reserve x,y,y1,y2 for set;
reserve C for non empty set;
reserve c for Element of C;
reserve f,h,g,h1 for Membership_Func of C;

theorem
  f\EMF(C) = f
proof
  thus f\EMF(C) = min(f,UMF(C)) by FUZZY_1:40
    .= f by FUZZY_1:18;
end;
