set w = the State of SCM;
set t = the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1));
A6: InsCode (AddTo (a,b)) =
2
.=
InsCode (AddTo ((dl. 0),(dl. 1)))
;
A7:
dom (((dl. 0),(dl. 1)) --> (0,1)) = {(dl. 0),(dl. 1)}
by FUNCT_4:62;
then
dl. 0 in dom (((dl. 0),(dl. 1)) --> (0,1))
by TARSKI:def 2;
then A8: ( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 0) =
(((dl. 0),(dl. 1)) --> (0,1)) . (dl. 0)
by FUNCT_4:13
.=
0
by AMI_3:10, FUNCT_4:63
;
A9:
dl. 0 in Data-Locations
by AMI_3:28;
dl. 1 in dom (((dl. 0),(dl. 1)) --> (0,1))
by A7, TARSKI:def 2;
then ( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 1) =
(((dl. 0),(dl. 1)) --> (0,1)) . (dl. 1)
by FUNCT_4:13
.=
1
by FUNCT_4:63
;
then
( dl. 0 <> IC & (Exec ((AddTo ((dl. 0),(dl. 1))),( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))))) . (dl. 0) = 0 + 1 )
by A8, AMI_3:3, AMI_3:13;
hence
for b1 being InsType of the InstructionsF of SCM st b1 = InsCode (AddTo (a,b)) holds
not b1 is jump-only
by A6, A8, A9; verum