theorem Th101:
for
P being
Instruction-Sequence of
SCMPDS for
s being
State of
SCMPDS for
I being
halt-free shiftable Program of
for
a being
Int_position for
k1 being
Integer st
s . (DataLoc ((s . a),k1)) < 0 &
I is_closed_on s,
P &
I is_halting_on s,
P holds
IExec (
(if<0 (a,k1,I)),
P,
(Initialize s))
= (IExec (I,P,(Initialize s))) +* (Start-At (((card I) + 1),SCMPDS))