let P be Instruction-Sequence of SCM+FSA; for s being State of SCM+FSA
for i being keeping_0 sequential Instruction of SCM+FSA
for J being really-closed parahalting Program of SCM+FSA
for f being FinSeq-Location holds (IExec ((i ";" J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
let s be State of SCM+FSA; for i being keeping_0 sequential Instruction of SCM+FSA
for J being really-closed parahalting Program of SCM+FSA
for f being FinSeq-Location holds (IExec ((i ";" J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
let i be keeping_0 sequential Instruction of SCM+FSA; for J being really-closed parahalting Program of SCM+FSA
for f being FinSeq-Location holds (IExec ((i ";" J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
let J be really-closed parahalting Program of SCM+FSA; for f being FinSeq-Location holds (IExec ((i ";" J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
let f be FinSeq-Location ; (IExec ((i ";" J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
A1:
IExec ((Macro i),P,s) = Exec (i,(Initialized s))
by SCMFSA6C:5;
thus (IExec ((i ";" J),P,s)) . f =
(IExec (J,P,(IExec ((Macro i),P,s)))) . f
by SCMFSA6C:2
.=
(IExec (J,P,(IExec ((Macro i),P,s)))) . f
.=
(IExec (J,P,(Exec (i,(Initialized s))))) . f
by A1
.=
(IExec (J,P,(Exec (i,(Initialized s))))) . f
; verum