Mathlib Map

Theorems · Theorem · nonassociative algebras

LieIdeal.derivedSeries_eq_top

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (n : ℕ),
  LieAlgebra.derivedSeries R L 1 = ⊤ → LieAlgebra.derivedSeries R L n = ⊤
Defined in
Mathlib.Algebra.Lie.Solvable
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LieAlgebra.derivedSeries_lt_top_of_solvable · cited by 0LieAlgebra.derivedSeries_…CommRing · cited by 17173CommRingTop.top · cited by 9680Top.topLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieAlgebra.derivedSeries · cited by 29LieAlgebra.derivedSeriesLieIdeal.derivedSeries_succ_eq_top_iff · cited by 1LieIdeal.derivedSeries_su…LieIdeal.derivedSeries_eq_topCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.