[Merged by Bors] - feat: expand API around analytic functions

[sgouezel]

More basic lemmas for analytic functions (especially versions for AnalyticOn of lemmas we already have for AnalyticOnNhd).

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[github-actions]

PR summary 06ee7ef671

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

+ AnalyticWithinAt.mono_of_mem
+ ContinuousLinearMap.comp_hasFPowerSeriesWithinOnBall
+ HasFPowerSeriesWithinAt.mono_of_mem
+ HasFPowerSeriesWithinOnBall.analyticOn
+ HasFPowerSeriesWithinOnBall.analyticWithinAt_of_mem
+ HasFPowerSeriesWithinOnBall.changeOrigin
+ HasFPowerSeriesWithinOnBall.congr'
+ HasFPowerSeriesWithinOnBall.sum
+ analyticWithinAt_insert
+ hasFPowerSeriesWithinAt_insert
+ hasFPowerSeriesWithinOnBall_insert_self
+ radius_le_of_le
+ radius_le_radius_derivSeries

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.

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

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[mathlib-bors]

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