consider w being State of SCM ;
set t = w +* ((dl. 0 ),(dl. 1) --> 1,0 );
A14: InsCode (MultBy a,b) =
4
by MCART_1:7
.=
InsCode (MultBy (dl. 0 ),(dl. 1))
by MCART_1:7
;
A15:
dl. 0 <> IC SCM
by AMI_3:57;
dom ((dl. 0 ),(dl. 1) --> 1,0 ) = {(dl. 0 ),(dl. 1)}
by FUNCT_4:65;
then A16:
( dl. 0 in dom ((dl. 0 ),(dl. 1) --> 1,0 ) & dl. 1 in dom ((dl. 0 ),(dl. 1) --> 1,0 ) )
by TARSKI:def 2;
then A17: (w +* ((dl. 0 ),(dl. 1) --> 1,0 )) . (dl. 0 ) =
((dl. 0 ),(dl. 1) --> 1,0 ) . (dl. 0 )
by FUNCT_4:14
.=
1
by AMI_3:52, FUNCT_4:66
;
A18: (w +* ((dl. 0 ),(dl. 1) --> 1,0 )) . (dl. 1) =
((dl. 0 ),(dl. 1) --> 1,0 ) . (dl. 1)
by A16, FUNCT_4:14
.=
0
by FUNCT_4:66
;
(Exec (MultBy (dl. 0 ),(dl. 1)),(w +* ((dl. 0 ),(dl. 1) --> 1,0 ))) . (dl. 0 ) =
((w +* ((dl. 0 ),(dl. 1) --> 1,0 )) . (dl. 0 )) * ((w +* ((dl. 0 ),(dl. 1) --> 1,0 )) . (dl. 1))
by AMI_3:11
.=
0
by A18
;
hence
for b1 being InsType of SCM st b1 = InsCode (MultBy a,b) holds
not b1 is jump-only
by A14, A15, A17, AMISTD_1:def 3; :: thesis: verum