Theorems · Theorem · nonassociative algebras
LieAlgebra.derivedLength_zero
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
[LieAlgebra.IsSolvable ↥I], LieAlgebra.derivedLengthOfIdeal R L I = 0 ↔ I = ⊥- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Set.ofPredproof · cited by 6,101
- Bot.botstatement and proof · cited by 4,720
- Set.Nonemptyproof · cited by 2,627
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieIdealstatement and proof · cited by 282
- Set.Nonempty.ne_emptyproof · cited by 65
- LieAlgebra.derivedSeriesproof · cited by 29
- LieAlgebra.derivedSeriesOfIdealproof · cited by 28
- LieAlgebra.IsSolvablestatement and proof · cited by 24
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