Theorems · Theorem · nonassociative algebras

LieSubmodule.sSup_image_lieSpan_singleton

∀ (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] (N : LieSubmodule R L M),
  sSup ((fun x => LieSubmodule.lieSpan R L {x}) '' ↑N) = N

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule