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[Merged by Bors] - feat(topology/order): Add closure.mono#5631

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[Merged by Bors] - feat(topology/order): Add closure.mono#5631
mans0954 wants to merge 4 commits intomasterfrom
mans0954/Closure.mono

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@mans0954 mans0954 commented Jun 30, 2023

Adds closure.mono which asserts that if t₁ ≤ t₂ for topologies t₁, t₂, then the closure of a set in t₁ will be a subset of the closure of the set in t₂. Analogous to IsOpen.mono and IsClosed.mono. Also adds closure[t₁] notation to specify the topology to use.


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Previously opened as leanprover-community/mathlib3#19224

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Thanks!

maintainer merge

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github-actions bot commented Jul 1, 2023

🚀 Pull request has been placed on the maintainer queue by j-loreaux.

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bors bot commented Jul 6, 2023

✌️ mans0954 can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

mans0954 and others added 2 commits July 6, 2023 05:31
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mans0954 commented Jul 6, 2023

bors r+

bors bot pushed a commit that referenced this pull request Jul 6, 2023
Adds `closure.mono` which asserts that if `t₁ ≤ t₂` for topologies `t₁`, `t₂`, then the closure of a set in `t₁` will be a subset of the closure of the set in `t₂`. Analogous to `IsOpen.mono` and `IsClosed.mono`. Also adds `closure[t₁]` notation to specify the topology to use.



Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com>
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bors bot commented Jul 6, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat(topology/order): Add closure.mono [Merged by Bors] - feat(topology/order): Add closure.mono Jul 6, 2023
@bors bors bot closed this Jul 6, 2023
@bors bors bot deleted the mans0954/Closure.mono branch July 6, 2023 06:47
kim-em pushed a commit that referenced this pull request Jul 6, 2023
Adds `closure.mono` which asserts that if `t₁ ≤ t₂` for topologies `t₁`, `t₂`, then the closure of a set in `t₁` will be a subset of the closure of the set in `t₂`. Analogous to `IsOpen.mono` and `IsClosed.mono`. Also adds `closure[t₁]` notation to specify the topology to use.



Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com>
kbuzzard pushed a commit that referenced this pull request Jul 6, 2023
Adds `closure.mono` which asserts that if `t₁ ≤ t₂` for topologies `t₁`, `t₂`, then the closure of a set in `t₁` will be a subset of the closure of the set in `t₂`. Analogous to `IsOpen.mono` and `IsClosed.mono`. Also adds `closure[t₁]` notation to specify the topology to use.



Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com>
kim-em pushed a commit that referenced this pull request Aug 14, 2023
Adds `closure.mono` which asserts that if `t₁ ≤ t₂` for topologies `t₁`, `t₂`, then the closure of a set in `t₁` will be a subset of the closure of the set in `t₂`. Analogous to `IsOpen.mono` and `IsClosed.mono`. Also adds `closure[t₁]` notation to specify the topology to use.



Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com>
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3 participants