theorem Th22: :: SCMPDS_7:24

for s being State of SCMPDS
for P being Instruction-Sequence of SCMPDS
for I being 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,(Initialize s)),P & J is_halting_on IExec (I,P,(Initialize s)),P holds
( I ';' J is_closed_on s,P & I ';' J is_halting_on s,P )