theorem :: VFUNCT_1:15

for C being non empty set
for r being Real
for V being non empty right_complementable Abelian add-associative right_zeroed vector-distributive scalar-distributive scalar-associative scalar-unital RLSStruct
for f1, f2 being PartFunc of C,V holds r (#) (f1 - f2) = (r (#) f1) - (r (#) f2)