set p = 1;
set q = 2;
let i be Instruction of ; :: thesis: ( ( for l being Instruction-Location of SCM holds NIC i,l = {(Next )} ) implies JUMP i is empty )
assume A1: for l being Instruction-Location of SCM holds NIC i,l = {(Next )} ; :: thesis: JUMP i is empty
set X = { (NIC i,f) where f is Instruction-Location of SCM : verum } ;
reconsider p = 1, q = 2 as Instruction-Location of SCM by AMI_1:def 4;
assume not JUMP i is empty ; :: thesis: contradiction
then consider x being set such that
A2: x in meet { (NIC i,f) where f is Instruction-Location of SCM : verum } by XBOOLE_0:def 1;
NIC i,p = {(Next )} by A1;
then {(Next )} in { (NIC i,f) where f is Instruction-Location of SCM : verum } ;
then x in {(Next )} by A2, SETFAM_1:def 1;
then A3: x = Next by TARSKI:def 1;
NIC i,q = {(Next )} by A1;
then {(Next )} in { (NIC i,f) where f is Instruction-Location of SCM : verum } ;
then x in {(Next )} by A2, SETFAM_1:def 1;
hence contradiction by A3, TARSKI:def 1; :: thesis: verum