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"content": "It's just that the actual proof/calculation uses the co+op-version, because showing it the other way is much harder. And also one has to do work to show I've got bigroupoids. A priori it's a 2-functor with this property, and I can show separately they are bigroupoids.\n\nSo I could say it's a 2-functor between bicategories such that blah blah and oh by the way, they are (genuinely weak) bigroupoids.",
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