Theorems · Theorem · nonassociative algebras
LieHom.surjective_rangeRestrict
∀ {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), Function.Surjective ⇑f.rangeRestrict- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 2 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.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- 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
- LieHom.mem_range_selfproof · cited by 5
- LieHom.rangeRestrictstatement · cited by 3
- LieHom.mem_rangeproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- LieAlgebra.isEngelian_of_isNoetherianproof · cited by 1
- LieHom.isNilpotent_rangeproof · cited by 1