[Merged by Bors] - feat: change definition of HasFTaylorSeries to take a parameter in WithTop ℕ∞ instead of ℕ∞

[sgouezel]

For now this is useless (and even counter-productive, as it means we have to add some casts in some places), but it will make it possible to integrate analytic functions in the smooth hierarchy in #17152.

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[github-actions]

PR summary 0a2c40596a

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

+ HasFTaylorSeriesUpTo.of_le
+ hasFTaylorSeriesUpToOn_succ_nat_iff_right
+ hasFTaylorSeriesUpToOn_top_iff_add
+ hasFTaylorSeriesUpToOn_top_iff_right
+ hasFTaylorSeriesUpTo_fourierIntegral'
+ hasFTaylorSeriesUpTo_succ_nat_iff_right
+ natCast_le_of_coe_top_le_withTop
+ natCast_lt_of_coe_top_le_withTop

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).

[Command-Master]

Section names aren't all that important, but I think simply WithTop would be a better namespace here, as it's already in the ENat namespace

[sgouezel]

I'd rather keep withTop_enat: otherwise, the section could be interpreted as a discussion on the relationship between ENat and WithTop Nat, and ways to go back and forth.

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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