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 s = s | ((Data-Locations ) \/ {(IC )})
let S be non empty with_non-empty_values IC-Ins-separated Mem-Struct over N; :: thesis: for s being State of S holds s = s | ((Data-Locations ) \/ {(IC )})
let s be State of S; :: thesis: s = s | ((Data-Locations ) \/ {(IC )})
thus s = s | (dom s)
.= s | ({(IC )} \/ (dom (DataPart s))) by Th2, Th24
.= s | ((Data-Locations ) \/ {(IC )}) by Th9 ; :: thesis: verum