Theorems · Theorem · nonassociative algebras
LieHom.coe_range
∀ {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 = Set.range ⇑f- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement · cited by 8,199
- Set.rangestatement · cited by 4,705
- 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.toLinearMapproof · cited by 74
- LieHom.rangestatement · cited by 44
- LinearMap.coe_rangeproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- LieHom.mem_idealRange_iffproof · cited by 1