Theorems · Theorem · nonassociative algebras

LieAlgebra.of_nsmul

∀ {R : Type u_1} {L : Type u_3} {M : Type u_4} [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]
  (c : ↥(LieModule.Cohomology.twoCocycle R L M)) (n : ℕ) (x : L × M),
  (LieAlgebra.ofProd c) (n • x) = n • (LieAlgebra.ofProd c) x

Defined in

Mathlib.Algebra.Lie.Extension

Cited by

0 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule