let a be Int-Location ; :: thesis: for s being State of SCM+FSA
for I being parahalting keeping_0 Program of SCM+FSA
for J being parahalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let s be State of SCM+FSA ; :: thesis: for I being parahalting keeping_0 Program of SCM+FSA
for J being parahalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let I be parahalting keeping_0 Program of SCM+FSA ; :: thesis: for J being parahalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let J be parahalting Program of SCM+FSA ; :: thesis: (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
A1: IExec (I ';' J),s = (IExec J,(IExec I,s)) +* (Start-At ((IC (IExec J,(IExec I,s))) + (card I))) by SCMFSA6B:44;
not a in dom (Start-At ((IC (IExec J,(IExec I,s))) + (card I))) by SCMFSA6B:9;
hence (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a by A1, FUNCT_4:12; :: thesis: verum