Edit: It looks like the Carl Zeiss subsidiary that does the semiconductor manufacturing tech is part owned by ASML:
https://en.wikipedia.org/wiki/Carl_Zeiss_SMT
Edit2: Looks like ASML invested a billion Euros into Carl Zeiss SMT:
https://www.asml.com/en/news/press-releases/2016/zeiss-and-a...
On one hand it’s anti-competitive because it makes it more difficult for the customer’s competitors to use leading edge technologies; on the other those leading edge technologies would be much harder and take longer to develop without the customer’s contribution.
And how is it symbiotic if Zeiss can't take other customers?
Guaranteed revenue that doesn't need sales/marketing to keep going.
A bunch, like more than a million dollars
So: they depend on each other, and they get more business and make more money by getting closer and have incentives to help the other improve (so it is not an adversarial relationship). Hence, symbiosis.
And in the imaging and litho world surprising in the level of trust. For example, Sony actually makes a number of sensors for Nikon and other camera makers, despite having often competing products.