fact: Definition precat_from_folds_data : precategory_data := tpair (λ C : precategory_ob_mor, precategory_id_comp C) (pr1 (pr1 C)) (make_dirprod (I_func C)(@T_func C)).
imports: UniMath.Folds.UnicodeNotations UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.CategoryTheory.Core.Categories UniMath.Folds.folds_precat