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I deleted the last sentence which announced updoming work by van Doorn, and instead added the references:
Floris van Doorn, §5 in: On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory (2018) [arXiv:1808.10690]
Floris van Doorn, Egbert Rijke, Ulrik Buchholtz, Favonia, Steve Awodey, Jeremy Avigad, Mike Shulman, Jonas Frey, Spectral [github.com/cmu-phil/Spectral]
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