let s be State of SCM+FSA ; for a being Int-Location
for I being InitHalting keepInt0_1 Program of SCM+FSA
for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let a be Int-Location ; for I being InitHalting keepInt0_1 Program of SCM+FSA
for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let I be InitHalting keepInt0_1 Program of SCM+FSA ; for J being InitHalting Program of SCM+FSA holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let J be InitHalting Program of SCM+FSA ; (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
( IExec (I ';' J),s = (IExec J,(IExec I,s)) +* (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) & not a in dom (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCM+FSA ) )
by Th29, SCMFSA6B:9;
hence
(IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
by FUNCT_4:12; verum