Theorems · Theorem · nonassociative algebras
LieAlgebra.isSolvable_iff_int
∀ (L : Type v) [inst : LieRing L], LieAlgebra.IsSolvable L ↔ ∃ k, LieAlgebra.derivedSeries ℤ L k = ⊥
- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Quot.sound
- Assumes
- LieRing
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieIdealstatement · cited by 282
- LieAlgebra.derivedSeriesstatement and proof · cited by 29
- LieAlgebra.IsSolvablestatement and proof · cited by 24
- LieAlgebra.IsSolvable.casesOnproof · cited by 1
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