Theorems · Theorem · nonassociative algebras

LieSubmodule.lcs_sup

∀ {R : Type u} {L : Type v} {M : Type w} [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] {N₁ N₂ : LieSubmodule R L M} {k : ℕ},
  LieSubmodule.lcs k (N₁ ⊔ N₂) = LieSubmodule.lcs k N₁ ⊔ LieSubmodule.lcs k N₂

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModule