Theorems · Theorem · nonassociative algebras
LieSubmodule.submodule_span_le_lieSpan
∀ {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}, Submodule.span R s ≤ ↑(LieSubmodule.lieSpan R L s)- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- Submodule.spanstatement · cited by 1,504
- LieRingModulestatement and proof · cited by 727
- Submodule.span_leproof · cited by 164
- LieSubmodule.toSubmodulestatement · cited by 150
- LieSubmodule.lieSpanstatement · cited by 22
- LieSubmodule.subset_lieSpanproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- LieSubmodule.lieIdeal_oper_eq_linear_spanproof · cited by 9