Definition nat_iso_adj_equivalence_of_cats {C₁ C₂ : category} {F G : C₁ ⟶ C₂} (α : F ⟹ G) (Hα : is_nat_z_iso α) (HF : adj_equivalence_of_cats F) : adj_equivalence_of_cats G := adjointification (nat_z_iso_equivalence_of_cats α Hα HF).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.PrecategoryBinProduct.