let s be State of SCM+FSA; 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 ; 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 ; 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; ( 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 )
; (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
;
verum