reserve X for BCI-algebra;
reserve x,y,z for Element of X;
reserve i,j,k,l,m,n for Nat;
reserve f,g for sequence of the carrier of X;

theorem Th22:
  for X being BCK-algebra of i,j,m,n holds X is BCK-algebra of n,j ,m,n
proof
  let X be BCK-algebra of i,j,m,n;
  for x,y being Element of X holds Polynom (n,j,x,y) = Polynom (m,n,y,x)
  proof
    let x,y be Element of X;
    Polynom (i,j,x,y) = Polynom (m,n,y,x) by Def3;
    hence thesis by Th19;
  end;
  hence thesis by Def3;
end;
