∀ {R : Type u_1} [inst : Rack R] {G : Type u_2} [inst_1 : Group G] (f : ShelfHom R (Quandle.Conj G))
  {a b : Rack.PreEnvelGroup R} (a_1 : Rack.PreEnvelGroupRel' R a b),
  Rack.toEnvelGroup.mapAux f a = Rack.toEnvelGroup.mapAux f b