proposition: Lemma isaprop_form_adjunction {A B : category} (F : functor A B) (G : functor B A) (eta : nat_trans (functor_identity A) (functor_composite F G)) (eps : nat_trans (functor_composite G F) (functor_identity B)) : isaprop (form_adjunction F G eta eps).
proof: Proof. apply isapropdirprod; apply impred_isaprop; intro. - apply B. - apply A. 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