Theorems · Definition · linear algebra

Matrix.diagonalAlgHom

{n : Type u_3} →
  (R : Type u_7) →
    {α : Type u_11} →
      [inst : Fintype n] →
        [inst_1 : DecidableEq n] →
          [inst_2 : CommSemiring R] → [inst_3 : Semiring α] → [inst_4 : Algebra R α] → (n → α) →ₐ[R] Matrix n n α

Matrix.diagonal as an AlgHom.

Defined in: Mathlib.Data.Matrix.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype DecidableEq CommSemiring Semiring Algebra

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Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Semiringstatement and proof · cited by 13,802
Algebrastatement and proof · cited by 11,388
CommSemiringstatement and proof · cited by 10,911
RingHomproof · cited by 10,189
Fintypestatement and proof · cited by 7,736
Matrixstatement and proof · cited by 4,303
AlgHomstatement · cited by 3,236
Matrix.diagonalproof · cited by 314
Matrix.diagonalRingHomproof · cited by 4

Cited by1

Results whose statement or proof uses this declaration.

Matrix.diagonalAlgHom_applystatement and proof · cited by 0