consider w being State of SCM+FSA ;
reconsider DWA = 2 as Element of INT by INT_1:def 1;
<*DWA*> in INT *
by FINSEQ_1:def 11;
then reconsider F = <*2*> as Element of ObjectKind (fsloc 0 ) by SCMFSA_2:27;
ObjectKind (intloc 0 ) = INT
by SCMFSA_2:26;
then reconsider D = 1 as Element of ObjectKind (intloc 0 ) by INT_1:def 1;
ObjectKind (intloc 1) = INT
by SCMFSA_2:26;
then reconsider E = 1 as Element of ObjectKind (intloc 1) by INT_1:def 1;
set t = ((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E);
A9: InsCode (f,a := b) =
10
by SCMFSA_2:51
.=
InsCode ((fsloc 0 ),(intloc 1) := (intloc 0 ))
by SCMFSA_2:51
;
A10:
fsloc 0 <> IC SCM+FSA
by SCMFSA_2:82;
A11:
(((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (fsloc 0 ) = F
by Lm8, Lm9, FUNCT_7:116;
A12:
(((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (intloc 0 ) = D
by AMI_3:52, BVFUNC14:15;
A13:
(((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (intloc 1) = E
by FUNCT_7:96;
consider k being Element of NAT such that
A14:
k = abs ((((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (intloc 1))
and
A15:
(Exec ((fsloc 0 ),(intloc 1) := (intloc 0 )),(((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E))) . (fsloc 0 ) = ((((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (fsloc 0 )) +* k,((((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E)) . (intloc 0 ))
by SCMFSA_2:99;
A16:
k = 1
by A13, A14, ABSVALUE:def 1;
A17:
F <> <*D*>
by GROUP_7:1;
(Exec ((fsloc 0 ),(intloc 1) := (intloc 0 )),(((w +* ((fsloc 0 ) .--> F)) +* ((intloc 0 ) .--> D)) +* ((intloc 1) .--> E))) . (fsloc 0 ) = <*D*>
by A11, A12, A15, A16, FUNCT_7:97;
hence
for b1 being InsType of SCM+FSA st b1 = InsCode (f,a := b) holds
not b1 is jump-only
by A9, A10, A11, A17, AMISTD_1:def 3; :: thesis: verum