Theorems · Theorem · nonassociative algebras
LieSubalgebra.span_empty
∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L], LieSubalgebra.lieSpan R L ∅ = ⊥
- 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
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Bot.botstatement · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement · cited by 418
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_botproof · cited by 63
- LieSubalgebra.lieSpanstatement · cited by 33
- LieSubalgebra.giproof · cited by 3
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