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 dom s = {(IC )} \/ (Data-Locations )
let S be non empty IC-Ins-separated Mem-Struct of N; :: thesis: for s being State of S holds dom s = {(IC )} \/ (Data-Locations )
let s be State of S; :: thesis: dom s = {(IC )} \/ (Data-Locations )
dom s = the carrier of S by PARTFUN1:def 2;
hence dom s = {(IC )} \/ (Data-Locations ) by STRUCT_0:4; :: thesis: verum