Theorems · Theorem · nonassociative algebras
LieHom.idealRange_eq_map
∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieRing L']
[inst_3 : LieAlgebra R L'] [inst_4 : LieAlgebra R L] (f : L →ₗ⁅R⁆ L'), f.idealRange = LieIdeal.map f ⊤- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement and proof · cited by 382
- LieIdealstatement · cited by 282
- LieIdeal.mapstatement and proof · cited by 33
- LieSubmodule.lieSpanproof · cited by 22
- LieSubmodule.extproof · cited by 20
- LieHom.idealRangestatement and proof · cited by 17
- LieHom.range_eq_mapproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- LieHom.map_le_idealRangeproof · cited by 1
- LieIdeal.derivedSeries_map_eqproof · cited by 1
- LieIdeal.lowerCentralSeries_map_eqproof · cited by 1
- LieHom.mem_idealRangeproof · cited by 0