feat: Tendsto (√·) atTop atTop

[Komyyy]

From CLT.
I proved the more strong statements: map (√·) atTop = atTop and comap (√·) atTop = atTop.
While I'm at it, I added a fun_prop attr to Continuous (√·).

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For reviewers: What I checked

• I loogled to make sure these lemmas are not yet in Mathlib.
• I made sure it's unnecessary to make the lemmas of NNReal.sqrt version because NNReal.sqrt is OrderIso and Mathlib already has the lemma of OrderIso version.

[github-actions]

PR summary 19e41d0839

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

+ comap_sqrt_atTop
+ map_sqrt_atTop
+ tendsto_sqrt_atTop

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).

[eric-wieser]

bors d+

Thanks!

[mathlib-bors]

✌️ Komyyy can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

[Komyyy]

bors r+