proposition: Lemma make_adj_equivalence_of_cats'_counit_is_nat_trans : is_nat_trans _ _ make_adj_equivalence_of_cats'_counit_nat_trans_data.
proof: Proof. intros a a' f. symmetry. apply z_iso_inv_on_right. rewrite assoc. apply z_iso_inv_on_left. symmetry. apply nat_trans_ax. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core