let P be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
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),P,s)) . a = (IExec (J,P,(Exec (i,(Initialized s))))) . a
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),P,s)) . a = (IExec (J,P,(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),P,s)) . a = (IExec (J,P,(Exec (i,(Initialized s))))) . a
let J be parahalting Program of SCM+FSA; :: thesis: for a being Int-Location holds (IExec ((i ';' J),P,s)) . a = (IExec (J,P,(Exec (i,(Initialized s))))) . a
let a be Int-Location ; :: thesis: (IExec ((i ';' J),P,s)) . a = (IExec (J,P,(Exec (i,(Initialized s))))) . a
A: IExec ((Macro i),P,s) = Exec (i,(Initialized s)) by SCMFSA6C:5;
thus (IExec ((i ';' J),P,s)) . a = (IExec (J,P,(IExec ((Macro i),P,s)))) . a by SCMFSA6C:1
.= (IExec (J,P,(IExec ((Macro i),P,s)))) . a
.= (IExec (J,P,(Exec (i,(Initialized s))))) . a by A
.= (IExec (J,P,(Exec (i,(Initialized s))))) . a ; :: thesis: verum