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Fiber displayed category. #1164

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Fiber displayed category. #1164

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anuyts
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@anuyts anuyts commented Oct 29, 2024

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@anuyts anuyts marked this pull request as ready for review October 29, 2024 12:30
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maxsnew commented Oct 29, 2024

This can be constructed compositionally using displayed total categories, reindexing and Displayed.Instances.Path. I've already made a similar definition for the fiber up to isomorphism downstream here: https://github.com/maxsnew/cubical-categorical-logic/blob/main/Cubical/Categories/Displayed/Constructions/IsoFiber/Base.agda#L44 . The compositional definition would be preferable because then we get more code reuse.

Also it seems like you're adding a lot of small things to the (displayed) categories library lately, which is great. I think we should have a chat e.g., on Agda zulip about your formalization plans so we can coördinate our efforts a bit better

@anuyts anuyts marked this pull request as draft October 29, 2024 16:07
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anuyts commented Oct 29, 2024

Ah yes, I see, using a displayed total category is cleaner indeed.

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