fact: Definition are_conjugates {C C' D D' : category} {L : functor D C} {R : functor C D} {L' : functor D' C'} {R' : functor C' D'}{H : functor C C'} {K : functor D D' } (h : are_adjoints L R) (h' : are_adjoints L' R') (σ : DistrLaw L' L K H) (τ : DistrLaw K H R R') : UU := ∏ (A : D) (B : C) (f : (L A) --> B), φ_adj h' (nat_trans_data_from_nat_trans σ A · #H f) = #K (φ_adj h f) · nat_trans_data_from_nat_trans τ B.
imports: UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.UnitorsAndAssociatorsForEndofunctors UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Adjunctions.Core