theorem Th11: :: SCMPDS_7:13

for P being Instruction-Sequence of SCMPDS
for s being State of SCMPDS
for I being Program of
for a being Int_position st I is_halting_on s,P holds
(IExec (I,P,(Initialize s))) . a = (Comput ((P +* (stop I)),(Initialize s),(LifeSpan ((P +* (stop I)),(Initialize s))))) . a by SCMPDS_6:def 3, EXTPRO_1:23;