let a be Int_position ; :: thesis: for s being State of SCMPDS
for I being parahalting No-StopCode Program of SCMPDS
for J being parahalting shiftable Program of SCMPDS holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let s be State of SCMPDS ; :: thesis: for I being parahalting No-StopCode Program of SCMPDS
for J being parahalting shiftable Program of SCMPDS holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let I be parahalting No-StopCode Program of SCMPDS ; :: thesis: for J being parahalting shiftable Program of SCMPDS holds (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
let J be parahalting shiftable Program of SCMPDS ; :: thesis: (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a
A1: not a in dom (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCMPDS ) by SCMPDS_4:59;
IExec (I ';' J),s = (IExec J,(IExec I,s)) +* (Start-At ((IC (IExec J,(IExec I,s))) + (card I)),SCMPDS ) by Th38;
hence (IExec (I ';' J),s) . a = (IExec J,(IExec I,s)) . a by A1, FUNCT_4:12; :: thesis: verum