Theorems · Theorem · nonassociative algebras

LieDerivation.ext_iff

∀ {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]
  {D1 D2 : LieDerivation R L M}, D1 = D2 ↔ ∀ (a : L), D1 a = D2 a

Defined in

Mathlib.Algebra.Lie.Derivation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule