theorem Th23: :: SCMPDS_7:25

for s being State of SCMPDS
for P being Instruction-Sequence of SCMPDS
for I being halt-free Program of
for J being Program of st I c= J & I is_closed_on s,P & I is_halting_on s,P holds
IC (Comput ((P +* J),(Initialize s),(LifeSpan ((P +* (stop I)),(Initialize s))))) = card I