theorem :: SCMPDS_5:35

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 parahalting Program of
for J being parahalting shiftable Program of holds (IExec ((I ';' J),P,s)) . a = (IExec (J,P,(Initialize (IExec (I,P,s))))) . a