theorem :: SCMPDS_7:28

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
LifeSpan ((P +* (stop (I ';' J))),s) = (LifeSpan ((P +* (stop I)),s)) + (LifeSpan (((P +* (stop I)) +* (stop J)),(Initialize (Result ((P +* (stop I)),s))))) by Lm1;