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[Merged by Bors] - refactor(topology/sheaf_condition): remove has_products for restriction to open subspace #17361

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@alreadydone alreadydone added awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. t-algebraic-geometry Algebraic geometry labels Nov 5, 2022
@alreadydone alreadydone requested a review from a team as a code owner November 5, 2022 02:53
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@alreadydone alreadydone changed the title chore(algebraic_geometry/sheafed_space): partially remove has_products refactor(topology/sheaf_condition): remove has_products for restriction to open subspace Nov 5, 2022
@alreadydone alreadydone added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Nov 5, 2022
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Nov 5, 2022
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bors d=erdOne

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bors bot commented Nov 5, 2022

✌️ erdOne 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 Nov 5, 2022
@alreadydone alreadydone requested a review from a team as a code owner November 6, 2022 04:29
@mathlib-dependent-issues-bot mathlib-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Nov 6, 2022
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@erdOne CI has passed. Could you please merge this? Thanks!

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erdOne commented Nov 8, 2022

bors merge

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bors bot commented Nov 8, 2022

👎 Rejected by label

@erdOne erdOne removed the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Nov 8, 2022
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erdOne commented Nov 8, 2022

bors merge

bors bot pushed a commit that referenced this pull request Nov 8, 2022
…on to open subspace (#17361)

Co-authored-by: erd1 <the.erd.one@gmail.com>
Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
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Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title refactor(topology/sheaf_condition): remove has_products for restriction to open subspace [Merged by Bors] - refactor(topology/sheaf_condition): remove has_products for restriction to open subspace Nov 8, 2022
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@bors bors bot deleted the SheafedSpace_without_products branch November 8, 2022 03:51
bors bot pushed a commit that referenced this pull request Nov 9, 2022
…17378)

The constructions used to prove `is_sheaf_iff_is_sheaf_equalizer_products` in *sites.lean* is redundant because the equivalence can now be achieved via `is_sheaf` (site version) ↔ opens_le_cover ↔ pairwise_intersections ↔ equalizer_products. Refactoring the proof of this equivalence after removal of these constructions, however, requires rearranging the import chain and moving things around, explaining the large diff.

The author @justus-springer of the constructions has previously [approved the removal](#11706 (comment)) in #11706.

The universe levels in *equalizer_products.lean* are also fixed and generalized (a cover of a space should be indexed by a type in the same universe), leading to the addition of a few universe ascriptions.

- [x] depends on: #17361 



Co-authored-by: erd1 <the.erd.one@gmail.com>
Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
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