feat(Analysis.Complex): Infinite products in topological groups with zero

[jonwashburn]

PR 7 towards Hadamard Factorization
Co-authored-by: Matteo Cipollina matteo.cipollina@yahoo.it

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[github-actions]

PR summary 18ef4ef4f3

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Topology.Algebra.InfiniteSum.GroupWithZero (new file)	833

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Declarations diff

+ HasProd.inv₀
+ prod_le_exp_sum

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).