consider w being State of (SCM S);
consider e being Element of S such that
A1: e <> 0. S by STRUCT_0:def 19;
reconsider e = e as Element of S ;

A2: now

assume - e = 0. S ; :: thesis: contradiction
then e = - (0. S) by RLVECT_1:30;
hence contradiction by A1, RLVECT_1:25; :: thesis: verum

end;

set t = w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e);
A3: InsCode (SubFrom p,q) = 3 by RECDEF_2:def 1
.= InsCode (SubFrom (dl. S,0 ),(dl. S,1)) by RECDEF_2:def 1 ;
IC (SCM S) = IC SCM by AMI_3:4, SCMRING2:9;
then A4: dl. S,0 <> IC (SCM S) by AMI_3:57;
A5: dom ((dl. S,0 ),(dl. S,1) --> (0. S),e) = {(dl. S,0 ),(dl. S,1)} by FUNCT_4:65;
then dl. S,0 in dom ((dl. S,0 ),(dl. S,1) --> (0. S),e) by TARSKI:def 2;
then A6: (w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e)) . (dl. S,0 ) = ((dl. S,0 ),(dl. S,1) --> (0. S),e) . (dl. S,0 ) by FUNCT_4:14
.= 0. S by AMI_3:52, FUNCT_4:66 ;
dl. S,1 in dom ((dl. S,0 ),(dl. S,1) --> (0. S),e) by A5, TARSKI:def 2;
then A7: (w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e)) . (dl. S,1) = ((dl. S,0 ),(dl. S,1) --> (0. S),e) . (dl. S,1) by FUNCT_4:14
.= e by FUNCT_4:66 ;
(Exec (SubFrom (dl. S,0 ),(dl. S,1)),(w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e))) . (dl. S,0 ) = ((w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e)) . (dl. S,0 )) - ((w +* ((dl. S,0 ),(dl. S,1) --> (0. S),e)) . (dl. S,1)) by SCMRING2:15
.= - e by A6, A7, RLVECT_1:27 ;
hence for b₁ being InsType of (SCM S) st b₁ = InsCode (SubFrom p,q) holds
not b₁ is jump-only by A3, A4, A6, A2, AMISTD_1:def 3; :: thesis: verum