Theorems · Theorem · nonassociative algebras

LieSubalgebra.lieSpan_le

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {s : Set L}
  {K : LieSubalgebra R L}, LieSubalgebra.lieSpan R L s ≤ K ↔ s ⊆ ↑K

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

7 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra