Lemma forall_isotoid (A : category) (a_is : is_univalent A) (a a' : A) (P : z_iso a a' -> UU) : (∏ e, P (idtoiso e)) → ∏ i, P i. Proof. intros H i. rewrite <- (idtoiso_isotoid _ a_is). apply H. Defined.
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.