theorem Th60:
for
P being
Instruction-Sequence of
SCMPDS for
s being
State of
SCMPDS for
I being
Program of
for
J being
shiftable Program of
for
a being
Int_position for
k1 being
Integer st
s . (DataLoc ((s . a),k1)) <= 0 &
J is_closed_on s,
P &
J is_halting_on s,
P holds
(
if>0 (
a,
k1,
I,
J)
is_closed_on s,
P &
if>0 (
a,
k1,
I,
J)
is_halting_on s,
P )