Rollup merge of #100473 - compiler-errors:normalize-the-fn-def-sig-plz, r=lcnr

Attempt to normalize `FnDef` signature in `InferCtxt::cmp`

Stashes a normalization callback in `InferCtxt` so that the signature we get from `tcx.fn_sig(..).subst(..)` in `InferCtxt::cmp` can be properly normalized, since we cannot expect for it to have normalized types since it comes straight from astconv.

This is kind of a hack, but I will say that `@jyn514` found the fact that we present unnormalized types to be very confusing in real life code, and I agree with that feeling. Though altogether I am still a bit unsure about whether this PR is worth the effort, so I'm open to alternatives and/or just closing it outright.

On the other hand, this isn't a ridiculously heavy implementation anyways -- it's less than a hundred lines of changes, and half of that is just miscellaneous cleanup.

This is stacked onto #100471 which is basically unrelated, and it can be rebased off of that when that lands or if needed.

---

The code:
```rust
trait Foo { type Bar; }

impl<T> Foo for T {
    type Bar = i32;
}

fn foo<T>(_: <T as Foo>::Bar) {}

fn needs_i32_ref_fn(f: fn(&'static i32)) {}

fn main() {
    needs_i32_ref_fn(foo::<()>);
}
```

Before:
```
   = note: expected fn pointer `fn(&'static i32)`
                 found fn item `fn(<() as Foo>::Bar) {foo::<()>}`
```

After:
```
   = note: expected fn pointer `fn(&'static i32)`
                 found fn item `fn(i32) {foo::<()>}`
```

compiler/rustc_trait_selection/src/traits/engine.rs

@@ -17,6 +17,7 @@ use rustc_span::Span;
 
 pub trait TraitEngineExt<'tcx> {
     fn new(tcx: TyCtxt<'tcx>) -> Box<Self>;
+    fn new_in_snapshot(tcx: TyCtxt<'tcx>) -> Box<Self>;
 }
 
 impl<'tcx> TraitEngineExt<'tcx> for dyn TraitEngine<'tcx> {
@@ -27,6 +28,14 @@ impl<'tcx> TraitEngineExt<'tcx> for dyn TraitEngine<'tcx> {
             Box::new(FulfillmentContext::new())
         }
     }
+
+    fn new_in_snapshot(tcx: TyCtxt<'tcx>) -> Box<Self> {
+        if tcx.sess.opts.unstable_opts.chalk {
+            Box::new(ChalkFulfillmentContext::new())
+        } else {
+            Box::new(FulfillmentContext::new_in_snapshot())
+        }
+    }
 }
 
 /// Used if you want to have pleasant experience when dealing
@@ -41,6 +50,10 @@ impl<'a, 'tcx> ObligationCtxt<'a, 'tcx> {
         Self { infcx, engine: RefCell::new(<dyn TraitEngine<'_>>::new(infcx.tcx)) }
     }
 
+    pub fn new_in_snapshot(infcx: &'a InferCtxt<'a, 'tcx>) -> Self {
+        Self { infcx, engine: RefCell::new(<dyn TraitEngine<'_>>::new_in_snapshot(infcx.tcx)) }
+    }
+
     pub fn register_obligation(&self, obligation: PredicateObligation<'tcx>) {
         self.engine.borrow_mut().register_predicate_obligation(self.infcx, obligation);
     }