chore (Algebra.Order.Field.Defs): split off results about unbundled ordered algebra

[mattrobball]

We should be able to use these results about unbundled ordered algebra without importing the heavy machinery of the bundled typeclasses.

---

• [ ] depends on: #14393

[github-actions[bot]]

PR summary 5c6bd694ee

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Order.Field.Defs	213	212	-1 (-0.47%)

Import changes for all files

Files	Import difference
Too many changes (2641)!

---

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>

[mattrobball]

!bench

[leanprover-bot]

Here are the benchmark results for commit e52dca80ba64e35bbd376e8245cc346113182975. There were significant changes against commit 17a95d6c8cfe5a6dec779187375268505245c934:

  Benchmark                                      Metric         Change
  ====================================================================
- ~Mathlib.Algebra.Order.Field.Basic             instructions    22.2%
+ ~Mathlib.Algebra.Order.Group.Defs              instructions   -78.6%
+ ~Mathlib.Algebra.Order.Ring.Defs               instructions   -79.1%
+ ~Mathlib.NumberTheory.NumberField.Embeddings   instructions    -9.2%

[leanprover-community-mathlib4-bot]

This PR/issue depends on:

• ~~leanprover-community/mathlib4#14393~~ By Dependent Issues (🤖). Happy coding!

[kim-em]

bors merge

[mathlib-bors[bot]]

Pull request successfully merged into master.

Build succeeded:

• Build
• Lint style