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[Merged by Bors] - feat: indicator of a clopen set as a bounded continuous function#18291

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YaelDillies wants to merge 2 commits intomasterfrom
indicator_bcf
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[Merged by Bors] - feat: indicator of a clopen set as a bounded continuous function#18291
YaelDillies wants to merge 2 commits intomasterfrom
indicator_bcf

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From PFR


Open in Gitpod

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github-actions bot commented Oct 27, 2024

PR summary 4cd6b85efa

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ indicator

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

@github-actions github-actions bot added the t-topology Topological spaces, uniform spaces, metric spaces, filters label Oct 27, 2024
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@Ruben-VandeVelde Ruben-VandeVelde left a comment

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Simple enough

maintainer merge


theorem norm_indicator_le_one (s : Set α) (x : α) : ‖(indicator s (1 : α → ℝ)) x‖ ≤ 1 := by
simp only [indicator, Pi.one_apply]; split_ifs <;> norm_num
simp only [Set.indicator, Pi.one_apply]; split_ifs <;> norm_num
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Is this a (weak) indication that the new one should be protected?

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Maybe, but in general I think it's fine to have both A.X and B.X unprotected.

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🚀 Pull request has been placed on the maintainer queue by Ruben-VandeVelde.

@github-actions github-actions bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Oct 28, 2024
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Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Oct 28, 2024
mathlib-bors bot pushed a commit that referenced this pull request Oct 28, 2024
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mathlib-bors bot commented Oct 28, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: indicator of a clopen set as a bounded continuous function [Merged by Bors] - feat: indicator of a clopen set as a bounded continuous function Oct 28, 2024
@mathlib-bors mathlib-bors bot closed this Oct 28, 2024
@mathlib-bors mathlib-bors bot deleted the indicator_bcf branch October 28, 2024 13:17
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3 participants