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
  max(f,g\f) c= max(f,g)
proof
  max(f,g\f) = min(max(f,g),max(f,1_minus f)) by FUZZY_1:9;
  hence thesis by FUZZY_1:17;
end;
