Definition triangle_2_statement_from_adjunction {A B : category} (adj : adjunction A B) : triangle_2_statement adj := pr2 (pr2 adj). Coercion are_adjoints_from_adjunction {A B} (X : adjunction A B) : are_adjoints (left_functor X) (right_functor X). Proof. use make_are_adjoints. - exact(adjunit X). - exact(adjcounit X). - exact(form_adjunction_from_adjunction X). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. 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.Epis. Require Import UniMath.CategoryTheory.Epis. Require Import UniMath.CategoryTheory.SplitMonicsAndEpis. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Section HomSetIsoRightFromPartial. End HomSetIsoRightFromPartial. Section HomSetIsoLeftFromPartial. End HomSetIsoLeftFromPartial.