fact: Definition loc_precategory_data : precategory_data := make_precategory_data loc_precategory_ob_mor (λ (x : ob C), IdRoofEqclass x) (fun (x y z : ob C) (f : RoofEqclass x y) (g : RoofEqclass y z) => pr1 (pr1 (roof_comp_iscontr x y z f g))).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors