Theorems · Theorem · linear algebra
Matrix.diagonal_map
∀ {n : Type u_3} {α : Type v} {β : Type w} [inst : DecidableEq n] [inst_1 : Zero α] [inst_2 : Zero β] {f : α → β},
f 0 = 0 → ∀ {d : n → α}, (Matrix.diagonal d).map f = Matrix.diagonal fun m => f (d m)- Defined in
- Mathlib.Data.Matrix.Diagonal
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqZeroZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- Matrix.extproof · cited by 540
- Matrix.diagonalstatement · cited by 314
- Matrix.mapstatement · cited by 247
Cited by15
Results whose statement or proof uses this declaration.
- Matrix.reverse_charpolyproof · cited by 3
- Matrix.charmatrix_diagonalproof · cited by 3
- Matrix.map_intCastproof · cited by 2
- Matrix.map_natCastproof · cited by 2
- Matrix.den_natCastproof · cited by 2
- Matrix.diagonal_conjTransposeproof · cited by 2
- Matrix.map_diagonal_starproof · cited by 2
- Matrix.num_natCastproof · cited by 2
- Algebra.Norm.Transitivity.comp_det_mul_powproof · cited by 1
- Matrix.isHermitian_diagonal_iffproof · cited by 1
- matPolyEquiv_symm_map_evalproof · cited by 1
- Matrix.map_algebraMapproof · cited by 0