let P be Instruction-Sequence of SCM+FSA; for s being State of SCM+FSA
for i being keeping_0 sequential Instruction of SCM+FSA
for J being really-closed 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; for i being keeping_0 sequential Instruction of SCM+FSA
for J being really-closed 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 keeping_0 sequential Instruction of SCM+FSA; for J being really-closed 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 really-closed 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 a be Int-Location; (IExec ((i ";" J),P,s)) . a = (IExec (J,P,(Exec (i,(Initialized s))))) . a
A1:
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 A1
.=
(IExec (J,P,(Exec (i,(Initialized s))))) . a
; verum