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Theorems · Theorem · nonassociative algebras

LieAlgebra.IsSimple.eq_bot_or_eq_top

∀ {R : Type u_1} {L : Type u_2} {inst : CommRing R} {inst_1 : LieRing L} {inst_2 : LieAlgebra R L}
  [self : LieAlgebra.IsSimple R L] (I : LieIdeal R L), I = ⊥ ∨ I = ⊤
Defined in
Mathlib.Algebra.Lie.Semisimple.Defs
Cited by
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Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
LieAlgebra.IsSimple
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CommRing · cited by 17173CommRingTop.top · cited by 9680Top.topBot.bot · cited by 4720Bot.botLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieAlgebra.IsSimple · cited by 10LieAlgebra.IsSimpleIsSimple.eq_bot_or_eq_topCITED BYCITES

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