theorem :: SCMFSA_9:48

for I being really-closed parahalting MacroInstruction of SCM+FSA
for a being read-write Int-Location st ex f being Function of (product (the_Values_of SCM+FSA)),NAT st
for s being State of SCM+FSA
for P being Instruction-Sequence of SCM+FSA holds
( ( f . ((StepWhile>0 (a,I,P,s)) . 1) < f . s or f . s = 0 ) & ( f . s = 0 implies s . a <= 0 ) & ( s . a <= 0 implies f . s = 0 ) ) holds
while>0 (a,I) is parahalting