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[Merged by Bors] - feat(Data/Complex/Order, Analysis/Complex/Basic): add OrderClosedTopology instance, monotonicity of ofReal#10112

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[Merged by Bors] - feat(Data/Complex/Order, Analysis/Complex/Basic): add OrderClosedTopology instance, monotonicity of ofReal#10112
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MS_LSeries_ComplexOrder

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This adds an OrderClosedTopology instance (scoped to ComplexOrder) for the complex numbers (to make things like tsum_le_tsum work with the partial order on the complex numbers) and the fact that Complex.ofReal' is monotone with respect to this order.


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@MichaelStollBayreuth MichaelStollBayreuth added awaiting-review awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. t-topology Topological spaces, uniform spaces, metric spaces, filters t-order Order theory labels Jan 29, 2024
@github-actions github-actions bot removed the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label Jan 29, 2024
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bors d+

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mathlib-bors bot commented Feb 1, 2024

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

@ghost ghost added delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). and removed awaiting-review labels Feb 1, 2024
Co-authored-by: Johan Commelin <johan@commelin.net>
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bors r+

mathlib-bors bot pushed a commit that referenced this pull request Feb 1, 2024
…logy instance, monotonicity of ofReal (#10112)

This adds an `OrderClosedTopology` instance (scoped to `ComplexOrder`) for the complex numbers (to make things like `tsum_le_tsum` work with the partial order on the complex numbers) and the fact that `Complex.ofReal'` is monotone with respect to this order.



Co-authored-by: Michael Stoll <99838730+MichaelStollBayreuth@users.noreply.github.com>
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mathlib-bors bot commented Feb 1, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Data/Complex/Order, Analysis/Complex/Basic): add OrderClosedTopology instance, monotonicity of ofReal [Merged by Bors] - feat(Data/Complex/Order, Analysis/Complex/Basic): add OrderClosedTopology instance, monotonicity of ofReal Feb 1, 2024
@mathlib-bors mathlib-bors bot closed this Feb 1, 2024
@mathlib-bors mathlib-bors bot deleted the MS_LSeries_ComplexOrder branch February 1, 2024 22:25
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