let s be State of SCM+FSA ; :: thesis: for f being FinSeq-Location
for I being InitHalting keepInt0_1 Program of SCM+FSA
for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
let f be FinSeq-Location ; :: thesis: for I being InitHalting keepInt0_1 Program of SCM+FSA
for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
let I be InitHalting keepInt0_1 Program of SCM+FSA ; :: thesis: for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
let J be InitHalting Program of SCM+FSA ; :: thesis: (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f
( IExec (I ';' J),s = (IExec J,(IExec I,s)) +* (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) & not f in dom (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) ) by Th29, SCMFSA6B:10;
hence (IExec (I ';' J),s) . f = (IExec J,(IExec I,s)) . f by FUNCT_4:12; :: thesis: verum