theorem Th40: :: SCMFSA9A:40

for p being Instruction-Sequence of SCM+FSA
for s being State of SCM+FSA
for a being read-write Int-Location
for Ig being good really-closed MacroInstruction of SCM+FSA st s . (intloc 0) = 1 & ProperBodyWhile>0 a,Ig,s,p & WithVariantWhile>0 a,Ig,s,p holds
ex f being Function of (product (the_Values_of SCM+FSA)),NAT st
( f is on_data_only & ( for k being Nat holds
( f . ((StepWhile>0 (a,Ig,p,s)) . (k + 1)) < f . ((StepWhile>0 (a,Ig,p,s)) . k) or ((StepWhile>0 (a,Ig,p,s)) . k) . a <= 0 ) ) )