Theorems · Theorem · linear algebra
Matrix.conjTranspose_circulant
∀ {α : Type u_1} {n : Type u_3} [inst : Star α] [inst_1 : SubtractionMonoid n] (v : n → α),
(Matrix.circulant v).conjTranspose = Matrix.circulant (star fun i => v (-i))- Defined in
- Mathlib.LinearAlgebra.Matrix.Circulant
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- StarSubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- Star.starstatement and proof · cited by 1,082
- Matrix.extproof · cited by 540
- Starstatement and proof · cited by 496
- neg_subproof · cited by 272
- SubtractionMonoidstatement and proof · cited by 208
- Matrix.conjTransposestatement · cited by 202
- Matrix.circulantstatement · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.Fin.conjTranspose_circulantproof · cited by 0