Theorems · Theorem · nonassociative algebras

LieSubmodule.lieSpan_eq_bot_iff

∀ (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}, LieSubmodule.lieSpan R L s = ⊥ ↔ ∀ m ∈ s, m = 0

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule