proposition: Lemma are_adjoints_closed_under_iso {A B : category} (F G : functor A B) (H : functor B A) (αiso : @z_iso [A,B] F G) (HF : are_adjoints F H) : are_adjoints G H.
proof: Proof. set (adj_data := are_adjoints_closed_under_iso_data F G H αiso HF). use make_are_adjoints. - exact (adjunit adj_data). - exact (adjcounit adj_data). - apply are_adjoints_closed_under_iso_laws. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Epis UniMath.CategoryTheory.SplitMonicsAndEpis UniMath.CategoryTheory.Monics UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering