for K being Field
for V being non trivial VectSp of K
for w being Vector of V
for a being Element of K st a <> 0. K holds
for f being with_eigenvalues Function of V,V
for L being eigenvalue of f holds
( a * f is with_eigenvalues & a * L is eigenvalue of a * f & ( w is eigenvector of f,L implies w is eigenvector of a * f,a * L ) & ( w is eigenvector of a * f,a * L implies w is eigenvector of f,L ) )