theorem Th19: :: SCMPDS_7:21

for s being State of SCMPDS
for P being Instruction-Sequence of SCMPDS
for I, J being Program of
for k being Nat st k <= LifeSpan ((P +* (stop I)),(Initialize s)) & I c= J & I is_closed_on s,P & I is_halting_on s,P holds
IC (Comput ((P +* J),(Initialize s),k)) in dom (stop I)