let s be State of SCM+FSA; :: thesis: for aa being Int-Location
for I being Program of
for p being Instruction-Sequence of SCM+FSA st I is_closed_on Initialized s,p & I is_halting_on Initialized s,p & not I destroys aa holds
(IExec (I,p,s)) . aa = (Initialized s) . aa

let aa be Int-Location ; :: thesis: for I being Program of
for p being Instruction-Sequence of SCM+FSA st I is_closed_on Initialized s,p & I is_halting_on Initialized s,p & not I destroys aa holds
(IExec (I,p,s)) . aa = (Initialized s) . aa

let I be Program of ; :: thesis: for p being Instruction-Sequence of SCM+FSA st I is_closed_on Initialized s,p & I is_halting_on Initialized s,p & not I destroys aa holds
(IExec (I,p,s)) . aa = (Initialized s) . aa

let p be Instruction-Sequence of SCM+FSA; :: thesis: ( I is_closed_on Initialized s,p & I is_halting_on Initialized s,p & not I destroys aa implies (IExec (I,p,s)) . aa = (Initialized s) . aa )
set a = aa;
A1: DataPart (Initialized s) = DataPart (Initialize (Initialized s)) by MEMSTR_0:79;
assume ( I is_closed_on Initialized s,p & I is_halting_on Initialized s,p & not I destroys aa ) ; :: thesis: (IExec (I,p,s)) . aa = (Initialized s) . aa
hence (IExec (I,p,s)) . aa = (Comput ((p +* I),(Initialize (Initialized s)),0)) . aa by SCMFSA8C:60
.= (Initialize (Initialized s)) . aa by EXTPRO_1:2
.= (Initialized s) . aa by A1, SCMFSA6A:7 ;
:: thesis: verum