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Theorems · Theorem · nonassociative algebras

LieAlgebra.le_solvable_ideal_solvable

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I J : LieIdeal R L},
  I ≤ J → LieAlgebra.IsSolvable ↥J → LieAlgebra.IsSolvable ↥I
Defined in
Mathlib.Algebra.Lie.Solvable
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

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LieAlgebra.LieIdeal.solvable_iff_le_radical · cited by 2LieIdeal.solvable_iff_le_…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieAlgebra.IsSolvable · cited by 24LieAlgebra.IsSolvableFunction.Injective.lieAlgebra_isSolvable · cited by 2Injective.lieAlgebra_isSo…LieIdeal.inclusion_injective · cited by 2LieIdeal.inclusion_inject…LieAlgebra.le_solvable_ideal_…CITED BYCITES

Cites7

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Cited by1

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