consider w being State of SCM ;
set t = w +* ((dl. 0 ),(dl. 1) --> 7,3);
A19: InsCode (Divide a,b) =
5
by RECDEF_2:def 1
.=
InsCode (Divide (dl. 0 ),(dl. 1))
by RECDEF_2:def 1
;
A20:
dom ((dl. 0 ),(dl. 1) --> 7,3) = {(dl. 0 ),(dl. 1)}
by FUNCT_4:65;
then
dl. 0 in dom ((dl. 0 ),(dl. 1) --> 7,3)
by TARSKI:def 2;
then A21: (w +* ((dl. 0 ),(dl. 1) --> 7,3)) . (dl. 0 ) =
((dl. 0 ),(dl. 1) --> 7,3) . (dl. 0 )
by FUNCT_4:14
.=
7
by AMI_3:52, FUNCT_4:66
;
A22:
7 = (2 * 3) + 1
;
A23:
dl. 0 <> IC SCM
by AMI_3:57;
dl. 1 in dom ((dl. 0 ),(dl. 1) --> 7,3)
by A20, TARSKI:def 2;
then (w +* ((dl. 0 ),(dl. 1) --> 7,3)) . (dl. 1) =
((dl. 0 ),(dl. 1) --> 7,3) . (dl. 1)
by FUNCT_4:14
.=
3
by FUNCT_4:66
;
then (Exec (Divide (dl. 0 ),(dl. 1)),(w +* ((dl. 0 ),(dl. 1) --> 7,3))) . (dl. 0 ) =
7 div 3
by A21, Lm6, AMI_3:12
.=
2
by A22, NAT_D:def 1
;
hence
for b1 being InsType of SCM st b1 = InsCode (Divide a,b) holds
not b1 is jump-only
by A19, A23, A21, AMISTD_1:def 3; verum