Definition two_out_of_three_comp (HF : adj_equivalence_of_cats F) (HG : adj_equivalence_of_cats G) : adj_equivalence_of_cats H. Proof. use (nat_iso_adj_equivalence_of_cats ν (pr2 ν)). exact (comp_adj_equivalence_of_cats HF HG). Defined.
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.