Is the ETH Zurich part of the University of Zurich?
Some quotes from Wikipedia:

ETH is a federal institute (i.e., under direct administration by the Swiss government), whereas the University of Zürich is a cantonal institution. […] In the beginning, both universities were co-located in the buildings of the University of Zürich.
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Events of the neighboring University of Zürich are well-attended by ETH students and vice versa.
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The amicable rivalry between ETH and the neighbouring University of Zürich has been cultivated since 1951 […]