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feat(Topology/Separation/Hausdorff): add Filter.limUnder_congr#39474

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feat(Topology/Separation/Hausdorff): add Filter.limUnder_congr#39474
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emlis42:add-limUnder-lemma

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@emlis42 emlis42 commented May 16, 2026

This PR adds Filter.limUnder_congr and some lemmas about limUnder.

Filter.limUnder_congr allows rewriting limUnder expressions using equivalences of convergence behavior, without proving the filters actually converge, allowing convergence proofs to be carried out on more convenient expressions latter.

@github-actions github-actions Bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label May 16, 2026
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Welcome new contributor!

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@github-actions github-actions Bot added large-import Automatically added label for PRs with a significant increase in transitive imports t-topology Topological spaces, uniform spaces, metric spaces, filters labels May 16, 2026
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PR summary 0f4efd907f

Import changes exceeding 2%

% File
+13.16% Mathlib.Order.Filter.AtTopBot.Archimedean

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Order.Filter.AtTopBot.Archimedean 798 903 +105 (+13.16%)
Import changes for all files
Files Import difference
Mathlib.Order.Filter.AtTopBot.Interval 94
Mathlib.Order.Filter.AtTopBot.Archimedean 105

Declarations diff

+ Filter.limUnder_congr
+ PNat.limUnder_eq
+ PNat.limUnder_eq_limUnder_succ
+ limUnder_add_eq_limUnder_nat

You can run this locally as follows
## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.


No changes to strong technical debt.
No changes to weak technical debt.

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large-import Automatically added label for PRs with a significant increase in transitive imports new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! t-topology Topological spaces, uniform spaces, metric spaces, filters

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