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Theorems · Theorem · nonassociative algebras

LieSubalgebra.zero_mem

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (L' : LieSubalgebra R L),
  0 ∈ L'
Defined in
Mathlib.Algebra.Lie.Subalgebra
Cited by
3 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

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

LieSubalgebra.lieSpan_induction · cited by 9LieSubalgebra.lieSpan_ind…LieAlgebra.IsKilling.corootSpace_zero_eq_bot · cited by 2IsKilling.corootSpace_zer…LieAlgebra.IsKilling.isSemisimple_ad_of_mem_isCartanSubalgebra · cited by 1IsKilling.isSemisimple_ad…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraZeroMemClass.zero_mem · cited by 162ZeroMemClass.zero_memLieSubalgebra.zero_memCITED BYCITES

Cites5

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Cited by3

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