Theorems · Theorem · nonassociative algebras
LieSubalgebra.mem_ofLe
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
{K K' : LieSubalgebra R L} (h : K ≤ K') (x : ↥K'), x ∈ LieSubalgebra.ofLe h ↔ ↑x ∈ K- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 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.
Cites6
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
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieSubalgebra.ofLestatement · cited by 8
- LieSubalgebra.inclusionproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- LieSubalgebra.ofLe_eq_comap_inclproof · cited by 0