fact: Definition is_inverse_in_precat {C : precategory_data} {a b : C} (f : a --> b) (g : b --> a) := (f · g = identity a) × (g · f = identity b).
imports: UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories