Mathlib Map

Theorems · Theorem · linear algebra

Matrix.circulant_single_one

∀ (α : Type u_5) (n : Type u_6) [inst : Zero α] [inst_1 : One α] [inst_2 : DecidableEq n] [inst_3 : AddGroup n],
  Matrix.circulant (Pi.single 0 1) = 1
Defined in
Mathlib.LinearAlgebra.Matrix.Circulant
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
ZeroOneDecidableEqAddGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.Fin.circulant_ite · cited by 0Fin.circulant_iteAddGroup · cited by 4410AddGroupMatrix · cited by 4303MatrixMatrix.ext · cited by 540Matrix.extPi.single · cited by 518Pi.singlePi.single_apply · cited by 78Pi.single_applyMatrix.circulant · cited by 27Matrix.circulantMatrix.circulant_single_oneCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.