Lemma are_adjoints_restricted_adjunction : are_adjoints restricted_adjunction_left_adjoint restricted_adjunction_right_adjoint. Proof. use make_are_adjoints. - exact restricted_adjunction_unit. - exact restricted_adjunction_counit. - use make_form_adjunction. + intro; apply subtypePath; [intro; apply propproperty|]. apply triangle_id_left_ad. + intro; apply subtypePath; [intro; apply propproperty|]. apply triangle_id_right_ad. Defined.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.Foundations.Propositions. 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.Subcategory.Core. Require Import UniMath.CategoryTheory.Subcategory.Full. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.whiskering.