let s be State of SCM+FSA ; :: thesis: for aa being Int-Location
for I being Program of SCM+FSA st I is_closed_on Initialized s & I is_halting_on Initialized s & not I destroysdestroy aa holds
(IExec I,s) . aa = (Initialized s) . aa
let aa be Int-Location ; :: thesis: for I being Program of SCM+FSA st I is_closed_on Initialized s & I is_halting_on Initialized s & not I destroysdestroy aa holds
(IExec I,s) . aa = (Initialized s) . aa
let I be Program of SCM+FSA ; :: thesis: ( I is_closed_on Initialized s & I is_halting_on Initialized s & not I destroysdestroy aa implies (IExec I,s) . aa = (Initialized s) . aa )
set D = Int-Locations \/ FinSeq-Locations ;
set a = aa;
A1: DataPart (Initialized s) = DataPart ((Initialized s) +* (I +* (Start-At 0 ,SCM+FSA ))) by SCMFSA8A:11;
assume ( I is_closed_on Initialized s & I is_halting_on Initialized s & not I destroysdestroy aa ) ; :: thesis: (IExec I,s) . aa = (Initialized s) . aa
hence (IExec I,s) . aa = (Comput (ProgramPart ((Initialized s) +* (I +* (Start-At 0 ,SCM+FSA )))),((Initialized s) +* (I +* (Start-At 0 ,SCM+FSA ))),0 ) . aa by SCMFSA8C:89
.= ((Initialized s) +* (I +* (Start-At 0 ,SCM+FSA ))) . aa by AMI_1:13
.= (Initialized s) . aa by A1, SCMFSA6A:38 ;
:: thesis: verum