consider w being State of SCM;
set t = w +* (((dl. 0),(dl. 1)) --> (0,1));
A6: InsCode (AddTo (a,b)) =
2
by RECDEF_2:def 1
.=
InsCode (AddTo ((dl. 0),(dl. 1)))
by RECDEF_2:def 1
;
A7:
dom (((dl. 0),(dl. 1)) --> (0,1)) = {(dl. 0),(dl. 1)}
by FUNCT_4:65;
then
dl. 0 in dom (((dl. 0),(dl. 1)) --> (0,1))
by TARSKI:def 2;
then A8: (w +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 0) =
(((dl. 0),(dl. 1)) --> (0,1)) . (dl. 0)
by FUNCT_4:14
.=
0
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)) --> (0,1))
by A7, TARSKI:def 2;
then (w +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 1) =
(((dl. 0),(dl. 1)) --> (0,1)) . (dl. 1)
by FUNCT_4:14
.=
1
by FUNCT_4:66
;
then
( dl. 0 <> IC SCM & (Exec ((AddTo ((dl. 0),(dl. 1))),(w +* (((dl. 0),(dl. 1)) --> (0,1))))) . (dl. 0) = 0 + 1 )
by A8, AMI_3:9, AMI_3:57;
hence
for b1 being InsType of SCM st b1 = InsCode (AddTo (a,b)) holds
not b1 is jump-only
by A6, A8, AMISTD_1:def 3, XX; verum