fact: Definition precategory_total_comp'' (C : precategory_data) : ∏ f g : total_morphisms C, precategory_target C f = precategory_source C g -> total_morphisms C.
imports: UniMath.Foundations.PartA UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Setcategories