Definition nat_trans_eq_weq : (alpha = beta) ≃ (∏ c, alpha c = beta c). Proof. eapply weqcomp. - apply subtypeInjectivity. intro x. apply isaprop_is_nat_trans. apply hsD. - apply weqtoforallpaths. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence.