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Theorems · Theorem · nonassociative algebras

LieSubalgebra.coe_zero_iff_zero

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

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LieSubmodule.lie_abelian_iff_lie_self_eq_bot · cited by 3LieSubmodule.lie_abelian_…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieSubalgebra.ext_iff · cited by 1LieSubalgebra.ext_iffLieSubalgebra.coe_zero_iff_ze…CITED BYCITES

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