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Theorems · Theorem · nonassociative algebras

LieIdeal.ker_incl

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L),
  I.incl.ker = ⊥
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
3 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LieIdeal.derivedSeries_eq_bot_iff · cited by 4LieIdeal.derivedSeries_eq…LieIdeal.comap_bracket_incl · cited by 1LieIdeal.comap_bracket_in…LieAlgebra.isExtension_of_surjective · cited by 0LieAlgebra.isExtension_of…CommRing · cited by 17173CommRingBot.bot · cited by 4720Bot.botLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieHom.ker · cited by 37LieHom.kerLieSubmodule.ext · cited by 20LieSubmodule.extLieIdeal.incl · cited by 17LieIdeal.inclLieIdeal.ker_inclCITED BYCITES

Cites8

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

Cited by3

Results whose statement or proof uses this declaration.