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,())))) . 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,())))) . 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,())))) . 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,())))) . a
let a be Int-Location; :: thesis: (IExec ((i ";" J),p,s)) . a = (IExec (J,p,(Exec (i,())))) . a
thus (IExec ((i ";" J),p,s)) . a = (IExec (J,p,(IExec ((),p,s)))) . a by Th18
.= (IExec (J,p,(Exec (i,())))) . a by SCMFSA6C:5 ; :: thesis: verum