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[Merged by Bors] - feat(Analysis): add three little theorems relating argument to image#28352

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[Merged by Bors] - feat(Analysis): add three little theorems relating argument to image#28352
agjftucker wants to merge 4 commits intoleanprover-community:masterfrom
agjftucker:patch-1

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These relate argument to image under a continuous function, given a Prop that eventually holds on a product of filters in domain and codomain. In fact the second pair of statements concern a segment whose end-points are the image. They should prove useful in PRs 26300 and 26985.


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github-actions bot commented Aug 13, 2025

PR summary 0b3c06942a

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ Eventually.image_of_prod
+ Eventually.segment_of_prod_nhds
+ Eventually.segment_of_prod_nhdsWithin

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.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@agjftucker agjftucker added the t-analysis Analysis (normed *, calculus) label Aug 13, 2025
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bors r+
Thanks!

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Sep 29, 2025
mathlib-bors bot pushed a commit that referenced this pull request Sep 29, 2025
…28352)

These relate argument to image under a continuous function, given a Prop that eventually holds on a product of filters in domain and codomain. In fact the second pair of statements concern a segment whose end-points are the image. They should prove useful in PRs 26300 and 26985.
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mathlib-bors bot commented Sep 29, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Analysis): add three little theorems relating argument to image [Merged by Bors] - feat(Analysis): add three little theorems relating argument to image Sep 29, 2025
@mathlib-bors mathlib-bors bot closed this Sep 29, 2025
@agjftucker agjftucker deleted the patch-1 branch September 29, 2025 12:12
joelriou pushed a commit to joelriou/mathlib4 that referenced this pull request Oct 2, 2025
…eanprover-community#28352)

These relate argument to image under a continuous function, given a Prop that eventually holds on a product of filters in domain and codomain. In fact the second pair of statements concern a segment whose end-points are the image. They should prove useful in PRs 26300 and 26985.
mitchell-horner pushed a commit to mitchell-horner/mathlib4 that referenced this pull request Oct 6, 2025
…eanprover-community#28352)

These relate argument to image under a continuous function, given a Prop that eventually holds on a product of filters in domain and codomain. In fact the second pair of statements concern a segment whose end-points are the image. They should prove useful in PRs 26300 and 26985.
BeibeiX0 pushed a commit to BeibeiX0/mathlib4 that referenced this pull request Nov 7, 2025
…eanprover-community#28352)

These relate argument to image under a continuous function, given a Prop that eventually holds on a product of filters in domain and codomain. In fact the second pair of statements concern a segment whose end-points are the image. They should prove useful in PRs 26300 and 26985.
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