theorem Th28:
for
a being
Int_position for
P being
Instruction-Sequence of
SCMPDS for
s being
0 -started State of
SCMPDS for
I being
halt-free Program of
for
J being
shiftable Program of st
I is_closed_on s,
P &
I is_halting_on s,
P &
J is_closed_on IExec (
I,
P,
s),
P &
J is_halting_on IExec (
I,
P,
s),
P holds
(IExec ((I ';' J),P,s)) . a = (IExec (J,P,(Initialize (IExec (I,P,s))))) . a