How can I properly compare two Integers in Java?

I know that if you compare a boxed primitive Integer with a constant such as:

Integer a = 4;
if (a < 5)

a will automatically be unboxed and the comparison will work.

However, what happens when you are comparing two boxed Integers and want to compare either equality or less than/greater than?

Integer a = 4;
Integer b = 5;

if (a == b)

Will the above code result in checking to see if they are the same object, or will it auto-unbox in that case?

What about:

Integer a = 4;
Integer b = 5;

if (a < b)

?