Auto merge of #82020 - jyn514:mut-passes, r=camelid,GuillaumeGomez

Make `Clean` take &mut DocContext

- Take `FnMut` in `rustc_trait_selection::find_auto_trait_generics`
- Take `&mut DocContext` in most of `clean`
- Collect the iterator in auto_trait_impls instead of iterating lazily; the lifetimes were really bad.

This combined with https://github.com/rust-lang/rust/pull/82018 should hopefully help with https://github.com/rust-lang/rust/pull/82014 by allowing `cx.cache.exported_traits` to be modified in `register_res`. Previously it had to use interior mutability, which required either adding a RefCell to `cache.exported_traits` on *top* of the existing `RefCell<Cache>` or mixing reads and writes between `cx.exported_traits` and `cx.cache.exported_traits`. I don't currently have that working but I expect it to be reasonably easy to add after this.

compiler/rustc_trait_selection/src/traits/auto_trait.rs

@@ -77,7 +77,7 @@ impl<'tcx> AutoTraitFinder<'tcx> {
         ty: Ty<'tcx>,
         orig_env: ty::ParamEnv<'tcx>,
         trait_did: DefId,
-        auto_trait_callback: impl Fn(&InferCtxt<'_, 'tcx>, AutoTraitInfo<'tcx>) -> A,
+        mut auto_trait_callback: impl FnMut(&InferCtxt<'_, 'tcx>, AutoTraitInfo<'tcx>) -> A,
     ) -> AutoTraitResult<A> {
         let tcx = self.tcx;