proposition: Lemma is_right_adjoint_opposite {C D : category} (F : functor C D) : is_left_adjoint F -> is_right_adjoint (functor_op F).
proof: Proof. intro ila. set (adj := make_adjunction _ (pr22 ila)). exists (functor_op (pr121 adj)). exact (are_adjoints_opposite adj). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.OppositeCategory.Core