let P be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
for I being really-closed parahalting Program of SCM+FSA
for a being Int-Location
for k being Element of NAT st not I destroys a holds
(IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a
let s be State of SCM+FSA; :: thesis: for I being really-closed parahalting Program of SCM+FSA
for a being Int-Location
for k being Element of NAT st not I destroys a holds
(IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a
let I be really-closed parahalting Program of SCM+FSA; :: thesis: for a being Int-Location
for k being Element of NAT st not I destroys a holds
(IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a
let a be Int-Location; :: thesis: for k being Element of NAT st not I destroys a holds
(IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a
let k be Element of NAT ; :: thesis: ( not I destroys a implies (IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a )
set s0 = Initialized s;
set s1 = Initialize (Initialized s);
set P1 = P +* I;
A1: I c= P +* I by FUNCT_4:25;
P +* I halts_on Initialize (Initialized s) by A1, SCMFSA6B:1;
then I is_halting_on Initialized s,P ;
hence ( not I destroys a implies (IExec (I,P,s)) . a = (Comput ((P +* I),(Initialize (Initialized s)),k)) . a ) by Th51; :: thesis: verum