`derive_partial_eq_without_eq` will trigger for third party crate derives

Summary

error: you are deriving `PartialEq` and can implement `Eq`
  --> my/project/folder/mod.rs:90:48
   |
90 |         #[derive(third_party::Trait, Debug)]
   |                  ^^^^^^^^^^^^^^^^^^
   |
   = help: for further information visit https://rust-lang.github.io/rust-clippy/master/index.html#derive_partial_eq_without_eq
   = note: this error originates in the derive macro `third_party::Trait` (in Nightly builds, run with -Z macro-backtrace for more info)

derive_partial_eq_without_eq seems to trigger for proc macro derives from third party crates which adds PartialEq but not Eq, which while a user can theoretically add an implementation for / derive Eq as well, it could cause breakage when the crate author updates and adds the missing implementation / derive as well

Reproducer

I tried this code:

#[derive(third_party::Trait, Debug)]

I expected to see this happen: No lint error

Instead, this happened: A lint error for derive_partial_eq_without_eq

Version

rustc 1.63.0 (4b91a6ea7 2022-08-08)
binary: rustc
commit-hash: 4b91a6ea7258a947e59c6522cd5898e7c0a6a88f
commit-date: 2022-08-08
host: aarch64-apple-darwin
release: 1.63.0
LLVM version: 14.0.5

Additional Labels

No response

Start by locating the implementation and tests for the derive_partial_eq_without_eq lint in rust-clippy. Reproduce the reported #[derive(third_party::Trait, Debug)] case, then verify that derives from third-party proc macros no longer produce the lint while the intended cases still do.