∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : CommRing B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] (I : Ideal B) [inst_5 : Algebra A B] (hI : I ^ 2 = ⊥)
  [inst_6 : IsScalarTower R A B] (f : A →ₐ[R] B)
  (e : (Ideal.Quotient.mkₐ R I).comp f = IsScalarTower.toAlgHom R A (B ⧸ I)) (x : A),
  ↑((derivationToSquareZeroOfLift I hI f e) x) = f x - (algebraMap A B) x