C⟧) (e2 : setquotpr _ g' = g), setquotpr _ (f' · g') = QuotcategoryCompMor QPC := pr2 QPC.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Monics UniMath.CategoryTheory.Epis UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.CategoriesWithBinOps UniMath.CategoryTheory.PrecategoriesWithAbgrops UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Kernels UniMath.CategoryTheory.Limits.Cokernels