theorem Th7: :: EXTPRO_1:7

for N being non empty with_zero set
for S being non empty with_non-empty_values IC-Ins-separated halting AMI-Struct over N
for P being Instruction-Sequence of S
for s being State of S
for k being Nat st P . (IC (Comput (P,s,k))) = halt S holds
Result (P,s) = Comput (P,s,k)