consider w being State of SCM+FSA ;
set t = w +* ((intloc 0 ),(intloc 1) --> 0 ,1);
A9: InsCode (SubFrom a,b) =
3
by SCMFSA_2:44
.=
InsCode (SubFrom (intloc 0 ),(intloc 1))
by SCMFSA_2:44
;
A10:
intloc 0 <> IC SCM+FSA
by SCMFSA_2:81;
dom ((intloc 0 ),(intloc 1) --> 0 ,1) = {(intloc 0 ),(intloc 1)}
by FUNCT_4:65;
then A11:
( intloc 0 in dom ((intloc 0 ),(intloc 1) --> 0 ,1) & intloc 1 in dom ((intloc 0 ),(intloc 1) --> 0 ,1) )
by TARSKI:def 2;
then A12: (w +* ((intloc 0 ),(intloc 1) --> 0 ,1)) . (intloc 0 ) =
((intloc 0 ),(intloc 1) --> 0 ,1) . (intloc 0 )
by FUNCT_4:14
.=
0
by Lm7, FUNCT_4:66
;
A13: (w +* ((intloc 0 ),(intloc 1) --> 0 ,1)) . (intloc 1) =
((intloc 0 ),(intloc 1) --> 0 ,1) . (intloc 1)
by A11, FUNCT_4:14
.=
1
by FUNCT_4:66
;
(Exec (SubFrom (intloc 0 ),(intloc 1)),(w +* ((intloc 0 ),(intloc 1) --> 0 ,1))) . (intloc 0 ) =
((w +* ((intloc 0 ),(intloc 1) --> 0 ,1)) . (intloc 0 )) - ((w +* ((intloc 0 ),(intloc 1) --> 0 ,1)) . (intloc 1))
by SCMFSA_2:91
.=
- 1
by A12, A13
;
hence
for b1 being InsType of SCM+FSA st b1 = InsCode (SubFrom a,b) holds
not b1 is jump-only
by A9, A10, A12, AMISTD_1:def 3; :: thesis: verum