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[Merged by Bors] - feat: Eventual boundedness of neighborhoods#8009

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YaelDillies wants to merge 5 commits intomasterfrom
bounded_le_nhds_class
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[Merged by Bors] - feat: Eventual boundedness of neighborhoods#8009
YaelDillies wants to merge 5 commits intomasterfrom
bounded_le_nhds_class

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@YaelDillies YaelDillies added awaiting-review mathlib3-pair This PR is a forward-port of a mathlib3 PR or part of one, either under review or recently merged t-topology Topological spaces, uniform spaces, metric spaces, filters t-order Order theory labels Oct 29, 2023
Comment on lines +134 to +138
refine ⟨fun x ↦ ?_⟩
obtain ⟨a, ha⟩ := isBounded_ge_nhds x.1
obtain ⟨b, hb⟩ := isBounded_ge_nhds x.2
rw [← @Prod.mk.eta _ _ x, nhds_prod_eq]
exact ⟨(a, b), ha.prod_mk hb⟩
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instead of copying the proof, you can deduce it from the other one by order-dual arguments, with something like

Suggested change
refine ⟨fun x ↦ ?_⟩
obtain ⟨a, ha⟩ := isBounded_ge_nhds x.1
obtain ⟨b, hb⟩ := isBounded_ge_nhds x.2
rw [← @Prod.mk.eta _ _ x, nhds_prod_eq]
exact ⟨(a, b), ha.prod_mk hb⟩
⟨(instBoundedLENhdsClassProd (α := αᵒᵈ) (β := βᵒᵈ)).isBounded_le_nhds⟩

(if you have named the instance above). Same thing for the next instance.

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Since this is a forward-port PR, I think this is best left to a follow-up. The ideal place for this comment would have been leanprover-community/mathlib3#18629!

@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels Oct 30, 2023
YaelDillies and others added 2 commits October 30, 2023 18:29
Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
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This looks like a faithful forward-port, so

bors merge

Please open a follow-up PR to address @sgouezel's concerns.

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Nov 1, 2023
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bors bot commented Nov 1, 2023

Canceled.

@github-actions github-actions bot removed the awaiting-author A reviewer has asked the author a question or requested changes. label Nov 1, 2023
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bors merge

bors bot pushed a commit that referenced this pull request Nov 1, 2023
Forward port leanprover-community/mathlib3#18629




Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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bors bot commented Nov 1, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat: Eventual boundedness of neighborhoods [Merged by Bors] - feat: Eventual boundedness of neighborhoods Nov 1, 2023
@bors bors bot closed this Nov 1, 2023
@bors bors bot deleted the bounded_le_nhds_class branch November 1, 2023 13:33
mathlib-bors bot pushed a commit that referenced this pull request Jun 13, 2025
#15420)

This is a partial attempt at #15410, porting [#8009](leanprover-community/mathlib3#8009)



Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
pfaffelh pushed a commit to pfaffelh/mathlib4 that referenced this pull request Jun 15, 2025
pfaffelh pushed a commit to pfaffelh/mathlib4 that referenced this pull request Jun 15, 2025
Rida-Hamadani pushed a commit to Rida-Hamadani/mathlib4 that referenced this pull request Jun 24, 2025
callesonne pushed a commit to callesonne/mathlib4 that referenced this pull request Jul 24, 2025
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3 participants