Theorems · Theorem · nonassociative algebras
LieSubmodule.lie_le_right
∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
[inst_3 : Module R M] [inst_4 : LieRingModule L M] (N : LieSubmodule R L M) [inst_5 : LieAlgebra R L]
(I : LieIdeal R L), ⁅I, N⁆ ≤ N- Defined in
- Mathlib.Algebra.Lie.IdealOperations
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketstatement and proof · cited by 642
- LieSubmodulestatement and proof · cited by 489
- LieIdealstatement and proof · cited by 282
- LieSubmodule.lie_memproof · cited by 23
Cited by7
Results whose statement or proof uses this declaration.
- LieModule.antitone_lowerCentralSeriesproof · cited by 6
- LieSubmodule.lie_le_leftproof · cited by 4
- LieSubmodule.lcs_le_selfproof · cited by 3
- lie_eq_self_of_isAtom_of_ne_botproof · cited by 1
- LieSubmodule.lie_le_infproof · cited by 1
- LieIdeal.derivedSeries_succ_eq_top_iffproof · cited by 1
- LieSubmodule.lie_botproof · cited by 0