
theorem :: Maxstability:
for R being finite RelStr holds stability# R <= card the carrier of R
proof
 let R be finite RelStr;
  consider C being finite StableSet of R such that
A1: card C = stability# R by DILWORTH:def 6;
  Segm card C c= Segm card the carrier of R by CARD_1:11;
 hence stability# R <= card the carrier of R by A1,NAT_1:39;
end;
