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),s)) . f = (IExec (J,(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),s)) . f = (IExec (J,(Exec (i,(Initialized s))))) . f
let J be parahalting Program of SCM+FSA; :: thesis: for f being FinSeq-Location holds (IExec ((i ';' J),s)) . f = (IExec (J,(Exec (i,(Initialized s))))) . f
let f be FinSeq-Location ; :: thesis: (IExec ((i ';' J),s)) . f = (IExec (J,(Exec (i,(Initialized s))))) . f
thus (IExec ((i ';' J),s)) . f = (IExec (((Macro i) ';' J),s)) . f by SCMFSA6A:def 6
.= (IExec (J,(IExec ((Macro i),s)))) . f by SCMFSA6C:2
.= (IExec (J,(Exec (i,(Initialized s))))) . f by SCMFSA6C:6 ; :: thesis: verum