consider w being State of SCM ;
set t = w +* ((dl. 0 ),(dl. 1) --> 0 ,1);
A1: InsCode (a := b) =
1
by MCART_1:7
.=
InsCode ((dl. 0 ) := (dl. 1))
by MCART_1:7
;
A2:
dl. 0 <> IC SCM
by AMI_3:57;
A3:
dom ((dl. 0 ),(dl. 1) --> 0 ,1) = {(dl. 0 ),(dl. 1)}
by FUNCT_4:65;
then A4:
dl. 1 in dom ((dl. 0 ),(dl. 1) --> 0 ,1)
by TARSKI:def 2;
dl. 0 in dom ((dl. 0 ),(dl. 1) --> 0 ,1)
by A3, TARSKI:def 2;
then A5: (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
;
(Exec ((dl. 0 ) := (dl. 1)),(w +* ((dl. 0 ),(dl. 1) --> 0 ,1))) . (dl. 0 ) =
(w +* ((dl. 0 ),(dl. 1) --> 0 ,1)) . (dl. 1)
by AMI_3:8
.=
((dl. 0 ),(dl. 1) --> 0 ,1) . (dl. 1)
by A4, FUNCT_4:14
.=
1
by FUNCT_4:66
;
hence
for b1 being InsType of SCM st b1 = InsCode (a := b) holds
not b1 is jump-only
by A1, A2, A5, AMISTD_1:def 3; verum