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 I being NAT -defined PartState of holds NPP I = {}

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for I being NAT -defined PartState of holds NPP I = {}
let I be NAT -defined PartState of ; :: thesis: NPP I = {}
ProgramPart I = I by RELAT_1:209;
hence NPP I = {} by XBOOLE_1:37; :: thesis: verum