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Theorems · Theorem · nonassociative algebras

nsmul_lie

∀ {L : Type v} {M : Type w} [inst : LieRing L] [inst_1 : AddCommGroup M] [inst_2 : LieRingModule L M] (x : L) (m : M)
  (n : ℕ), ⁅n • x, m⁆ = n • ⁅x, m⁆
Defined in
Mathlib.Algebra.Lie.Basic
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
LieRingAddCommGroupLieRingModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsSl2Triple.HasPrimitiveVectorWith.mk' · cited by 0HasPrimitiveVectorWith.mk'AddCommGroup · cited by 12871AddCommGroupLieRing · cited by 1548LieRingLieRingModule · cited by 727LieRingModuleBracket.bracket · cited by 642Bracket.bracketadd_lie · cited by 20add_lieAddMonoidHom.map_nsmul · cited by 18AddMonoidHom.map_nsmulzero_lie · cited by 16zero_liensmul_lieCITED BYCITES

Cites7

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Cited by1

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