chore(Algebra/Order): deduplicate material on ordered algebras

[artie2000]

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[github-actions[bot]]

PR summary 0a5fe12b77

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Order.Algebra	299	300	+1 (+0.33%)
Mathlib.Algebra.Order.Module.Algebra	300	301	+1 (+0.33%)

Import changes for all files

Files	Import difference
Mathlib.Algebra.Order.Algebra Mathlib.Algebra.Order.Module.Algebra	1

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Declarations diff

No declarations were harmed in the making of this PR! 🐙

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).

[artie2000]

In my real closed field repo, I had defined ordered algebras because I couldn't find them in Mathlib. Today I found out they have been "defined" in Mathlib not once but twice, 3 years apart and apparently completely independently. How can we improve discoverability of this slightly counter-intuitive formalisation?

[artie2000]

Moving it to Algebra.Order.Algebra would help

OK, I will switch the module deprecation.

[github-actions[bot]]

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

[jcommelin]

Thanks :tada:

bors merge

[mathlib-bors[bot]]

Build failed:

• Post-Build Step

[artie2000]

@jcommelin fixed

[YaelDillies]

maintainer merge

[github-actions[bot]]

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

[artie2000]

Spurious CI failure

[jcommelin]

Thanks :tada:

bors merge

[bryangingechen]

Hijacking this PR to run a quick test for #33042. Please ignore! maintainer merge?

[github-actions[bot]]

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

[mathlib-bors[bot]]

Pull request successfully merged into master.

Build succeeded:

• Post-Build Step
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