let P be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
for i being parahalting keeping_0 Instruction of SCM+FSA
for J being 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; :: thesis: for i being parahalting keeping_0 Instruction of SCM+FSA
for J being 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 parahalting keeping_0 Instruction of SCM+FSA; :: thesis: for J being 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 parahalting Program of SCM+FSA; :: thesis: 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 ; :: thesis: (IExec ((i ';' J),P,s)) . f = (IExec (J,P,(Exec (i,(Initialized s))))) . f
A: 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 A
.= (IExec (J,P,(Exec (i,(Initialized s))))) . f ; :: thesis: verum