set w = the State of SCM+FSA;
set t = the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (7,3));
A20: InsCode (Divide (a,b)) =
5
by SCMFSA_2:22
.=
InsCode (Divide ((intloc 0),(intloc 1)))
by SCMFSA_2:22
;
A21:
dom (((intloc 0),(intloc 1)) --> (7,3)) = {(intloc 0),(intloc 1)}
by FUNCT_4:62;
then
intloc 0 in dom (((intloc 0),(intloc 1)) --> (7,3))
by TARSKI:def 2;
then A22: ( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (7,3))) . (intloc 0) =
(((intloc 0),(intloc 1)) --> (7,3)) . (intloc 0)
by FUNCT_4:13
.=
7
by AMI_3:10, FUNCT_4:63
;
A23:
7 = (2 * 3) + 1
;
intloc 0 in Int-Locations
by AMI_2:def 16;
then A24:
intloc 0 in Data-Locations
by SCMFSA_2:100, XBOOLE_0:def 3;
intloc 1 in dom (((intloc 0),(intloc 1)) --> (7,3))
by A21, TARSKI:def 2;
then ( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (7,3))) . (intloc 1) =
(((intloc 0),(intloc 1)) --> (7,3)) . (intloc 1)
by FUNCT_4:13
.=
3
by FUNCT_4:63
;
then (Exec ((Divide ((intloc 0),(intloc 1))),( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (7,3))))) . (intloc 0) =
7 div 3
by A22, Lm2, SCMFSA_2:67
.=
2
by A23, NAT_D:def 1
;
hence
for b1 being InsType of the InstructionsF of SCM+FSA st b1 = InsCode (Divide (a,b)) holds
not b1 is jump-only
by A20, A22, A24; verum