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LieAlgebra.IsSolvable.mk

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {k : ℕ},
  LieAlgebra.derivedSeries R L k = ⊥ → LieAlgebra.IsSolvable L
Defined in
Mathlib.Algebra.Lie.Solvable
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieIdeal.isSolvable_of_killingForm_apply_lie_eq_zero · cited by 2LieIdeal.isSolvable_of_ki…CommRing · cited by 17173CommRingBot.bot · cited by 4720Bot.botLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieAlgebra.derivedSeries · cited by 29LieAlgebra.derivedSeriesLieAlgebra.IsSolvable · cited by 24LieAlgebra.IsSolvableLieAlgebra.isSolvable_iff · cited by 5LieAlgebra.isSolvable_iffIsSolvable.mkCITED BYCITES

Cites8

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Cited by1

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