theorem Th5:
  for a being Element of SCM-Data-Loc
   holds pi(product(SCM-VAL*SCM-OK),a) = INT
proof
  let a be Element of SCM-Data-Loc;
  thus pi(product(SCM-VAL*SCM-OK),a) = (SCM-VAL*SCM-OK).a by Lm5,CARD_3:12
    .= INT by Th2;
end;
