proposition: Lemma is_right_adjoint_opposite' {C D : category} (F : functor C D) : is_left_adjoint (functor_op F) -> is_right_adjoint F.
proof: Proof. intro ila. apply (is_right_adjoint_opposite (functor_op F) ila). 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