The one asterisk that needs to be added here of course is that with sufficiently low difficulty, a double spend attack becomes more viable, but this is a somewhat overblown threat. It's low reward, extremely high cost, and 'easily' undone if the market so agrees. It shouldn't be ignored, because it is indeed a threat, but at the same it's also kind of a 'meh' threat.
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edit: And for those who are may not be aware. Even once the final Bitcoin is mined, miners will continue mining - something which may be counter-intuitive. Whoever mines the block will get no coins, but will get all revenue from the fees attached to whichever transactions are processed.