What does it mean "To hold up against scrutiny"

So I have this sentence: "These books are very good and they hold up against both biblical and geopolitical scrutiny" and I'm not sure what would that mean...

Solution 1:

To me, the phrase "hold up against (or under) scrutiny" means that if carefully and closely examined, "it" will not change. Or, if you take the time to REALLY think something over, you'll arrive at the exact same conclusion reached at first glance.

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