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\g)\h = f\max(g,h)
proof
  thus (f\g)\h = min(f,min(1_minus g,1_minus h)) by FUZZY_1:7
    .= f\max(g,h) by FUZZY_1:11;
end;
