What is v13 support library support if we already have our own fragment classes
You might not want to use your own Fragment classes. For example, nested fragments were only added to native Fragment classes at API level 17 - if you need nested fragments on older devices, you should use backport.
Why did they split it into v4 and v13 if we have all the features of v13 in v4?
Not every class in support-v13 works with a level 4 API. It is noteworthy that support-v13 has implementations of FragmentPagerAdapter and FragmentStatePagerAdapter that work with native fragments. support-v13 is a superset, not identical, support-v4 .
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