theorem Th18: :: SCMFSA_9:45

for P being Instruction-Sequence of SCM+FSA
for I being MacroInstruction of SCM+FSA
for a being read-write Int-Location
for s being State of SCM+FSA
for k, n being Nat st IC ((StepWhile>0 (a,I,P,s)) . k) = 0 & (StepWhile>0 (a,I,P,s)) . k = Comput ((P +* (while>0 (a,I))),(Initialize s),n) holds
( (StepWhile>0 (a,I,P,s)) . k = Initialize ((StepWhile>0 (a,I,P,s)) . k) & (StepWhile>0 (a,I,P,s)) . (k + 1) = Comput ((P +* (while>0 (a,I))),(Initialize s),(n + ((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize ((StepWhile>0 (a,I,P,s)) . k)))) + 2))) )