∀ {R : Type u_1} [inst : Rack R] {G : Type u_2} [inst_1 : Group G] (f : ShelfHom R (Quandle.Conj G))
  (x x_1 : Rack.PreEnvelGroup R), x ≈ x_1 → Rack.toEnvelGroup.mapAux f x = Rack.toEnvelGroup.mapAux f x_1