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 f being FinSeq-Location holds (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(Exec (i,())))) . f

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 f being FinSeq-Location holds (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(Exec (i,())))) . f

let i be keeping_0 sequential Instruction of SCM+FSA; :: thesis: for J being really-closed InitHalting Program of SCM+FSA
for f being FinSeq-Location holds (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(Exec (i,())))) . f

let J be really-closed InitHalting Program of SCM+FSA; :: thesis: for f being FinSeq-Location holds (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(Exec (i,())))) . f
let f be FinSeq-Location ; :: thesis: (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(Exec (i,())))) . f
thus (IExec ((i ";" J),p,s)) . f = (IExec (J,p,(IExec ((),p,s)))) . f by Th19
.= (IExec (J,p,(Exec (i,())))) . f by SCMFSA6C:5 ; :: thesis: verum