Theorems · Theorem · nonassociative algebras
LieSubalgebra.lieSpan_eq
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (K : LieSubalgebra R L),
LieSubalgebra.lieSpan R L ↑K = K- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement · cited by 8,199
- le_antisymmproof · cited by 2,068
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- Eq.subsetproof · cited by 124
- LieSubalgebra.lieSpanstatement · cited by 33
- LieSubalgebra.subset_lieSpanproof · cited by 19
- LieSubalgebra.lieSpan_leproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- LieSubalgebra.coe_lieSpan_submodule_eq_iffproof · cited by 0