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feat(Convex): visibility through a set #17928

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feat(Convex): visibility through a set #17928

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YaelDillies
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@YaelDillies YaelDillies commented Oct 18, 2024

Define the relation of visibility with respect to a set, and lower bound how many elements of a set a point sees in terms of the dimension of that set.

This will be used to prove a sort of strengthening of Freiman's lemma in additive combinatorics.

From LeanCamCombi


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Define the relation of visibility with respect to a set, and lower bound how many elements of a set a point sees in terms of the dimension of that set.

This will be used to prove a strengthening of Freiman's theorem in additive combinatorics.

From LeanCamCombi
@YaelDillies YaelDillies added t-analysis Analysis (normed *, calculus) t-euclidean-geometry Affine and axiomatic geometry labels Oct 18, 2024
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github-actions bot commented Oct 18, 2024

PR summary a77a8512a5

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.Analysis.Convex.Visible 1356

Declarations diff

+ IsClosed.convexHull_subset_affineSpan_isVisible
+ IsClosed.exists_wbtw_isVisible
+ IsOpen.eq_of_isVisible_of_left_mem
+ IsVisible
+ IsVisible.eq_of_mem_interior
+ IsVisible.mem_convexHull_isVisible
+ IsVisible.mono
+ IsVisible.of_convexHull_of_pos
+ IsVisible.rfl
+ isVisible_comm
+ isVisible_iff_lineMap
+ rank_le_card_isVisible
+ ⟨IsVisible.symm,

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.

@b-mehta
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b-mehta commented Nov 5, 2024

maintainer merge

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github-actions bot commented Nov 5, 2024

🚀 Pull request has been placed on the maintainer queue by b-mehta.

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