[Merged by Bors] - feat(Order/Group): a nontrivial densely linear ordered group isn't cyclic

[urkud]

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• depends on: [Merged by Bors] - refactor(Cyclic): redefine, move definition #15544

[github-actions]

PR summary 336b5db7e5

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

+ not_isCyclic_of_denselyOrdered

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.

[leanprover-community-mathlib4-bot]

This PR/issue depends on:

• [Merged by Bors] - refactor(Cyclic): redefine, move definition #15544
  By Dependent Issues (🤖). Happy coding!

[YaelDillies]

Everything looks sensible and I don't really see an opportunity to fold the proof

maintainer merge

[github-actions]

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

[mattrobball]

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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[pechersky]

@urkud this addition seems relevant to the result I show for Archimedean groups in #15846. Would you mind taking a look please?