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Category of groups, uniqness of adjunctions #1065

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merged 8 commits into from
Nov 17, 2023

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marcinjangrzybowski
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  • Grp is Univalent Category
  • opposite adjunctions
  • freeGroupFunctor adjoint to forgeting group structure
  • lemmas about ^opF and natural transformations
  • hsome module parameters promoted to generalised variables

PR contains some strict isomorphisms, but I was unable to apply declStrictIsoToEquiv macro to them (agda stalled)

…e uniqueness of left adjoints up to natural isomorphisms.

- Defined `AssocCong₂⋆L` and `AssocCong₂⋆R` helpers
- Defined `GroupCategory` as a category of groups, `Forget` functor , equivalence `GroupsCatIso≃GroupEquiv`, and univalence of Grp.
@marcinjangrzybowski
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I developed this in agda 2.6.4, and see now that 2.6.3 in CI is not able to infere all metas. Is there plan to migrate cubical to 2.6.4 in near future? if not I will just make it more explicit.

@felixwellen
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There is a plan - I think I'll get to that in the next days.

@felixwellen
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felixwellen commented Oct 7, 2023

If you want to use cat-solvers with agda 2.6.4, you can use the change in this PR #1050

@marcinjangrzybowski
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marcinjangrzybowski commented Oct 11, 2023

I made definitions slightly more explicit to make it work with 2.6.3

@marcinjangrzybowski
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it seams that 2.6.3 is not able to fully make use of the fact that ^opF is strict incolution

@felixwellen
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Please rebase/merge master to fix the CI issue

@felixwellen felixwellen self-assigned this Nov 17, 2023
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Nice!

@felixwellen
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... to have these things. I guess you are working on things which will use this stuff in conjunction...

@marcinjangrzybowski
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Yes :) expect next PR this weekend!

@felixwellen felixwellen merged commit e9b8b40 into agda:master Nov 17, 2023
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2 participants