consider w being State of SCM;
set t = w +* (((dl. 0),(dl. 1)) --> (0,1));
A1: InsCode (a := b) =
1
by RECDEF_2:def 1
.=
InsCode ((dl. 0) := (dl. 1))
by RECDEF_2:def 1
;
A2:
dl. 0 in Data-Locations SCM
by AMI_3:73;
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