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 a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a

let i be parahalting keeping_0 Instruction of SCM+FSA ; :: thesis: for J being InitHalting Program of SCM+FSA
for a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a

let J be InitHalting Program of SCM+FSA ; :: thesis: for a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
let a be Int-Location ; :: thesis: (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialized s))) . a
thus (IExec (i ';' J),s) . a = (IExec J,(IExec (Macro i),s)) . a by Th30
.= (IExec J,(Exec i,(Initialized s))) . a by SCMFSA6C:6 ; :: thesis: verum