theorem Th32: :: SCMFSA9A:32

for p being Instruction-Sequence of SCM+FSA
for s being State of SCM+FSA
for a being read-write Int-Location
for k being Nat
for I being really-closed MacroInstruction of SCM+FSA st ( I is_halting_on Initialized ((StepWhile>0 (a,I,p,s)) . k),p +* (while>0 (a,I)) or I is parahalting ) & ((StepWhile>0 (a,I,p,s)) . k) . a > 0 & ((StepWhile>0 (a,I,p,s)) . k) . (intloc 0) = 1 holds
DataPart ((StepWhile>0 (a,I,p,s)) . (k + 1)) = DataPart (IExec (I,(p +* (while>0 (a,I))),((StepWhile>0 (a,I,p,s)) . k)))