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