After a nice relaxing Christmas break, I think it's time to do some Agda hacking.
I wanted to start off with a question, but instead I'm filling in all the gaps needed to give the Poset-enriched category of sets and relations so that I can check that I'm asking the right question...
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I think I actually want pseudomonoids on Span(Set). Or rather, on the equivalent bicategory that avoids having to use spans when I already have indexed types.
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Urgh, I don't really want to depend on indices coming from a setoid.
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@mudri Time to Ford...
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@jonmsterling In this case, I'm still working abstractly (doing a bunch of constructions over the category of setoids), and I hope my concrete cases can work okay with just propositional equality. The abstract stuff seems to have been going okay, except all the spam equivalence relation lemmas.
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text/gemini