let p be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA

for i being keeping_0 sequential Instruction of SCM+FSA

for J being really-closed InitHalting 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 keeping_0 sequential Instruction of SCM+FSA

for J being really-closed InitHalting 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; :: thesis: for J being really-closed InitHalting 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 InitHalting 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

thus (IExec ((i ";" J),p,s)) . a = (IExec (J,p,(IExec ((Macro i),p,s)))) . a by Th18

.= (IExec (J,p,(Exec (i,(Initialized s))))) . a by SCMFSA6C:5 ; :: thesis: verum

for i being keeping_0 sequential Instruction of SCM+FSA

for J being really-closed InitHalting 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 keeping_0 sequential Instruction of SCM+FSA

for J being really-closed InitHalting 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; :: thesis: for J being really-closed InitHalting 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 InitHalting 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

thus (IExec ((i ";" J),p,s)) . a = (IExec (J,p,(IExec ((Macro i),p,s)))) . a by Th18

.= (IExec (J,p,(Exec (i,(Initialized s))))) . a by SCMFSA6C:5 ; :: thesis: verum