theorem Th40: :: SCMPDS_6:49

for P being Instruction-Sequence of SCMPDS
for s being State of SCMPDS
for I being Program of
for a being Int_position
for k1 being Integer st s . (DataLoc ((s . a),k1)) <> 0 holds
( if=0 (a,k1,I) is_closed_on s,P & if=0 (a,k1,I) is_halting_on s,P )