set w = the State of SCM;
set t = the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0));
A15: InsCode (MultBy (a,b)) = 4
.= InsCode (MultBy ((dl. 0),(dl. 1))) ;
A16: dom (((dl. 0),(dl. 1)) --> (1,0)) = {(dl. 0),(dl. 1)} by FUNCT_4:62;
then dl. 0 in dom (((dl. 0),(dl. 1)) --> (1,0)) by TARSKI:def 2;
then A17: ( the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 0) = (((dl. 0),(dl. 1)) --> (1,0)) . (dl. 0) by FUNCT_4:13
.= 1 by AMI_3:10, FUNCT_4:63 ;
A18: dl. 0 in Data-Locations by AMI_3:28;
dl. 1 in dom (((dl. 0),(dl. 1)) --> (1,0)) by A16, TARSKI:def 2;
then A19: ( the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 1) = (((dl. 0),(dl. 1)) --> (1,0)) . (dl. 1) by FUNCT_4:13
.= 0 by FUNCT_4:63 ;
(Exec ((MultBy ((dl. 0),(dl. 1))),( the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0))))) . (dl. 0) = (( the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 0)) * (( the State of SCM +* (((dl. 0),(dl. 1)) --> (1,0))) . (dl. 1)) by AMI_3:5
.= 0 by A19 ;
hence for b₁ being InsType of the InstructionsF of SCM st b₁ = InsCode (MultBy (a,b)) holds
not b₁ is jump-only by A15, A17, A18; :: thesis: verum