Theorems · Theorem · nonassociative algebras
LieHom.range_eq_map
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {L₂ : Type w}
[inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂] (f : L →ₗ⁅R⁆ L₂), f.range = LieSubalgebra.map f ⊤- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Top.topstatement and proof · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement · cited by 418
- LieHomstatement and proof · cited by 382
- LieHom.rangestatement and proof · cited by 44
- LieSubalgebra.mapstatement and proof · cited by 14
- LieSubalgebra.extproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- LieHom.idealRange_eq_mapproof · cited by 4