Casting pointer from one base type to another

-EDIT-

Thanks for the quick response, I'd been having really weird problems with my code and I changed my casts to dynamic_cast and its working perfectly now

-ORIGINAL POST-

Is it safe to cast a pointer of one base class to another base class? To expand on this a bit, will the pointer I've marked in the following code not result in any undefined behavior?

class Base1
{
public:
   // Functions Here
};


class Base2
{
public:
   // Some other Functions here
};

class Derived: public Base1, public Base2
{
public:
  // Functions
};

int main()
{
  Base1* pointer1 = new Derived();
  Base2* pointer2 = (Base2*)pointer1; // Will using this pointer result in any undefined behavior?
  return 1;
}