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