Theorems · Theorem · commutative algebra

Derivation.leibniz_invOf

∀ {R : Type u_1} [inst : CommRing R] {A : Type u_2} [inst_1 : CommRing A] [inst_2 : Algebra R A] {M : Type u_3}
  [inst_3 : AddCommGroup M] [inst_4 : Module A M] [inst_5 : Module R M] (D : Derivation R A M) (a : A)
  [inst_6 : Invertible a], D ⅟a = -⅟a ^ 2 • D a

Defined in

Mathlib.RingTheory.Derivation.Basic

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommRingCommRingAlgebraAddCommGroupModuleModuleInvertible