Theorems · Theorem · nonassociative algebras
LieIdeal.derivedSeries_map_eq
∀ {R : Type u} {L : Type v} {L' : Type w₁} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] {f : L' →ₗ⁅R⁆ L} (k : ℕ),
Function.Surjective ⇑f → LieIdeal.map f (LieAlgebra.derivedSeries R L' k) = LieAlgebra.derivedSeries R L k- Defined in
- Mathlib.Algebra.Lie.Solvable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Top.topproof · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Bracket.bracketproof · cited by 642
- LieHomstatement and proof · cited by 382
- LieIdealstatement and proof · cited by 282
- LieIdeal.mapstatement and proof · cited by 33
- LieAlgebra.derivedSeriesstatement and proof · cited by 29
- LieAlgebra.derivedSeriesOfIdealproof · cited by 28
- LieAlgebra.derivedSeriesOfIdeal_succproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Function.Surjective.lieAlgebra_isSolvableproof · cited by 0