Theorems · Theorem · nonassociative algebras
LieAlgebra.derivedSeriesOfIdeal_le
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I J : LieIdeal R L}
{k l : ℕ}, I ≤ J → l ≤ k → LieAlgebra.derivedSeriesOfIdeal R L k I ≤ LieAlgebra.derivedSeriesOfIdeal R L l J- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- le_reflproof · cited by 2,061
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- le_transproof · cited by 985
- Bracket.bracketproof · cited by 642
- LieIdealstatement and proof · cited by 282
- LieAlgebra.derivedSeriesOfIdealstatement and proof · cited by 28
- le_iff_eq_or_ltproof · cited by 20
- le_zero_iffproof · cited by 15
- LieAlgebra.derivedSeriesOfIdeal_succproof · cited by 14
- LieSubmodule.mono_lieproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- LieAlgebra.derivedSeriesOfIdeal_le_selfproof · cited by 3
- LieAlgebra.derivedSeriesOfIdeal_antitoneproof · cited by 1
- LieAlgebra.derivedSeriesOfIdeal_monoproof · cited by 0
- LieAlgebra.derivedSeriesOfIdeal_succ_leproof · cited by 0