theorem Th17: :: SFMASTR3:19

for s being State of SCM+FSA
for a being read-write Int-Location
for bb, cc being Int-Location
for p being Instruction-Sequence of SCM+FSA
for Ig being really-closed good MacroInstruction of SCM+FSA st s . (intloc 0) = 1 & ProperForUpBody a,bb,cc,Ig,s,p holds
for k being Nat st k <= ((s . cc) - (s . bb)) + 1 holds
( ((StepForUp (a,bb,cc,Ig,p,s)) . k) . (intloc 0) = 1 & ( not Ig destroys a implies ( ((StepForUp (a,bb,cc,Ig,p,s)) . k) . a = k + (s . bb) & ((StepForUp (a,bb,cc,Ig,p,s)) . k) . a <= (s . cc) + 1 ) ) & (((StepForUp (a,bb,cc,Ig,p,s)) . k) . (1 -stRWNotIn ({a,bb,cc} \/ (UsedILoc Ig)))) + k = ((s . cc) - (s . bb)) + 1 )