Theorems · Theorem · nonassociative algebras

LieDerivation.inner_apply_apply

∀ (R : Type u_1) (L : Type u_2) (M : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M] (m : M)
  (m_1 : L), ((LieDerivation.inner R L M) m) m_1 = ⁅m_1, m⁆

Defined in

Mathlib.Algebra.Lie.Derivation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule