Theorems · Theorem · nonassociative algebras

LieSubalgebra.mem_toSubmodule

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (L' : LieSubalgebra R L)
  {x : L}, x ∈ L'.toSubmodule ↔ x ∈ L'

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

4 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

CommRingLieRingLieAlgebra