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[Merged by Bors] - feat(algebraic_topology/simplicial_object): Some API for converting between simplicial and cosimplicial #7656

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This adds some code which is helpful to convert back and forth between simplicial and cosimplicial object.
For augmented objects, this doesn't follow directly from the existing API in category_theory/opposite.


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@adamtopaz adamtopaz requested a review from semorrison May 19, 2021 00:40
@adamtopaz adamtopaz added the awaiting-review The author would like community review of the PR label May 19, 2021
@adamtopaz adamtopaz requested a review from jcommelin May 19, 2021 00:43
Comment on lines 376 to 378
have := f.w,
apply_fun (λ η, η.app x.unop) at this,
exact this.symm,
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Suggested change
have := f.w,
apply_fun (λ η, η.app x.unop) at this,
exact this.symm,
exact (congr_app f.w x.unop).symm,

Took me a while to remember that we added congr_app for exactly this awkwardness!

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Done! That's a useful one :)

Comment on lines 358 to 360
have := f.unop.w,
apply_fun (λ η, η.app (op x)) at this,
exact this.symm,
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Suggested change
have := f.unop.w,
apply_fun (λ η, η.app (op x)) at this,
exact this.symm,
exact (congr_app f.unop w (op x)).symm,

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done

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Otherwise, looks great.

bors d+

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bors bot commented May 19, 2021

✌️ adamtopaz can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@github-actions github-actions bot added delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels May 19, 2021
adamtopaz and others added 4 commits May 18, 2021 19:52
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
…r-community/mathlib into simplicial_cosimplicial_equivs
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bors r+

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label May 19, 2021
bors bot pushed a commit that referenced this pull request May 19, 2021
…etween simplicial and cosimplicial (#7656)

This adds some code which is helpful to convert back and forth between simplicial and cosimplicial object.
For augmented objects, this doesn't follow directly from the existing API in `category_theory/opposite`.



Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com>
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bors bot commented May 19, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(algebraic_topology/simplicial_object): Some API for converting between simplicial and cosimplicial [Merged by Bors] - feat(algebraic_topology/simplicial_object): Some API for converting between simplicial and cosimplicial May 19, 2021
@bors bors bot closed this May 19, 2021
@bors bors bot deleted the simplicial_cosimplicial_equivs branch May 19, 2021 04:15
Vierkantor pushed a commit that referenced this pull request May 19, 2021
…etween simplicial and cosimplicial (#7656)

This adds some code which is helpful to convert back and forth between simplicial and cosimplicial object.
For augmented objects, this doesn't follow directly from the existing API in `category_theory/opposite`.



Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com>
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