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 DataPart (Initialize p) = DataPart p
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for p being PartState of S holds DataPart (Initialize p) = DataPart p
let p be PartState of S; :: thesis: DataPart (Initialize p) = DataPart p
thus DataPart (Initialize p) = (DataPart p) +* (DataPart (Start-At (0,S))) by FUNCT_4:75
.= (DataPart p) +* {} by Th30
.= DataPart p by FUNCT_4:22 ; :: thesis: verum