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[Merged by Bors] - feat(topology/discrete_quotient): add two lemmas #8464

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Add lemmas proj_bot_injective and proj_bot_bijective, the former needed for the latter, and the latter needed in LTE.


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@faenuccio faenuccio requested a review from adamtopaz July 29, 2021 14:53
@faenuccio faenuccio added the awaiting-review The author would like community review of the PR label Jul 29, 2021
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LGTM, will let someone more familiar with this ping bors

faenuccio and others added 2 commits July 29, 2021 17:12
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
@PatrickMassot PatrickMassot added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Aug 1, 2021
faenuccio and others added 2 commits August 3, 2021 18:07
@faenuccio faenuccio 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 Aug 3, 2021
Comment on lines 207 to 208
@[simp] lemma is_clopen_discrete [discrete_topology X] (x : set X) : is_clopen x :=
⟨is_open_discrete _, is_closed_discrete _⟩
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This lemma should go after is_closed_discrete in topology/order.lean.

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Ok, thanks, I'll move it.

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I don't know if is_clopen is available yet there...

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Eric is probably right... If this is the case, I guess this lemma could go near where is_clopen is defined.

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Should I put it in topology/subset_properties.lean alongside other properties of clopen sets?

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Yes, I think that's a reasonable place for it.

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Ok, done.

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Looks good to me. I'll activate bors once the CI is happy.

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

@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 Aug 3, 2021
bors bot pushed a commit that referenced this pull request Aug 3, 2021
Add lemmas `proj_bot_injective` and `proj_bot_bijective`, the former needed for the latter, and the latter needed in LTE.



Co-authored-by: Filippo A. E. Nuccio <65080144+faenuccio@users.noreply.github.com>
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bors bot commented Aug 3, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(topology/discrete_quotient): add two lemmas [Merged by Bors] - feat(topology/discrete_quotient): add two lemmas Aug 3, 2021
@bors bors bot closed this Aug 3, 2021
@bors bors bot deleted the fae_discrete_quotient branch August 3, 2021 21:32
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4 participants