theorem Th45:
for
s being
State of
SCMPDS for
k1,
k2 being
Integer for
a being
Int_position holds
(
(Exec ((AddTo (a,k1,k2)),s)) . (IC ) = (IC s) + 1 &
(Exec ((AddTo (a,k1,k2)),s)) . (DataLoc ((s . a),k1)) = (s . (DataLoc ((s . a),k1))) + k2 & ( for
b being
Int_position st
b <> DataLoc (
(s . a),
k1) holds
(Exec ((AddTo (a,k1,k2)),s)) . b = s . b ) )