theorem Th23: :: CC0SP1:23

for X being non empty set
for a being Complex
for f, g being Function of X,COMPLEX
for F, G being Point of (C_Normed_Algebra_of_BoundedFunctions X) st f = F & g = G holds
( G = a * F iff for x being Element of X holds g . x = a * (f . x) )