set w = the State of SCM+FSA;
set t = the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1));
A10: InsCode (SubFrom (a,b)) = 3 by SCMFSA_2:20
.= InsCode (SubFrom ((intloc 0),(intloc 1))) by SCMFSA_2:20 ;
A11: 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 A12: ( 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 A13: intloc 0 in Data-Locations by SCMFSA_2:100, XBOOLE_0:def 3;
intloc 1 in dom (((intloc 0),(intloc 1)) --> (0,1)) by A11, TARSKI:def 2;
then A14: ( 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 ;
(Exec ((SubFrom ((intloc 0),(intloc 1))),( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))))) . (intloc 0) = (( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 0)) - (( the State of SCM+FSA +* (((intloc 0),(intloc 1)) --> (0,1))) . (intloc 1)) by SCMFSA_2:65
.= - 1 by A12, A14 ;
hence for b₁ being InsType of the InstructionsF of SCM+FSA st b₁ = InsCode (SubFrom (a,b)) holds
not b₁ is jump-only by A10, A12, A13; :: thesis: verum