consider w being State of SCM ;
set t = w +* ((dl. 0 ),(dl. 1) --> 0 ,1);
A9: InsCode (SubFrom a,b) =
3
by RECDEF_2:def 1
.=
InsCode (SubFrom (dl. 0 ),(dl. 1))
by RECDEF_2:def 1
;
A10:
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 A11: (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
;
A12:
dl. 0 <> IC SCM
by AMI_3:57;
dl. 1 in dom ((dl. 0 ),(dl. 1) --> 0 ,1)
by A10, TARSKI:def 2;
then A13: (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
;
(Exec (SubFrom (dl. 0 ),(dl. 1)),(w +* ((dl. 0 ),(dl. 1) --> 0 ,1))) . (dl. 0 ) =
((w +* ((dl. 0 ),(dl. 1) --> 0 ,1)) . (dl. 0 )) - ((w +* ((dl. 0 ),(dl. 1) --> 0 ,1)) . (dl. 1))
by AMI_3:10
.=
- 1
by A11, A13
;
hence
for b1 being InsType of SCM st b1 = InsCode (SubFrom a,b) holds
not b1 is jump-only
by A9, A12, A11, AMISTD_1:def 3; verum