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coproduct-product inclusion map #1919

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merged 5 commits into from
Apr 17, 2024

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Alizter
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@Alizter Alizter commented Apr 15, 2024

This generalises the wedge inclusion to other categories. I don't see anyway of removing the decidable paths requirement. In general I would assume this is equivalent to AC.

Signed-off-by: Ali Caglayan <[email protected]>

<!-- ps-id: c9607964-281d-4e0a-ae36-ecc56167dbd6 -->
@Alizter Alizter requested a review from jdchristensen April 15, 2024 21:54
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Should we redefine fwedge_incl using this? I guess we're missing that pType has products?

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Alizter commented Apr 16, 2024

Yes, I can add those here.

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Alizter commented Apr 16, 2024

I've shown that pType has all products and redefined the wedge inclusion. However I couldn't get the typeclasses to be found. AFAICT the instances are declared but Coq just cannot find them. My best guess is that unfolding is blocking Coq from finding things, since HasAllProducts is a definitional typeclass.

Signed-off-by: Ali Caglayan <[email protected]>
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Alizter commented Apr 17, 2024

I worked out what was causing the issue with the instances: Set Universe Minimization ToSet. Luckily I can locally disable it around the sensitive instance and everything works fine again.

@Alizter Alizter requested a review from jdchristensen April 17, 2024 01:09
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Instead of locally disabling minimization to Set, I added a universe variable. And I made a couple of other minor changes. If you agree with my changes, feel free to merge.

@Alizter Alizter merged commit d9ff10e into HoTT:master Apr 17, 2024
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@Alizter Alizter deleted the ps/rr/coproduct_product_inclusion_map branch April 17, 2024 13:52
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