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 a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialize s))) . a
let i be parahalting keeping_0 Instruction of SCM+FSA ; :: thesis: for J being parahalting Program of SCM+FSA
for a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialize s))) . a
let J be parahalting Program of SCM+FSA ; :: thesis: for a being Int-Location holds (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialize s))) . a
let a be Int-Location ; :: thesis: (IExec (i ';' J),s) . a = (IExec J,(Exec i,(Initialize s))) . a
thus (IExec (i ';' J),s) . a = (IExec ((Macro i) ';' J),s) . a by SCMFSA6A:def 6
.= (IExec J,(IExec (Macro i),s)) . a by SCMFSA6C:1
.= (IExec J,(Exec i,(Initialize s))) . a by SCMFSA6C:6 ; :: thesis: verum