consider w being State of SCM+FSA;
set t = w +* (((intloc 0),(intloc 1)) --> (0,1));
A1: InsCode (a := b) =
1
by SCMFSA_2:42
.=
InsCode ((intloc 0) := (intloc 1))
by SCMFSA_2:42
;
A3:
dom (((intloc 0),(intloc 1)) --> (0,1)) = {(intloc 0),(intloc 1)}
by FUNCT_4:65;
then A4:
intloc 1 in dom (((intloc 0),(intloc 1)) --> (0,1))
by TARSKI:def 2;
intloc 0 in dom (((intloc 0),(intloc 1)) --> (0,1))
by A3, TARSKI:def 2;
then A5: (w +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 0) =
(((intloc 0),(intloc 1)) --> (0,1)) . (intloc 0)
by FUNCT_4:14
.=
0
by AMI_3:52, FUNCT_4:66
;
intloc 0 in Int-Locations
by SCMFSA_2:def 4;
then XX:
intloc 0 in Data-Locations SCM+FSA
by SCMFSA_2:127, XBOOLE_0:def 3;
(Exec (((intloc 0) := (intloc 1)),(w +* (((intloc 0),(intloc 1)) --> (0,1))))) . (intloc 0) =
(w +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 1)
by SCMFSA_2:89
.=
(((intloc 0),(intloc 1)) --> (0,1)) . (intloc 1)
by A4, FUNCT_4:14
.=
1
by FUNCT_4:66
;
hence
for b1 being InsType of SCM+FSA st b1 = InsCode (a := b) holds
not b1 is jump-only
by A1, A5, AMISTD_1:def 3, XX; verum