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Theorems · Theorem · nonassociative algebras

LieHom.IsIdealMorphism.eq

∀ {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'},
  f.IsIdealMorphism → LieIdeal.toLieSubalgebra R L' f.idealRange = f.range
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieRingLieAlgebraLieAlgebra
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Around this declaration

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

LieDerivation.IsKilling.killingForm_restrict_range_ad · cited by 2IsKilling.killingForm_res…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieHom · cited by 382LieHomLieIdeal.toLieSubalgebra · cited by 48LieIdeal.toLieSubalgebraLieHom.range · cited by 44LieHom.rangeLieHom.idealRange · cited by 17LieHom.idealRangeLieHom.IsIdealMorphism · cited by 10LieHom.IsIdealMorphismIsIdealMorphism.eqCITED BYCITES

Cites9

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Cited by1

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