let P be the Instructions of SCM+FSA -valued ManySortedSet of NAT ; :: 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: NPP (IExec ((Macro i),P,s)) = NPP (Exec (i,(Initialized s))) by SCMFSA6C:6;
thus (IExec ((i ';' J),P,s)) . a = (IExec (J,P,(IExec ((Macro i),P,s)))) . a by SCMFSA6C:1
.= (NPP (IExec (J,P,(IExec ((Macro i),P,s))))) . a by SCMFSA6C:13
.= (NPP (IExec (J,P,(Exec (i,(Initialized s)))))) . a by A, LmX
.= (IExec (J,P,(Exec (i,(Initialized s))))) . a by SCMFSA6C:13 ; :: thesis: verum