∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {M : Type u_1}
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : Module S M] [inst_6 : IsScalarTower R S M]
  (D D_1 : Derivation R S M), D = D_1 → D.liftKaehlerDifferential = D_1.liftKaehlerDifferential