let N be with_zero set ; :: thesis: for S being non empty with_non-empty_values IC-Ins-separated Mem-Struct over N
for p being PartState of S
for k being Nat holds DataPart p c= IncIC (p,k)
let S be non empty with_non-empty_values IC-Ins-separated Mem-Struct over N; :: thesis: for p being PartState of S
for k being Nat holds DataPart p c= IncIC (p,k)
let p be PartState of S; :: thesis: for k being Nat holds DataPart p c= IncIC (p,k)
let k be Nat; :: thesis: DataPart p c= IncIC (p,k)
DataPart (IncIC (p,k)) = DataPart p by Th51;
hence DataPart p c= IncIC (p,k) by RELAT_1:59; :: thesis: verum