Theorems · Theorem · nonassociative algebras
LieSubmodule.lieSpan_eq
∀ {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), LieSubmodule.lieSpan R L ↑N = N- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, 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.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coestatement · cited by 8,199
- le_antisymmproof · cited by 2,068
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement and proof · cited by 489
- Eq.subsetproof · cited by 124
- LieSubmodule.lieSpanstatement · cited by 22
- LieSubmodule.lieSpan_leproof · cited by 17
- LieSubmodule.subset_lieSpanproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- LieSubmodule.coe_lieSpan_submodule_eq_iffproof · cited by 3