proposition: Lemma transport_source_path {C : precategory} {x y z : ob C} (f g : y --> z) (e : y = x) : transportf (λ x' : ob C, precategory_morphisms x' z) e f = transportf (λ x' : ob C, precategory_morphisms x' z) e g -> f = g.
proof: Proof. induction e. intros H. apply H. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos