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Opposite categories, gaunt categories, replete subprecategories, large Yoneda, and miscellaneous additions #880

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merged 58 commits into from
Nov 1, 2023

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fredrik-bakke
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@fredrik-bakke fredrik-bakke commented Oct 22, 2023

Additions to category theory

  • Replace yoneda lemmas by universe polymorphic ones and do some refactorings
  • Additions opposite categories
  • Gaunt categories
  • Replete subprecategories
  • Subcategories are categories
  • Prove some identities for composition of functors (This is developed further in Fun with functors #886)
  • Fix an oversight in the definition of sub(pre)categories

Other additions

  • Add missing lemmas regarding sets and 1-types
  • iterated version of is-trunc-succ-is-trunc
  • Fix DOI links

Depends on #891.

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fredrik-bakke commented Oct 25, 2023

Sorry for the delay. I got stuck on showing that iso types in replete subprecategories are equivalent to iso types in the base precategory, but I've not included that in the recent push.

EDIT: I proved it

@VojtechStep VojtechStep mentioned this pull request Oct 26, 2023
@fredrik-bakke fredrik-bakke marked this pull request as draft October 28, 2023 11:12
@fredrik-bakke fredrik-bakke changed the title Opposite categories, gaunt categories, replete subprecategories, large Yoneda, and miscellaneous additions Opposite categories, gaunt categories, replete subprecategories, and miscellaneous additions Oct 28, 2023
@fredrik-bakke fredrik-bakke marked this pull request as ready for review October 28, 2023 13:20
@fredrik-bakke fredrik-bakke changed the title Opposite categories, gaunt categories, replete subprecategories, and miscellaneous additions Opposite categories, gaunt categories, replete subprecategories, large Yoneda, and miscellaneous additions Oct 28, 2023
@fredrik-bakke fredrik-bakke marked this pull request as draft October 28, 2023 14:26
@fredrik-bakke fredrik-bakke marked this pull request as ready for review October 28, 2023 20:29
@EgbertRijke EgbertRijke enabled auto-merge (squash) November 1, 2023 14:07
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I'm merging this one, because it is creating problems to keep this hanging.

@EgbertRijke EgbertRijke merged commit bc21da4 into UniMath:master Nov 1, 2023
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@fredrik-bakke fredrik-bakke deleted the pct branch November 1, 2023 14:27
@fredrik-bakke fredrik-bakke restored the pct branch November 1, 2023 14:30
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2 participants