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Theorems · Theorem · nonassociative algebras

LieAlgebra.non_trivial_center_of_isNilpotent

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [Nontrivial L]
  [LieRing.IsNilpotent L], Nontrivial ↥(LieAlgebra.center R L)
Defined in
Mathlib.Algebra.Lie.Nilpotent
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Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebraNontrivialLieRing.IsNilpotent
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CommRing · cited by 17173CommRingNontrivial · cited by 2416NontrivialLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieRing.IsNilpotent · cited by 176LieRing.IsNilpotentLieAlgebra.center · cited by 23LieAlgebra.centerLieModule.nontrivial_max_triv_of_isNilpotent · cited by 2LieModule.nontrivial_max_…LieAlgebra.non_trivial_center…CITED BYCITES

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