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Theorems · Theorem · nonassociative algebras

LieSubalgebra.gc_map_comap

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {L₂ : Type w}
  [inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂] {f : L →ₗ⁅R⁆ L₂},
  GaloisConnection (LieSubalgebra.map f) (LieSubalgebra.comap f)
Defined in
Mathlib.Algebra.Lie.Subalgebra
Cited by
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Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebraLieRingLieAlgebra
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CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieHom · cited by 382LieHomGaloisConnection · cited by 253GaloisConnectionLieSubalgebra.map · cited by 14LieSubalgebra.mapLieSubalgebra.comap · cited by 5LieSubalgebra.comapLieSubalgebra.map_le_iff_le_comap · cited by 2LieSubalgebra.map_le_iff_…LieSubalgebra.gc_map_comapCITED BYCITES

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