[Merged by Bors] - feat(Topology/ClusterPt): Swapped version of ClusterPt.frequently

[tb65536]

This PR adds the theorem

theorem ClusterPt.frequently' {F : Filter X} {p : X → Prop} (hx : ClusterPt x F)
    (hp : ∀ᶠ y in F, p y) : ∃ᶠ y in nhds x, p y := by

which is basically a swapped version of the existing theorem

theorem ClusterPt.frequently {F : Filter X} {p : X → Prop} (hx : ClusterPt x F)
    (hp : ∀ᶠ y in 𝓝 x, p y) : ∃ᶠ y in F, p y :=

I'm not sure if there's a common generalization.

---

[github-actions]

PR summary f1fa81263d

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff

+ ClusterPt.frequently'
+ Filter.HasBasis.clusterPt_iff_frequently'
+ clusterPt_iff_frequently'

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).

[ADedecker]

If I had to point out a "common generalization", I guess it would be Filter.inf_neBot_iff_frequently_left and Filter.inf_neBot_iff_frequently_right, but I guess we need these special cases anyways.

Could you also add the analogues of Filter.HasBasis.clusterPt_iff_frequently and clusterPt_iff_frequently, with similar proofs?

[ADedecker]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• CI Success