let p be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
for f being FinSeq-Location
for a being read-write Int-Location holds
( (IExec ((Stop SCM+FSA),p,s)) . a = s . a & (IExec ((Stop SCM+FSA),p,s)) . f = s . f )
let s be State of SCM+FSA; :: thesis: for f being FinSeq-Location
for a being read-write Int-Location holds
( (IExec ((Stop SCM+FSA),p,s)) . a = s . a & (IExec ((Stop SCM+FSA),p,s)) . f = s . f )
let f be FinSeq-Location ; :: thesis: for a being read-write Int-Location holds
( (IExec ((Stop SCM+FSA),p,s)) . a = s . a & (IExec ((Stop SCM+FSA),p,s)) . f = s . f )
let a be read-write Int-Location ; :: thesis: ( (IExec ((Stop SCM+FSA),p,s)) . a = s . a & (IExec ((Stop SCM+FSA),p,s)) . f = s . f )
A1: Initialized s = s +* (((intloc 0) .--> 1) +* (Start-At (0,SCM+FSA))) by SCMFSA6A:def 3
.= Initialize (s +* ((intloc 0) .--> 1)) by FUNCT_4:14 ;
A2: IExec ((Stop SCM+FSA),p,s) = Initialize (s +* ((intloc 0) .--> 1)) by A1, SCMFSA8C:14
.= Initialized s by A1 ;
hence (IExec ((Stop SCM+FSA),p,s)) . a = s . a by SCMFSA6C:3; :: thesis: (IExec ((Stop SCM+FSA),p,s)) . f = s . f
thus (IExec ((Stop SCM+FSA),p,s)) . f = s . f by A2, SCMFSA6C:3; :: thesis: verum