Programming with interface and programming to interface

Another good habit that every programmer adopt is programming to interfaces, rather than programming to implementations. It is clearly not about using interfaces in your application, though you are using interfaces at design level, it is very hard to make coders to get benefit out it. There is a very big difference between programming with interfaces and programming to interfaces. The main difference is that

Multiple Inheritance in Interfaces supports in Java.

We all know that Java won't support multiple inheritance to avoid diamond problem. So there is no way of extending multiple classes in java. That ends the discussion about multiple inheritance in classes. But still Java allows multiple inheritance in Interfaces. That raises the question about the same diamond problem in Interface as well right?