[Merged by Bors] - feat(Topology/UniformSpace): generalize TotallyBounded to filters

[gasparattila]

Some of these generalizations will be useful for showing the completeness of TopologicalSpace.Compacts in a non-metrizable setting.

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[github-actions]

PR summary 4458a06c94

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ Filter.HasBasis.filter_totallyBounded_iff
+ Filter.TotallyBounded
+ Filter.TotallyBounded.exists_clusterPt
+ Filter.TotallyBounded.exists_subset_of_mem
+ Filter.TotallyBounded.isCompact_setOf_clusterPt
+ Filter.TotallyBounded.map
+ Filter.TotallyBounded.mono
+ Filter.TotallyBounded.sup
+ Filter.TotallyBounded.totallyBounded_setOf_clusterPt
+ Filter.totallyBounded_biSup
+ Filter.totallyBounded_bot
+ Filter.totallyBounded_comap
+ Filter.totallyBounded_iSup
+ Filter.totallyBounded_iff_filter
+ Filter.totallyBounded_iff_ultrafilter
+ Filter.totallyBounded_map_iff
+ Filter.totallyBounded_principal_iff
+ Filter.totallyBounded_sup
+ Ultrafilter.cauchy_of_totallyBounded'
+ image_eq_biUnion
+ preimage_eq_biUnion
+ totallyBounded_sSup

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.

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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).

[j-loreaux]

Thanks! This PR was quite well-done!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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