consider w being State of SCM+FSA ;
set t = w +* ((intloc 0 ),(intloc 1) --> 1,0 );
A14: InsCode (MultBy a,b) =
4
by SCMFSA_2:45
.=
InsCode (MultBy (intloc 0 ),(intloc 1))
by SCMFSA_2:45
;
A15:
intloc 0 <> IC SCM+FSA
by SCMFSA_2:81;
dom ((intloc 0 ),(intloc 1) --> 1,0 ) = {(intloc 0 ),(intloc 1)}
by FUNCT_4:65;
then A16:
( intloc 0 in dom ((intloc 0 ),(intloc 1) --> 1,0 ) & intloc 1 in dom ((intloc 0 ),(intloc 1) --> 1,0 ) )
by TARSKI:def 2;
then A17: (w +* ((intloc 0 ),(intloc 1) --> 1,0 )) . (intloc 0 ) =
((intloc 0 ),(intloc 1) --> 1,0 ) . (intloc 0 )
by FUNCT_4:14
.=
1
by Lm7, FUNCT_4:66
;
A18: (w +* ((intloc 0 ),(intloc 1) --> 1,0 )) . (intloc 1) =
((intloc 0 ),(intloc 1) --> 1,0 ) . (intloc 1)
by A16, FUNCT_4:14
.=
0
by FUNCT_4:66
;
(Exec (MultBy (intloc 0 ),(intloc 1)),(w +* ((intloc 0 ),(intloc 1) --> 1,0 ))) . (intloc 0 ) =
((w +* ((intloc 0 ),(intloc 1) --> 1,0 )) . (intloc 0 )) * ((w +* ((intloc 0 ),(intloc 1) --> 1,0 )) . (intloc 1))
by SCMFSA_2:92
.=
0
by A18
;
hence
for b1 being InsType of SCM+FSA st b1 = InsCode (MultBy a,b) holds
not b1 is jump-only
by A14, A15, A17, AMISTD_1:def 3; :: thesis: verum