∀ {B : Type u_3} [inst : CategoryTheory.Bicategory B] {a b : CategoryTheory.Bicategory.Adj B} {a_1 b_1 c : a ⟶ b}
  (x : CategoryTheory.Bicategory.Adj.Hom₂ a_1 b_1) (y : CategoryTheory.Bicategory.Adj.Hom₂ b_1 c),
  (CategoryTheory.Bicategory.conjugateEquiv c.adj a_1.adj) (CategoryTheory.CategoryStruct.comp x.τl y.τl) =
    CategoryTheory.CategoryStruct.comp y.τr x.τr