set w = the State of SCM+FSA;
set t = the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1));
A6: InsCode (AddTo (a,b)) = 2 by SCMFSA_2:19
.= InsCode (AddTo ((intloc 0),(intloc 1))) by SCMFSA_2:19 ;
A7: dom (((intloc 0),(intloc 1)) --> (0,1)) = {(intloc 0),(intloc 1)} by FUNCT_4:62;
then intloc 0 in dom (((intloc 0),(intloc 1)) --> (0,1)) by TARSKI:def 2;
then A8: ( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 0) = (((intloc 0),(intloc 1)) --> (0,1)) . (intloc 0) by FUNCT_4:13
.= 0 by AMI_3:10, FUNCT_4:63 ;
intloc 0 in Int-Locations by AMI_2:def 16;
then A9: intloc 0 in Data-Locations by SCMFSA_2:100, XBOOLE_0:def 3;
intloc 1 in dom (((intloc 0),(intloc 1)) --> (0,1)) by A7, TARSKI:def 2;
then ( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 1) = (((intloc 0),(intloc 1)) --> (0,1)) . (intloc 1) by FUNCT_4:13
.= 1 by FUNCT_4:63 ;
then (Exec ((AddTo ((intloc 0),(intloc 1))),( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))))) . (intloc 0) = 0 + 1 by A8, SCMFSA_2:64;
hence for b₁ being InsType of the InstructionsF of SCM+FSA st b₁ = InsCode (AddTo (a,b)) holds
not b₁ is jump-only by A6, A8, A9; :: thesis: verum