Theorems · Theorem · nonassociative algebras

LieDerivation.coe_smul_linearMap

∀ {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] {S : Type u_4}
  [inst_7 : Monoid S] [inst_8 : DistribMulAction S M] [inst_9 : SMulCommClass R S M]
  [inst_10 : LieDerivation.SMulBracketCommClass S L M] (r : S) (D : LieDerivation R L M), ↑(r • D) = r • ↑D

Defined in

Mathlib.Algebra.Lie.Derivation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleMonoidDistribMulActionSMulCommClassLieDerivation.SMulBracketCommClass