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
for p being PartState of S holds dom (DataPart p) misses NAT

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for p being PartState of S holds dom (DataPart p) misses NAT
let p be PartState of S; :: thesis: dom (DataPart p) misses NAT
dom (DataPart p) misses {(IC S)} \/ NAT by Def50;
hence dom (DataPart p) misses NAT by XBOOLE_1:70; :: thesis: verum