Theorems · Theorem · commutative algebra

Derivation.leibniz_inv

∀ {R : Type u_1} [inst : CommRing R] {M : Type u_3} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {K : Type u_4}
  [inst_3 : Field K] [inst_4 : Module K M] [inst_5 : Algebra R K] (D : Derivation R K M) (a : K), D a⁻¹ = -a⁻¹ ^ 2 • D a

Defined in

Mathlib.RingTheory.Derivation.Basic

Cited by

2 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleFieldModuleAlgebra