theorem Th20: :: SCMPDS_7:22

for s being State of SCMPDS
for P being Instruction-Sequence of SCMPDS
for I, J being Program of st I c= J & I is_closed_on s,P & I is_halting_on s,P & not CurInstr ((P +* J),(Comput ((P +* J),(Initialize s),(LifeSpan ((P +* (stop I)),(Initialize s)))))) = halt SCMPDS holds
IC (Comput ((P +* J),(Initialize s),(LifeSpan ((P +* (stop I)),(Initialize s))))) = card I