Theorems · Theorem · linear algebra
Matrix.diagonal_conjTranspose
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : AddMonoid α] [inst_2 : StarAddMonoid α] (v : n → α),
(Matrix.diagonal v).conjTranspose = Matrix.diagonal (star v)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 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.
- Matrixstatement and proof · cited by 4,303
- AddMonoidstatement and proof · cited by 2,864
- Star.starstatement and proof · cited by 1,082
- Matrix.diagonalstatement and proof · cited by 314
- StarAddMonoidstatement and proof · cited by 296
- Matrix.mapproof · cited by 247
- Matrix.conjTransposestatement · cited by 202
- star_zeroproof · cited by 58
- Matrix.diagonal_transposeproof · cited by 17
- Matrix.diagonal_mapproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.isHermitian_diagonal_of_self_adjointproof · cited by 3
- Matrix.conjTranspose_eq_diagonalproof · cited by 0