Lemma adjointification_forms_equivalence : forms_equivalence (F,, G,, pr1 ηntiso,, pr1 ε'ntiso). Proof. split. - cbn. apply (nat_trafo_pointwise_z_iso_if_z_iso _ ηntiso (pr2 ηntiso)). - cbn. apply (nat_trafo_pointwise_z_iso_if_z_iso _ ε'ntiso (pr2 ε'ntiso)). Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Adjunctions.Core.