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Theorems · Theorem · nonassociative algebras

LieIdeal.gc_map_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'),
  GaloisConnection (LieIdeal.map f) (LieIdeal.comap f)
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieRingLieAlgebraLieAlgebra
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Around this declaration

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

LieIdeal.map_sup · cited by 1LieIdeal.map_supCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieHom · cited by 382LieHomLieIdeal · cited by 282LieIdealGaloisConnection · cited by 253GaloisConnectionLieIdeal.map · cited by 33LieIdeal.mapLieIdeal.comap · cited by 21LieIdeal.comapLieIdeal.map_le_iff_le_comap · cited by 7LieIdeal.map_le_iff_le_co…LieIdeal.gc_map_comapCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.