consider w being State of SCM+FSA ;
set t = w +* ((intloc 0 ),(intloc 1) --> 7,3);
A19: InsCode (Divide a,b) =
5
by SCMFSA_2:46
.=
InsCode (Divide (intloc 0 ),(intloc 1))
by SCMFSA_2:46
;
A20:
intloc 0 <> IC SCM+FSA
by SCMFSA_2:81;
dom ((intloc 0 ),(intloc 1) --> 7,3) = {(intloc 0 ),(intloc 1)}
by FUNCT_4:65;
then A21:
( intloc 0 in dom ((intloc 0 ),(intloc 1) --> 7,3) & intloc 1 in dom ((intloc 0 ),(intloc 1) --> 7,3) )
by TARSKI:def 2;
then A22: (w +* ((intloc 0 ),(intloc 1) --> 7,3)) . (intloc 0 ) =
((intloc 0 ),(intloc 1) --> 7,3) . (intloc 0 )
by FUNCT_4:14
.=
7
by Lm7, FUNCT_4:66
;
A23: (w +* ((intloc 0 ),(intloc 1) --> 7,3)) . (intloc 1) =
((intloc 0 ),(intloc 1) --> 7,3) . (intloc 1)
by A21, FUNCT_4:14
.=
3
by FUNCT_4:66
;
A24:
7 = (2 * 3) + 1
;
(Exec (Divide (intloc 0 ),(intloc 1)),(w +* ((intloc 0 ),(intloc 1) --> 7,3))) . (intloc 0 ) =
7 div 3
by A22, A23, Lm7, SCMFSA_2:93
.=
2
by A24, NAT_D:def 1
;
hence
for b1 being InsType of SCM+FSA st b1 = InsCode (Divide a,b) holds
not b1 is jump-only
by A19, A20, A22, AMISTD_1:def 3; :: thesis: verum