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