
theorem Th21:
  for A being non-empty partial UAStr holds LimDomRel A c= DomRel A
proof
  let A be non-empty partial UAStr, x,y be object;
  assume
A1: [x,y] in LimDomRel A;
  then
A2: x in the carrier of A by ZFMISC_1:87;
  y in the carrier of A by A1,ZFMISC_1:87;
  then [x,y] in (DomRel A)|^(A,0) by A1,A2,Def7;
  hence thesis by Th15;
end;
