Lemma idtoiso_postcompose_iso (C : category) (a b b' : ob C) (p : b = b') (f : z_iso a b) : z_iso_comp f (idtoiso p) = transportf (λ b, z_iso a b) p f. Proof. destruct p. apply z_iso_eq. apply id_right. Qed.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos.