theorem :: MATRIX17:16

for K being Field
for a, b being Element of K
for p, q being FinSequence of K st p is first-symmetry-of-circulant & q is first-symmetry-of-circulant & len p = len q holds
(a * (SCirc p)) + (b * (SCirc q)) = SCirc ((a * p) + (b * q))