This is exactly how i feel after i cut someone out of my life. And I've thought this same thing which has stopped me from being upset. What i tell myself is that the person you thought they were never actually existed, you were just loving the person you thought they were, whom doesn't exist, so there's no use in crying over something or someone that doesn't exist.
Now it's time to rebuild. I'm done being broken. I'm tired of hiding and crying. Watch out world, here I come! And this time I'm twice as strong simply because you've broken me before!! Interesting character trait.