No, I just didn't find any evidence that ASML licences "their core tech" from US. Let it be EUV but I still can't find any sources on it. Do you have some?
As if asking someone to support their pretty substantial claims is all of the sudden called entitled attitude? No, that's just how people reason about different views. You should understand that when you say something you should be able to stand behind your words. C/p a link that supports your view would have taken you 2 seconds. Yet you chose the ad-hominem strategy. Pretty telling for anyone reading this conversation.