let a be Int-Location; :: thesis: for s being State of SCM+FSA
for P being Instruction-Sequence of SCM+FSA
for i being sequential keeping_0 Instruction of SCM+FSA
for j being sequential Instruction of SCM+FSA holds (IExec ((i ";" j),P,s)) . a = (Exec (j,(Exec (i,(Initialized s))))) . a

let s be State of SCM+FSA; :: thesis: for P being Instruction-Sequence of SCM+FSA
for i being sequential keeping_0 Instruction of SCM+FSA
for j being sequential Instruction of SCM+FSA holds (IExec ((i ";" j),P,s)) . a = (Exec (j,(Exec (i,(Initialized s))))) . a

let P be Instruction-Sequence of SCM+FSA; :: thesis: for i being sequential keeping_0 Instruction of SCM+FSA
for j being sequential Instruction of SCM+FSA holds (IExec ((i ";" j),P,s)) . a = (Exec (j,(Exec (i,(Initialized s))))) . a

let i be sequential keeping_0 Instruction of SCM+FSA; :: thesis: for j being sequential Instruction of SCM+FSA holds (IExec ((i ";" j),P,s)) . a = (Exec (j,(Exec (i,(Initialized s))))) . a
let j be sequential Instruction of SCM+FSA; :: thesis: (IExec ((i ";" j),P,s)) . a = (Exec (j,(Exec (i,(Initialized s))))) . a
set Mi = Macro i;
thus (IExec ((i ";" j),P,s)) . a = (IExec (((Macro i) ";" j),P,s)) . a
.= (Exec (j,(IExec ((Macro i),P,s)))) . a by Th5
.= (Exec (j,(Exec (i,(Initialized s))))) . a by Th4 ; :: thesis: verum