let N be with_zero set ; :: thesis: for S being non empty with_non-empty_values IC-Ins-separated Mem-Struct over N
for s being State of S holds Data-Locations c= dom s

let S be non empty with_non-empty_values IC-Ins-separated Mem-Struct over N; :: thesis: for s being State of S holds Data-Locations c= dom s
let s be State of S; :: thesis: Data-Locations c= dom s
dom s = the carrier of S by PARTFUN1:def 2;
hence Data-Locations c= dom s ; :: thesis: verum