[Merged by Bors] - feat: all root system bases arise via IsAddIndecomposable.baseOf

[ocfnash]

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Work toward #28717

• depends on: [Merged by Bors] - feat: linear independence of indecomposable roots of a root system #33321

[github-actions]

PR summary 92019987ed

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

+ Submonoid.apply_ne_one_of_mem_or_inv_mem_closure
+ basisOfBase
+ exists_dual_baseOf_eq

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:

• [Merged by Bors] - feat: linear independence of indecomposable roots of a root system #33321
  By Dependent Issues (🤖). Happy coding!

[mathlib4-merge-conflict-bot]

This pull request has conflicts, please merge master and resolve them.

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded!

And happy new year! 🎉

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