let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N holds not IC S in Data-Locations S
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: not IC S in Data-Locations S
assume IC S in Data-Locations S ; :: thesis: contradiction
then not IC S in {(IC S)} \/ NAT by XBOOLE_0:def 5;
then not IC S in {(IC S)} by XBOOLE_0:def 3;
hence contradiction by TARSKI:def 1; :: thesis: verum