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,(Initialized 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,(Initialized 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,(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 (((Macro i) ';' J),s)) . a by SCMFSA6A:def 6
.= (IExec (J,(IExec ((Macro i),s)))) . a by SCMFSA6C:1
.= (IExec (J,(Exec (i,(Initialized s))))) . a by SCMFSA6C:6 ; :: thesis: verum