theorem Th48: :: SCMPDS_2:51

for s being State of SCMPDS
for k1, k2 being Integer
for a, b being Int_position holds
( (Exec ((MultBy (a,k1,b,k2)),s)) . (IC ) = (IC s) + 1 & (Exec ((MultBy (a,k1,b,k2)),s)) . (DataLoc ((s . a),k1)) = (s . (DataLoc ((s . a),k1))) * (s . (DataLoc ((s . b),k2))) & ( for c being Int_position st c <> DataLoc ((s . a),k1) holds
(Exec ((MultBy (a,k1,b,k2)),s)) . c = s . c ) )