proposition: Lemma z_iso_inv_to_left {C : precategory} (a b c : ob C) (f : z_iso a b) (g : b --> c) (h : a --> c) : inv_from_z_iso f · h = g -> h = f · g.
proof: Proof. intro H. intermediate_path (f · inv_from_z_iso f · h). - rewrite z_iso_inv_after_z_iso, id_left; apply idpath. - rewrite <- assoc. apply maponpaths. assumption. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories