theorem :: SCMFSA9A:23

for p being Instruction-Sequence of SCM+FSA
for s being State of SCM+FSA
for a being read-write Int-Location
for I being really-closed MacroInstruction of SCM+FSA st ( ProperBodyWhile=0 a,I, Initialized s,p or I is parahalting ) & WithVariantWhile=0 a,I, Initialized s,p holds
DataPart (IExec ((while=0 (a,I)),p,s)) = DataPart ((StepWhile=0 (a,I,p,(Initialized s))) . (ExitsAtWhile=0 (a,I,p,(Initialized s))))