let s be State of SCM+FSA; :: thesis: for I being parahalting Program of SCM+FSA
for a being Int-Location st not I destroys a holds
(IExec (I,s)) . a = (Initialized s) . a
set D = Int-Locations \/ FinSeq-Locations;
let I be parahalting Program of SCM+FSA; :: thesis: for a being Int-Location st not I destroys a holds
(IExec (I,s)) . a = (Initialized s) . a
let a be Int-Location ; :: thesis: ( not I destroys a implies (IExec (I,s)) . a = (Initialized s) . a )
A1: DataPart (Initialized s) = DataPart ((Initialized s) +* (I +* (Start-At (0,SCM+FSA)))) by SCMFSA8A:11;
assume not I destroys a ; :: thesis: (IExec (I,s)) . a = (Initialized s) . a
hence (IExec (I,s)) . a = (Comput ((ProgramPart ((Initialized s) +* (I +* (Start-At (0,SCM+FSA))))),((Initialized s) +* (I +* (Start-At (0,SCM+FSA)))),0)) . a by Th90
.= ((Initialized s) +* (I +* (Start-At (0,SCM+FSA)))) . a by EXTPRO_1:3
.= (Initialized s) . a by A1, SCMFSA6A:38 ;
:: thesis: verum