let s be State of SCM+FSA ; :: thesis: for i being parahalting keeping_0 Instruction of SCM+FSA
for J being InitHalting 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 InitHalting 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 InitHalting 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 J,(IExec (Macro i),s)) . f by Th31
.= (IExec J,(Exec i,(Initialized s))) . f by SCMFSA6C:6 ; :: thesis: verum