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
for I being NAT -defined PartState of holds NPP (Initialize I) c= Initialize p

let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for p being PartState of S
for I being NAT -defined PartState of holds NPP (Initialize I) c= Initialize p

let p be PartState of S; :: thesis: for I being NAT -defined PartState of holds NPP (Initialize I) c= Initialize p
let I be NAT -defined PartState of ; :: thesis: NPP (Initialize I) c= Initialize p
NPP (Initialize I) = Start-At (0,S) by Th210;
hence NPP (Initialize I) c= Initialize p by FUNCT_4:26; :: thesis: verum