theorem ThScFS1: :: ZMODLAT3:2

for L being Z_Lattice
for f being Function of L,INT.Ring
for F being FinSequence of L
for v, u being Vector of L
for i being Nat st i in dom F & u = F . i holds
(ScFS (v,f,F)) . i = <;v,((f . u) * u);>