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Theorems · Theorem · nonassociative algebras

LieIdeal.inclusion_injective

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I₁ I₂ : LieIdeal R L}
  (h : I₁ ≤ I₂), Function.Injective ⇑(LieIdeal.inclusion h)
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
2 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

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LieAlgebra.le_solvable_ideal_solvable · cited by 1LieAlgebra.le_solvable_id…LieAlgebra.abelian_radical_iff_solvable_is_abelian · cited by 0LieAlgebra.abelian_radica…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieHom · cited by 382LieHomLieIdeal · cited by 282LieIdealLieIdeal.inclusion · cited by 4LieIdeal.inclusionLieIdeal.inclusion_injectiveCITED BYCITES

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