Theorems · Theorem · nonassociative algebras
LieHom.isIdealMorphism_of_surjective
∀ {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'), Function.Surjective ⇑f → f.IsIdealMorphism- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 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
- LieSubalgebraproof · cited by 418
- LieHomstatement and proof · cited by 382
- LieIdealproof · cited by 282
- LieIdeal.toLieSubalgebraproof · cited by 48
- LieHom.rangeproof · cited by 44
- LieHom.IsIdealMorphismstatement · cited by 10
- LieHom.range_eq_topproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.