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Theorems · Theorem · nonassociative algebras

LieIdeal.mem_comap

∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieRing L']
  [inst_3 : LieAlgebra R L'] [inst_4 : LieAlgebra R L] {f : L →ₗ⁅R⁆ L'} {J : LieIdeal R L'} {x : L},
  x ∈ LieIdeal.comap f J ↔ f x ∈ J
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
1 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext
Assumes
CommRingLieRingLieRingLieAlgebraLieAlgebra
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Around this declaration

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

LieIdeal.isSolvable_of_killingForm_apply_lie_eq_zero · cited by 2LieIdeal.isSolvable_of_ki…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieHom · cited by 382LieHomLieIdeal · cited by 282LieIdealLieIdeal.comap · cited by 21LieIdeal.comapLieIdeal.mem_comapCITED BYCITES

Cites7

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Cited by1

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