Private Variable With Type Of Abstract Class

I've got an abstract class

public abstract class AbstractClass
{
//stuff
}

And a few classes that inherit from it

public class Class1 extends AbstractClass
{
//stuff
}
public class Class2 extends AbstractClass
{
//stuff
}

within another class I have a private variable with the type of the Abstract class, and within one of the methods I assign an object to the the variable like this:

public class Test
{
private AbstractClass temp;
public testMethod(){
Class1 anObject = new Class1();
temp = anObject;
}
}

Is this legal? Will temp become a Class1 object?