proposition: Lemma catiso_to_precategory_path_f {A B : precategory} (hs : has_homsets A) (F : catiso A B) : A = B.
proof: Proof. use total2_paths_b. - exact (catiso_to_precategory_data_path F). - apply proofirrelevance, isaprop_is_precategory. apply hs. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful