Theorems · Theorem · nonassociative algebras

LieSubmodule.lieSpan_le

∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] [inst_4 : LieRingModule L M] {s : Set M} {N : LieSubmodule R L M},
  LieSubmodule.lieSpan R L s ≤ N ↔ s ⊆ ↑N

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

17 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule