fact: Definition path_precat (C D : precategory) (HD : has_homsets D) : C = D ≃ precategory_data_from_precategory C = D.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.catiso