set w = the State of SCM;
set t = the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1));
A10: InsCode (SubFrom (a,b)) =
3
.=
InsCode (SubFrom ((dl. 0),(dl. 1)))
;
A11:
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 A12: ( 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
;
A13:
dl. 0 in Data-Locations
by AMI_3:28;
dl. 1 in dom (((dl. 0),(dl. 1)) --> (0,1))
by A11, TARSKI:def 2;
then A14: ( 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
;
(Exec ((SubFrom ((dl. 0),(dl. 1))),( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))))) . (dl. 0) =
(( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 0)) - (( the State of SCM +* (((dl. 0),(dl. 1)) --> (0,1))) . (dl. 1))
by AMI_3:4
.=
- 1
by A12, A14
;
hence
for b1 being InsType of the InstructionsF of SCM st b1 = InsCode (SubFrom (a,b)) holds
not b1 is jump-only
by A10, A12, A13; verum