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