let s be State of ; for i being No-StopCode parahalting Instruction of
for J being parahalting shiftable Program of
for a being Int_position holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
let i be No-StopCode parahalting Instruction of ; for J being parahalting shiftable Program of
for a being Int_position holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
let J be parahalting shiftable Program of ; for a being Int_position holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
let a be Int_position ; (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
thus (IExec (i ';' J),s) . a =
(IExec ((Load i) ';' J),s) . a
by SCMPDS_4:def 4
.=
(IExec J,(IExec (Load i),s)) . a
by SCMPDS_5:39
.=
(IExec J,(Exec i,(Initialized s))) . a
by SCMPDS_5:45
; verum