theorem Th48: :: SCMFSA9A:48

for s being State of SCM+FSA
for p being Instruction-Sequence of SCM+FSA
for k being Nat
for a being read-write Int-Location
for J being good really-closed MacroInstruction of SCM+FSA st not J destroys a & ((StepTimes (a,J,p,s)) . k) . (intloc 0) = 1 & J is_halting_on (StepTimes (a,J,p,s)) . k,p +* (Times (a,J)) holds
( ((StepTimes (a,J,p,s)) . (k + 1)) . (intloc 0) = 1 & ( ((StepTimes (a,J,p,s)) . k) . a > 0 implies ((StepTimes (a,J,p,s)) . (k + 1)) . a = (((StepTimes (a,J,p,s)) . k) . a) - 1 ) )