feat(Topology/UniformSpace/Closeds): completeness of (Nonempty)Compacts

[gasparattila]

This PR generalizes the completeness result of NonemptyCompacts from metric spaces to uniform spaces.

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• depends on: feat(Topology/Sets): range of NonemptyCompacts.toCompacts #34036

[github-actions]

PR summary e2a36edc3e

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Topology.UniformSpace.Closeds	683	684	+1 (+0.15%)

Import changes for all files

Files	Import difference
Mathlib.Topology.UniformSpace.Closeds	1

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Declarations diff

+ _root_.TopologicalSpace.Compacts.completeSpace_iff
+ coe_eq_empty
+ coe_nonempty
+ completeSpace_iff
+ instance [CompleteSpace α] : CompleteSpace (Compacts α) := by
+ instance [CompleteSpace α] : CompleteSpace (NonemptyCompacts α)
+ isClosedEmbedding_toCompacts
+ range_toCompacts
- instCompleteSpace

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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat(Topology/Sets): range of NonemptyCompacts.toCompacts #34036
  By Dependent Issues (🤖). Happy coding!