Theorems · Theorem · nonassociative algebras
LieSubalgebra.lieSpan_neg
∀ (R : Type u) {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {s : Set L},
LieSubalgebra.lieSpan R L (-s) = LieSubalgebra.lieSpan R L s- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 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.
Cites16
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
- le_antisymmproof · cited by 2,068
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- neg_negproof · cited by 960
- LieSubalgebrastatement · cited by 418
- AddMemClass.add_memproof · cited by 229
- ZeroMemClass.zero_memproof · cited by 162
- SMulMemClass.smul_memproof · cited by 55
- neg_mem_iffproof · cited by 42
- LieSubalgebra.lieSpanstatement and proof · cited by 33
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.