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Theorems · Theorem · nonassociative algebras

LieIdeal.incl_range

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
  I.incl.range = LieIdeal.toLieSubalgebra R L I
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

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

LieIdeal.incl_idealRange · cited by 3LieIdeal.incl_idealRangeLieAlgebra.isExtension_of_surjective · cited by 0LieAlgebra.isExtension_of…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieIdeal · cited by 282LieIdealLieIdeal.toLieSubalgebra · cited by 48LieIdeal.toLieSubalgebraLieHom.range · cited by 44LieHom.rangeLieIdeal.incl · cited by 17LieIdeal.inclLieSubalgebra.incl_range · cited by 2LieSubalgebra.incl_rangeLieIdeal.incl_rangeCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.