feat: new deriving handlers for BEq, Ord, ReflBEq and ReflOrd

[Rob23oba]

This PR adds new deriving handlers for BEq, Ord, ReflBEq and ReflOrd as well as a new framework for deriving handlers.

TODO: split

[mathlib-lean-pr-testing]

Mathlib CI status (docs):

• ❗ Batteries/Mathlib CI will not be attempted unless your PR branches off the nightly-with-mathlib branch. Try git rebase 47680c2e62831da4daa01abe567b3e4fc509fbae --onto 4620e4d946957ae7c582764c79eb93cc779f77e2. You can force Mathlib CI using the force-mathlib-ci label. (2026-08-25 18:55:06)
• ❗ Batteries/Mathlib CI will not be attempted unless your PR branches off the nightly-with-mathlib branch. Try git rebase 47680c2e62831da4daa01abe567b3e4fc509fbae --onto b9c9eb9a3acefaa242c1da2a31e3723e94fde3a5. You can force Mathlib CI using the force-mathlib-ci label. (2026-08-26 16:47:03)

[leanprover-bot]

Reference manual CI status:

• ❗ Reference manual CI will not be attempted unless your PR branches off the nightly-with-manual branch. Try git rebase 47680c2e62831da4daa01abe567b3e4fc509fbae --onto 16e77c407779fde9a649adf3478204d1915371a3. You can force reference manual CI using the force-manual-ci label. (2026-08-25 18:55:09)