
theorem
  for V being non empty RLSStruct, M being Subset of V, N being convex
  Subset of V st M c= N holds conv(M) c= N
proof
  let V be non empty RLSStruct;
  let M be Subset of V;
  let N be convex Subset of V;
  assume M c= N;
  then N in Convex-Family M by Def4;
  hence thesis by SETFAM_1:3;
end;
