Theorems · Definition · linear algebra
Matrix.singleLinearMap
{m : Type u_2} →
{n : Type u_3} →
(R : Type u_5) →
{α : Type u_7} →
[DecidableEq m] →
[DecidableEq n] →
[inst : Semiring R] → [inst_1 : AddCommMonoid α] → [inst_2 : Module R α] → m → n → α →ₗ[R] Matrix m n αMatrix.single as a bundled linear map.
- Defined in
- Mathlib.Data.Matrix.Basis
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, 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.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Matrixstatement and proof · cited by 4,303
- AddMonoidHomproof · cited by 3,230
- ZeroHom.toFunproof · cited by 101
- AddMonoidHom.toZeroHomproof · cited by 61
- Matrix.singleAddMonoidHomproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- kroneckerTMulLinearEquivproof · cited by 9
- LieAlgebra.SpecialLinear.singleSubSingleproof · cited by 4
- Matrix.ext_linearMapstatement and proof · cited by 3
- LieAlgebra.SpecialLinear.singleproof · cited by 3
- Matrix.liftLinear_comp_singleLinearMapstatement · cited by 1
- Matrix.singleLinearMap_applystatement and proof · cited by 1
- kroneckerTMulLinearEquiv_mulproof · cited by 0
- Matrix.liftLinear_singleLinearMapstatement and proof · cited by 0
- Matrix.ext_linearMap_iffstatement and proof · cited by 0