proposition: Lemma adj_closed_under_nat_z_iso {C D : category} {F1 F2 : functor C D} (α : nat_z_iso F1 F2) (G : functor D C) : are_adjoints F2 G -> are_adjoints F1 G.
proof: Proof. intro adj. simple refine (are_adjoints_closed_under_iso F2 F1 G _ adj). apply z_iso_inv. apply z_iso_is_nat_z_iso. assumption. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric