Theorems · Theorem · linear algebra
Matrix.circulant_mul_comm
∀ {α : Type u_1} {n : Type u_3} [inst : CommMagma α] [inst_1 : AddCommMonoid α] [inst_2 : Fintype n]
[inst_3 : AddCommGroup n] (v w : n → α),
Matrix.circulant v * Matrix.circulant w = Matrix.circulant w * Matrix.circulant vMultiplication of circulant matrices commutes when the elements do.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Circulant
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- mul_commproof · cited by 2,262
- Matrix.extproof · cited by 540
- Equiv.transproof · cited by 337
- add_sub_cancel_rightproof · cited by 187
- CommMagmastatement and proof · cited by 57
- Fintype.sum_equivproof · cited by 35
- Equiv.addRightproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.Fin.circulant_mul_commproof · cited by 0