let f be FinSeq-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) . f = (IExec J,(IExec I,s)) . f
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) . f = (IExec J,(IExec I,s)) . f
let I be parahalting keeping_0 Program of SCM+FSA ; :: thesis: for J being parahalting Program of SCM+FSA holds (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
let J be parahalting Program of SCM+FSA ; :: thesis: (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
A1: not f in dom (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) by SCMFSA6B:10;
IExec (I ';' J),s = (IExec J,(IExec I,s)) +* (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) by SCMFSA6B:44;
hence (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f by A1, FUNCT_4:12; :: thesis: verum