proposition: Lemma are_adjoints_restricted_adjunction : are_adjoints restricted_adjunction_left_adjoint restricted_adjunction_right_adjoint.
proof: 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.
imports: UniMath.Foundations.Preamble UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.whiskering