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[Merged by Bors] - feat(category_theory/opposites): Adds equivalences for functor categories. #7505

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This PR adds the following equivalences for categories C and D:

  1. (C ⥤ D)ᵒᵖ ≌ Cᵒᵖ ⥤ Dᵒᵖ induced by op and unop.
  2. (Cᵒᵖ ⥤ D)ᵒᵖ ≌ (C ⥤ Dᵒᵖ) induced by left_op and right_op.

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@adamtopaz adamtopaz requested a review from semorrison May 5, 2021 02:10
@adamtopaz adamtopaz added the awaiting-review The author would like community review of the PR label May 5, 2021
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Thanks 🎉

bors merge

bors bot pushed a commit that referenced this pull request May 6, 2021
…ries. (#7505)

This PR adds the following equivalences for categories `C` and `D`:
1. `(C ⥤ D)ᵒᵖ ≌ Cᵒᵖ ⥤ Dᵒᵖ` induced by `op` and `unop`.
2.  `(Cᵒᵖ ⥤ D)ᵒᵖ ≌ (C ⥤ Dᵒᵖ)` induced by `left_op` and `right_op`.
@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels May 6, 2021
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bors bot commented May 6, 2021

This PR was included in a batch that was canceled, it will be automatically retried

bors bot pushed a commit that referenced this pull request May 6, 2021
…ries. (#7505)

This PR adds the following equivalences for categories `C` and `D`:
1. `(C ⥤ D)ᵒᵖ ≌ Cᵒᵖ ⥤ Dᵒᵖ` induced by `op` and `unop`.
2.  `(Cᵒᵖ ⥤ D)ᵒᵖ ≌ (C ⥤ Dᵒᵖ)` induced by `left_op` and `right_op`.
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bors bot commented May 6, 2021

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request May 7, 2021
…ries. (#7505)

This PR adds the following equivalences for categories `C` and `D`:
1. `(C ⥤ D)ᵒᵖ ≌ Cᵒᵖ ⥤ Dᵒᵖ` induced by `op` and `unop`.
2.  `(Cᵒᵖ ⥤ D)ᵒᵖ ≌ (C ⥤ Dᵒᵖ)` induced by `left_op` and `right_op`.
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bors bot commented May 7, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(category_theory/opposites): Adds equivalences for functor categories. [Merged by Bors] - feat(category_theory/opposites): Adds equivalences for functor categories. May 7, 2021
@bors bors bot closed this May 7, 2021
@bors bors bot deleted the left_right_op_equiv branch May 7, 2021 09:30
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3 participants