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(min(f,g),f\g) c= f
proof
A1: f\g c= f by FUZZY_1:17;
  min(f,g) c= f by FUZZY_1:17;
  hence thesis by A1,FUZZY_1:19;
end;
