consider w being State of SCM;
set t = w +* (((dl. 0),(dl. 1)) --> (1,0));
A14: InsCode (MultBy (a,b)) =
4
by RECDEF_2:def 1
.=
InsCode (MultBy ((dl. 0),(dl. 1)))
by RECDEF_2:def 1
;
A15:
dom (((dl. 0),(dl. 1)) --> (1,0)) = {(dl. 0),(dl. 1)}
by FUNCT_4:65;
then
dl. 0 in dom (((dl. 0),(dl. 1)) --> (1,0))
by TARSKI:def 2;
then A16: (w +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 0) =
(((dl. 0),(dl. 1)) --> (1,0)) . (dl. 0)
by FUNCT_4:14
.=
1
by AMI_3:52, FUNCT_4:66
;
XX:
dl. 0 in Data-Locations SCM
by AMI_3:73;
dl. 1 in dom (((dl. 0),(dl. 1)) --> (1,0))
by A15, TARSKI:def 2;
then A18: (w +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 1) =
(((dl. 0),(dl. 1)) --> (1,0)) . (dl. 1)
by FUNCT_4:14
.=
0
by FUNCT_4:66
;
(Exec ((MultBy ((dl. 0),(dl. 1))),(w +* (((dl. 0),(dl. 1)) --> (1,0))))) . (dl. 0) =
((w +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 0)) * ((w +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 1))
by AMI_3:11
.=
0
by A18
;
hence
for b1 being InsType of SCM st b1 = InsCode (MultBy (a,b)) holds
not b1 is jump-only
by A14, A16, AMISTD_1:def 3, XX; verum