let s be State of ; for i being parahalting keeping_0 Instruction of
for J being InitHalting Program of
for f being FinSeq-Location holds (IExec (i ';' J),s) . f = (IExec J,(Exec i,(Initialize s))) . f
let i be parahalting keeping_0 Instruction of ; for J being InitHalting Program of
for f being FinSeq-Location holds (IExec (i ';' J),s) . f = (IExec J,(Exec i,(Initialize s))) . f
let J be InitHalting Program of ; for f being FinSeq-Location holds (IExec (i ';' J),s) . f = (IExec J,(Exec i,(Initialize s))) . f
let f be FinSeq-Location ; (IExec (i ';' J),s) . f = (IExec J,(Exec i,(Initialize s))) . f
thus (IExec (i ';' J),s) . f =
(IExec J,(IExec (Macro i),s)) . f
by Th31
.=
(IExec J,(Exec i,(Initialize s))) . f
by SCMFSA6C:6
; verum