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I would be worried about the US militarily capturing Eindhoven if Europe dared to cut them off.
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Unlikely, but also not needed. The major ruling parties in The Netherlands are always strongly pro-US. Even if the US would attack the International Criminal Court in The Hague and kidnap its judges, the VVD (the liberal party) and the PVV (extreme-right party) would find ways to defend it.

There is no way they would go as far as cutting the US off from ASML. At least not without a significant shift in Dutch politics.

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ASML is under US export control though. Probably because there is US tech in there.
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