fact: Definition pair_equivalence_of_cats_counit_data : nat_trans_data (R ∙ L) (functor_identity _) := λ x, adjcounit HF (pr1 x) ,, adjcounit HG (pr2 x).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct