reserve x,y for Real;
reserve a,b,c for Element of Real_Lattice;
reserve p,q,r for Element of Real_Lattice;
reserve A,B for non empty set;
reserve f,g,h for Element of Funcs(A,REAL);

theorem Th14:
  (maxfuncreal(A)).((minfuncreal(A)).(g,f),f)=f
proof
  thus (maxfuncreal(A)).((minfuncreal(A)).(g,f),f) =(maxfuncreal(A)).((
  minfuncreal(A)).(f,g),f) by Th9
    .=f by Th13;
end;
