theorem Th7:
for
p being
Instruction-Sequence of
SCM+FSA for
s being
State of
SCM+FSA for
f being
FinSeq-Location for
Ig being
good really-closed Program of
SCM+FSA for
J being
really-closed Program of
SCM+FSA st (
Ig is
parahalting or
Ig is_halting_on Initialized s,
p ) & (
J is
parahalting or
J is_halting_on IExec (
Ig,
p,
s),
p ) holds
(IExec ((Ig ";" J),p,s)) . f = (IExec (J,p,(IExec (Ig,p,s)))) . f