Theorems · Definition · linear algebra
Matrix.diagonalRingHom
(n : Type u_3) →
(α : Type u_11) →
[inst : NonAssocSemiring α] → [inst_1 : Fintype n] → [inst_2 : DecidableEq n] → (n → α) →+* Matrix n n αMatrix.diagonal as a RingHom.
- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- AddMonoidHomproof · cited by 3,230
- NonAssocSemiringstatement and proof · cited by 805
- Matrix.diagonalproof · cited by 314
- Matrix.diagonalAddMonoidHomproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Matrix.scalarproof · cited by 62
- Matrix.diagonal_powproof · cited by 3
- Matrix.SpecialLinearGroup.diag_eq_diag2n_prodproof · cited by 1
- Matrix.diagonalAlgHomproof · cited by 1
- Matrix.diagonalInvertibleproof · cited by 1
- Matrix.diagonalRingHom_applystatement and proof · cited by 0
- Matrix.algebraMap_eq_diagonalRingHomstatement · cited by 0