Theorems · Definition · nonassociative algebras
LieSubalgebra.gi
(R : Type u) →
(L : Type v) →
[inst : CommRing R] →
[inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → GaloisInsertion (LieSubalgebra.lieSpan R L) SetLike.coelieSpan forms a Galois insertion with the coercion from LieSubalgebra to Set.
- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 3 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.
Cites9
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
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement and proof · cited by 8,199
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- GaloisInsertionstatement · cited by 35
- LieSubalgebra.lieSpanstatement and proof · cited by 33
- LieSubalgebra.lieSpan_leproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- LieSubalgebra.span_emptyproof · cited by 0
- LieSubalgebra.span_iUnionproof · cited by 0
- LieSubalgebra.span_unionproof · cited by 0