diff --git a/compiler/rustc_trait_selection/src/solve/assembly.rs b/compiler/rustc_trait_selection/src/solve/assembly.rs
index d23b550621e17..61319a3ed7c19 100644
--- a/compiler/rustc_trait_selection/src/solve/assembly.rs
+++ b/compiler/rustc_trait_selection/src/solve/assembly.rs
@@ -1,6 +1,8 @@
 //! Code shared by trait and projection goals for candidate assembly.
 
 use super::infcx_ext::InferCtxtExt;
+#[cfg(doc)]
+use super::trait_goals::structural_traits::*;
 use super::{CanonicalResponse, Certainty, EvalCtxt, Goal, QueryResult};
 use rustc_hir::def_id::DefId;
 use rustc_infer::traits::query::NoSolution;
@@ -98,52 +100,75 @@ pub(super) trait GoalKind<'tcx>: TypeFoldable<'tcx> + Copy + Eq {
         assumption: ty::Predicate<'tcx>,
     ) -> QueryResult<'tcx>;
 
+    // A type implements an `auto trait` if its components do as well. These components
+    // are given by built-in rules from [`instantiate_constituent_tys_for_auto_trait`].
     fn consider_auto_trait_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A trait alias holds if the RHS traits and `where` clauses hold.
     fn consider_trait_alias_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A type is `Copy` or `Clone` if its components are `Sized`. These components
+    // are given by built-in rules from [`instantiate_constituent_tys_for_sized_trait`].
     fn consider_builtin_sized_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A type is `Copy` or `Clone` if its components are `Copy` or `Clone`. These
+    // components are given by built-in rules from [`instantiate_constituent_tys_for_copy_clone_trait`].
     fn consider_builtin_copy_clone_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A type is `PointerSized` if we can compute its layout, and that layout
+    // matches the layout of `usize`.
     fn consider_builtin_pointer_sized_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A callable type (a closure, fn def, or fn ptr) is known to implement the `Fn<A>`
+    // family of traits where `A` is given by the signature of the type.
     fn consider_builtin_fn_trait_candidates(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
         kind: ty::ClosureKind,
     ) -> QueryResult<'tcx>;
 
+    // `Tuple` is implemented if the `Self` type is a tuple.
     fn consider_builtin_tuple_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // `Pointee` is always implemented.
+    //
+    // See the projection implementation for the `Metadata` types for all of
+    // the built-in types. For structs, the metadata type is given by the struct
+    // tail.
     fn consider_builtin_pointee_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A generator (that comes from an `async` desugaring) is known to implement
+    // `Future<Output = O>`, where `O` is given by the generator's return type
+    // that was computed during type-checking.
     fn consider_builtin_future_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
     ) -> QueryResult<'tcx>;
 
+    // A generator (that doesn't come from an `async` desugaring) is known to
+    // implement `Generator<R, Yield = Y, Return = O>`, given the resume, yield,
+    // and return types of the generator computed during type-checking.
     fn consider_builtin_generator_candidate(
         ecx: &mut EvalCtxt<'_, 'tcx>,
         goal: Goal<'tcx, Self>,
diff --git a/compiler/rustc_trait_selection/src/solve/mod.rs b/compiler/rustc_trait_selection/src/solve/mod.rs
index f44648c95d742..cc7bb94537673 100644
--- a/compiler/rustc_trait_selection/src/solve/mod.rs
+++ b/compiler/rustc_trait_selection/src/solve/mod.rs
@@ -337,15 +337,13 @@ impl<'a, 'tcx> EvalCtxt<'a, 'tcx> {
             // That won't actually reflect in the query response, so it seems moot.
             self.make_canonical_response(Certainty::AMBIGUOUS)
         } else {
-            self.infcx.probe(|_| {
-                let InferOk { value: (), obligations } = self
-                    .infcx
-                    .at(&ObligationCause::dummy(), goal.param_env)
-                    .sub(goal.predicate.a, goal.predicate.b)?;
-                self.evaluate_all_and_make_canonical_response(
-                    obligations.into_iter().map(|pred| pred.into()).collect(),
-                )
-            })
+            let InferOk { value: (), obligations } = self
+                .infcx
+                .at(&ObligationCause::dummy(), goal.param_env)
+                .sub(goal.predicate.a, goal.predicate.b)?;
+            self.evaluate_all_and_make_canonical_response(
+                obligations.into_iter().map(|pred| pred.into()).collect(),
+            )
         }
     }
 
@@ -378,22 +376,22 @@ impl<'a, 'tcx> EvalCtxt<'a, 'tcx> {
         &mut self,
         goal: Goal<'tcx, ty::GenericArg<'tcx>>,
     ) -> QueryResult<'tcx> {
-        self.infcx.probe(|_| {
-            match crate::traits::wf::unnormalized_obligations(
-                self.infcx,
-                goal.param_env,
-                goal.predicate,
-            ) {
-                Some(obligations) => self.evaluate_all_and_make_canonical_response(
-                    obligations.into_iter().map(|o| o.into()).collect(),
-                ),
-                None => self.make_canonical_response(Certainty::AMBIGUOUS),
-            }
-        })
+        match crate::traits::wf::unnormalized_obligations(
+            self.infcx,
+            goal.param_env,
+            goal.predicate,
+        ) {
+            Some(obligations) => self.evaluate_all_and_make_canonical_response(
+                obligations.into_iter().map(|o| o.into()).collect(),
+            ),
+            None => self.make_canonical_response(Certainty::AMBIGUOUS),
+        }
     }
 }
 
 impl<'tcx> EvalCtxt<'_, 'tcx> {
+    // Recursively evaluates a list of goals to completion, returning the certainty
+    // of all of the goals.
     fn evaluate_all(
         &mut self,
         mut goals: Vec<Goal<'tcx, ty::Predicate<'tcx>>>,
@@ -430,6 +428,10 @@ impl<'tcx> EvalCtxt<'_, 'tcx> {
         })
     }
 
+    // Recursively evaluates a list of goals to completion, making a query response.
+    //
+    // This is just a convenient way of calling [`EvalCtxt::evaluate_all`],
+    // then [`EvalCtxt::make_canonical_response`].
     fn evaluate_all_and_make_canonical_response(
         &mut self,
         goals: Vec<Goal<'tcx, ty::Predicate<'tcx>>>,
diff --git a/compiler/rustc_trait_selection/src/solve/project_goals.rs b/compiler/rustc_trait_selection/src/solve/project_goals.rs
index b583705ac4369..9da464f283ef3 100644
--- a/compiler/rustc_trait_selection/src/solve/project_goals.rs
+++ b/compiler/rustc_trait_selection/src/solve/project_goals.rs
@@ -296,7 +296,9 @@ impl<'tcx> assembly::GoalKind<'tcx> for ProjectionPredicate<'tcx> {
         goal: Goal<'tcx, Self>,
         assumption: ty::Predicate<'tcx>,
     ) -> QueryResult<'tcx> {
-        if let Some(poly_projection_pred) = assumption.to_opt_poly_projection_pred() {
+        if let Some(poly_projection_pred) = assumption.to_opt_poly_projection_pred()
+            && poly_projection_pred.projection_def_id() == goal.predicate.def_id()
+        {
             ecx.infcx.probe(|_| {
                 let assumption_projection_pred =
                     ecx.infcx.instantiate_bound_vars_with_infer(poly_projection_pred);
diff --git a/compiler/rustc_trait_selection/src/solve/trait_goals.rs b/compiler/rustc_trait_selection/src/solve/trait_goals.rs
index d74857dc4b480..45b6a5f4ec578 100644
--- a/compiler/rustc_trait_selection/src/solve/trait_goals.rs
+++ b/compiler/rustc_trait_selection/src/solve/trait_goals.rs
@@ -65,7 +65,9 @@ impl<'tcx> assembly::GoalKind<'tcx> for TraitPredicate<'tcx> {
         goal: Goal<'tcx, Self>,
         assumption: ty::Predicate<'tcx>,
     ) -> QueryResult<'tcx> {
-        if let Some(poly_trait_pred) = assumption.to_opt_poly_trait_pred() {
+        if let Some(poly_trait_pred) = assumption.to_opt_poly_trait_pred()
+            && poly_trait_pred.def_id() == goal.predicate.def_id()
+        {
             // FIXME: Constness and polarity
             ecx.infcx.probe(|_| {
                 let assumption_trait_pred =