feat(Algebra/Order/Algebra): algebra is ordered iff inclusion map is monotone

[artie2000]

• Prove that an extension of ordered semirings forms an ordered algebra iff the inclusion map is injective
• Reorganise section variables for clarity

The typeclass PartialOrder α in IsOrderedModule.of_algebraMap_mono can be generalised to Preorder α. This has no mathematical application and all the other lemmas are proved over a partially ordered type, so this generalisation was not made.

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[github-actions]

PR summary 9989fd28a8

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

+ IsOrderedModule.of_algebraMap_mono
+ isOrderedModule_iff_algebraMap_mono

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).