Mathlib Map

Theorems · Theorem · nonassociative algebras

LieAlgebra.derivedSeriesOfIdeal_antitone

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
  {k l : ℕ}, l ≤ k → LieAlgebra.derivedSeriesOfIdeal R L k I ≤ LieAlgebra.derivedSeriesOfIdeal R L l I
Defined in
Mathlib.Algebra.Lie.Solvable
Cited by
1 results in Mathlib
Foundations
Depth 28 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_of_derivedLength_succ · cited by 2LieAlgebra.derivedSeries_…CommRing · cited by 17173CommRingle_rfl · cited by 1558le_rflLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieIdeal · cited by 282LieIdealLieAlgebra.derivedSeriesOfIdeal · cited by 28LieAlgebra.derivedSeriesO…LieAlgebra.derivedSeriesOfIdeal_le · cited by 4LieAlgebra.derivedSeriesO…LieAlgebra.derivedSeriesOfIde…CITED 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.