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feat(Analysis/PSeries): add version of Cauchy condensation with weaker assumptions#34985

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jvanwinden:condensed_iff_eventually
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feat(Analysis/PSeries): add version of Cauchy condensation with weaker assumptions#34985
jvanwinden wants to merge 1 commit intoleanprover-community:masterfrom
jvanwinden:condensed_iff_eventually

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@jvanwinden
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Add a version of summable_condensed_iff_of_nonneg which only requires that f is eventually positive and antitone.


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@github-actions github-actions bot added new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! t-analysis Analysis (normed *, calculus) labels Feb 8, 2026
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github-actions bot commented Feb 8, 2026

PR summary fe7afa6e1a

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ summable_condensed_iff_of_nonneg'

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).

@jvanwinden
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This came up when trying to prove non-summability of fun n ↦ 1 / (n * (Real.log n).sqrt) and was discussed here. Some things to consider:

  • What is the 'canonical' way of encoding eventual monotonicity along a filter? (i.e., should h_mono be rewritten)
  • Would it be good to also have a version of summable_condensed_iff with eventual antitonicity?

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