theorem :: VFUNCT_1:38

for C being non empty set
for c being Element of C
for V being RealNormSpace
for f2 being PartFunc of C,V
for f1 being PartFunc of C,REAL st f1 is total & f2 is total holds
(f1 (#) f2) /. c = (f1 . c) * (f2 /. c)