let N be with_non-empty_elements set ; :: thesis: for S being non empty IC-Ins-separated Mem-Struct of N
for s being State of S holds s = s | ((Data-Locations ) \/ {(IC )})
let S be non empty IC-Ins-separated Mem-Struct of 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) by GRFUNC_1:23
.= s | ({(IC )} \/ (dom (DataPart s))) by Lm6, Th70
.= s | ((Data-Locations ) \/ {(IC )}) by Th50 ; :: thesis: verum