fact: Definition loc_precategory_ob_mor : precategory_ob_mor := tpair (λ ob : UU, ob -> ob -> UU) (ob C) (λ x y : ob C, RoofEqclass x y).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors