proposition: Lemma isaprop_is_inverse_in_precat {C : category} (a b : ob C) (f : a --> b) (g : b --> a) : isaprop (is_inverse_in_precat f g).
proof: Proof. apply isapropdirprod; apply homset_property. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories