consider w being State of SCM ;
set t = w +* ((dl. 0 ),(dl. 1) --> 0 ,1);
A5: InsCode (AddTo a,b) =
2
by MCART_1:7
.=
InsCode (AddTo (dl. 0 ),(dl. 1))
by MCART_1:7
;
A6:
dl. 0 <> IC SCM
by AMI_3:57;
dom ((dl. 0 ),(dl. 1) --> 0 ,1) = {(dl. 0 ),(dl. 1)}
by FUNCT_4:65;
then A7:
( dl. 0 in dom ((dl. 0 ),(dl. 1) --> 0 ,1) & dl. 1 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
;
(w +* ((dl. 0 ),(dl. 1) --> 0 ,1)) . (dl. 1) =
((dl. 0 ),(dl. 1) --> 0 ,1) . (dl. 1)
by A7, FUNCT_4:14
.=
1
by FUNCT_4:66
;
then
(Exec (AddTo (dl. 0 ),(dl. 1)),(w +* ((dl. 0 ),(dl. 1) --> 0 ,1))) . (dl. 0 ) = 0 + 1
by A8, AMI_3:9;
hence
for b1 being InsType of SCM st b1 = InsCode (AddTo a,b) holds
not b1 is jump-only
by A5, A6, A8, AMISTD_1:def 3; :: thesis: verum