Theorems · Theorem · nonassociative algebras
LieHom.map_le_idealRange
∀ {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') (I : LieIdeal R L),
LieIdeal.map f I ≤ f.idealRange- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.topproof · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- le_topproof · cited by 411
- LieHomstatement and proof · cited by 382
- LieIdealstatement and proof · cited by 282
- LieIdeal.mapstatement and proof · cited by 33
- LieHom.idealRangestatement · cited by 17
- LieHom.idealRange_eq_mapproof · cited by 4
- LieIdeal.map_monoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LieIdeal.map_comap_eqproof · cited by 2