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
;
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; verum