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-rw-r--r--compiler/rustc_trait_selection/src/traits/fulfill.rs3
-rw-r--r--compiler/rustc_trait_selection/src/traits/mod.rs6
-rw-r--r--compiler/rustc_trait_selection/src/traits/normalize.rs423
-rw-r--r--compiler/rustc_trait_selection/src/traits/project.rs765
-rw-r--r--compiler/rustc_trait_selection/src/traits/query/normalize.rs5
-rw-r--r--compiler/rustc_trait_selection/src/traits/select/confirmation.rs2
-rw-r--r--compiler/rustc_trait_selection/src/traits/select/mod.rs11
-rw-r--r--compiler/rustc_trait_selection/src/traits/util.rs338
-rw-r--r--compiler/rustc_trait_selection/src/traits/wf.rs2
9 files changed, 785 insertions, 770 deletions
diff --git a/compiler/rustc_trait_selection/src/traits/fulfill.rs b/compiler/rustc_trait_selection/src/traits/fulfill.rs
index 0fd0fc001e7..fd981130af8 100644
--- a/compiler/rustc_trait_selection/src/traits/fulfill.rs
+++ b/compiler/rustc_trait_selection/src/traits/fulfill.rs
@@ -1,5 +1,6 @@
 use crate::infer::{InferCtxt, TyOrConstInferVar};
 use crate::traits::error_reporting::TypeErrCtxtExt;
+use crate::traits::normalize::normalize_with_depth_to;
 use rustc_data_structures::captures::Captures;
 use rustc_data_structures::obligation_forest::ProcessResult;
 use rustc_data_structures::obligation_forest::{Error, ForestObligation, Outcome};
@@ -312,7 +313,7 @@ impl<'a, 'tcx> ObligationProcessor for FulfillProcessor<'a, 'tcx> {
 
         if obligation.predicate.has_projections() {
             let mut obligations = Vec::new();
-            let predicate = crate::traits::project::normalize_with_depth_to(
+            let predicate = normalize_with_depth_to(
                 &mut self.selcx,
                 obligation.param_env,
                 obligation.cause.clone(),
diff --git a/compiler/rustc_trait_selection/src/traits/mod.rs b/compiler/rustc_trait_selection/src/traits/mod.rs
index bd993d308ac..9eec60ea06c 100644
--- a/compiler/rustc_trait_selection/src/traits/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/mod.rs
@@ -9,6 +9,7 @@ mod engine;
 pub mod error_reporting;
 mod fulfill;
 pub mod misc;
+pub mod normalize;
 mod object_safety;
 pub mod outlives_bounds;
 pub mod project;
@@ -40,17 +41,15 @@ use rustc_span::Span;
 use std::fmt::Debug;
 use std::ops::ControlFlow;
 
-pub(crate) use self::project::{needs_normalization, BoundVarReplacer, PlaceholderReplacer};
-
 pub use self::coherence::{add_placeholder_note, orphan_check, overlapping_impls};
 pub use self::coherence::{OrphanCheckErr, OverlapResult};
 pub use self::engine::{ObligationCtxt, TraitEngineExt};
 pub use self::fulfill::{FulfillmentContext, PendingPredicateObligation};
+pub use self::normalize::NormalizeExt;
 pub use self::object_safety::astconv_object_safety_violations;
 pub use self::object_safety::is_vtable_safe_method;
 pub use self::object_safety::object_safety_violations_for_assoc_item;
 pub use self::object_safety::ObjectSafetyViolation;
-pub use self::project::NormalizeExt;
 pub use self::project::{normalize_inherent_projection, normalize_projection_type};
 pub use self::select::{EvaluationCache, SelectionCache, SelectionContext};
 pub use self::select::{EvaluationResult, IntercrateAmbiguityCause, OverflowError};
@@ -68,6 +67,7 @@ pub use self::util::{
 };
 pub use self::util::{expand_trait_aliases, TraitAliasExpander};
 pub use self::util::{get_vtable_index_of_object_method, impl_item_is_final, upcast_choices};
+pub use self::util::{with_replaced_escaping_bound_vars, BoundVarReplacer, PlaceholderReplacer};
 
 pub use rustc_infer::traits::*;
 
diff --git a/compiler/rustc_trait_selection/src/traits/normalize.rs b/compiler/rustc_trait_selection/src/traits/normalize.rs
new file mode 100644
index 00000000000..0df6f36f115
--- /dev/null
+++ b/compiler/rustc_trait_selection/src/traits/normalize.rs
@@ -0,0 +1,423 @@
+//! Deeply normalize types using the old trait solver.
+use rustc_data_structures::stack::ensure_sufficient_stack;
+use rustc_infer::infer::at::At;
+use rustc_infer::infer::InferOk;
+use rustc_infer::traits::PredicateObligation;
+use rustc_infer::traits::{FulfillmentError, Normalized, Obligation, TraitEngine};
+use rustc_middle::traits::{ObligationCause, ObligationCauseCode, Reveal};
+use rustc_middle::ty::{self, Ty, TyCtxt, TypeFolder};
+use rustc_middle::ty::{TypeFoldable, TypeSuperFoldable, TypeVisitable, TypeVisitableExt};
+
+use super::error_reporting::TypeErrCtxtExt;
+use super::SelectionContext;
+use super::{project, with_replaced_escaping_bound_vars, BoundVarReplacer, PlaceholderReplacer};
+
+#[extension(pub trait NormalizeExt<'tcx>)]
+impl<'tcx> At<'_, 'tcx> {
+    /// Normalize a value using the `AssocTypeNormalizer`.
+    ///
+    /// This normalization should be used when the type contains inference variables or the
+    /// projection may be fallible.
+    fn normalize<T: TypeFoldable<TyCtxt<'tcx>>>(&self, value: T) -> InferOk<'tcx, T> {
+        if self.infcx.next_trait_solver() {
+            InferOk { value, obligations: Vec::new() }
+        } else {
+            let mut selcx = SelectionContext::new(self.infcx);
+            let Normalized { value, obligations } =
+                normalize_with_depth(&mut selcx, self.param_env, self.cause.clone(), 0, value);
+            InferOk { value, obligations }
+        }
+    }
+
+    /// Deeply normalizes `value`, replacing all aliases which can by normalized in
+    /// the current environment. In the new solver this errors in case normalization
+    /// fails or is ambiguous. This only normalizes opaque types with `Reveal::All`.
+    ///
+    /// In the old solver this simply uses `normalizes` and adds the nested obligations
+    /// to the `fulfill_cx`. This is necessary as we otherwise end up recomputing the
+    /// same goals in both a temporary and the shared context which negatively impacts
+    /// performance as these don't share caching.
+    ///
+    /// FIXME(-Znext-solver): This has the same behavior as `traits::fully_normalize`
+    /// in the new solver, but because of performance reasons, we currently reuse an
+    /// existing fulfillment context in the old solver. Once we also eagerly prove goals with
+    /// the old solver or have removed the old solver, remove `traits::fully_normalize` and
+    /// rename this function to `At::fully_normalize`.
+    fn deeply_normalize<T: TypeFoldable<TyCtxt<'tcx>>>(
+        self,
+        value: T,
+        fulfill_cx: &mut dyn TraitEngine<'tcx>,
+    ) -> Result<T, Vec<FulfillmentError<'tcx>>> {
+        if self.infcx.next_trait_solver() {
+            crate::solve::deeply_normalize(self, value)
+        } else {
+            let value = self
+                .normalize(value)
+                .into_value_registering_obligations(self.infcx, &mut *fulfill_cx);
+            let errors = fulfill_cx.select_where_possible(self.infcx);
+            let value = self.infcx.resolve_vars_if_possible(value);
+            if errors.is_empty() { Ok(value) } else { Err(errors) }
+        }
+    }
+}
+
+/// As `normalize`, but with a custom depth.
+pub(crate) fn normalize_with_depth<'a, 'b, 'tcx, T>(
+    selcx: &'a mut SelectionContext<'b, 'tcx>,
+    param_env: ty::ParamEnv<'tcx>,
+    cause: ObligationCause<'tcx>,
+    depth: usize,
+    value: T,
+) -> Normalized<'tcx, T>
+where
+    T: TypeFoldable<TyCtxt<'tcx>>,
+{
+    let mut obligations = Vec::new();
+    let value = normalize_with_depth_to(selcx, param_env, cause, depth, value, &mut obligations);
+    Normalized { value, obligations }
+}
+
+#[instrument(level = "info", skip(selcx, param_env, cause, obligations))]
+pub(crate) fn normalize_with_depth_to<'a, 'b, 'tcx, T>(
+    selcx: &'a mut SelectionContext<'b, 'tcx>,
+    param_env: ty::ParamEnv<'tcx>,
+    cause: ObligationCause<'tcx>,
+    depth: usize,
+    value: T,
+    obligations: &mut Vec<PredicateObligation<'tcx>>,
+) -> T
+where
+    T: TypeFoldable<TyCtxt<'tcx>>,
+{
+    debug!(obligations.len = obligations.len());
+    let mut normalizer = AssocTypeNormalizer::new(selcx, param_env, cause, depth, obligations);
+    let result = ensure_sufficient_stack(|| normalizer.fold(value));
+    debug!(?result, obligations.len = normalizer.obligations.len());
+    debug!(?normalizer.obligations,);
+    result
+}
+
+pub(super) fn needs_normalization<'tcx, T: TypeVisitable<TyCtxt<'tcx>>>(
+    value: &T,
+    reveal: Reveal,
+) -> bool {
+    match reveal {
+        Reveal::UserFacing => value.has_type_flags(
+            ty::TypeFlags::HAS_TY_PROJECTION
+                | ty::TypeFlags::HAS_TY_INHERENT
+                | ty::TypeFlags::HAS_CT_PROJECTION,
+        ),
+        Reveal::All => value.has_type_flags(
+            ty::TypeFlags::HAS_TY_PROJECTION
+                | ty::TypeFlags::HAS_TY_INHERENT
+                | ty::TypeFlags::HAS_TY_OPAQUE
+                | ty::TypeFlags::HAS_CT_PROJECTION,
+        ),
+    }
+}
+
+struct AssocTypeNormalizer<'a, 'b, 'tcx> {
+    selcx: &'a mut SelectionContext<'b, 'tcx>,
+    param_env: ty::ParamEnv<'tcx>,
+    cause: ObligationCause<'tcx>,
+    obligations: &'a mut Vec<PredicateObligation<'tcx>>,
+    depth: usize,
+    universes: Vec<Option<ty::UniverseIndex>>,
+}
+
+impl<'a, 'b, 'tcx> AssocTypeNormalizer<'a, 'b, 'tcx> {
+    fn new(
+        selcx: &'a mut SelectionContext<'b, 'tcx>,
+        param_env: ty::ParamEnv<'tcx>,
+        cause: ObligationCause<'tcx>,
+        depth: usize,
+        obligations: &'a mut Vec<PredicateObligation<'tcx>>,
+    ) -> AssocTypeNormalizer<'a, 'b, 'tcx> {
+        debug_assert!(!selcx.infcx.next_trait_solver());
+        AssocTypeNormalizer { selcx, param_env, cause, obligations, depth, universes: vec![] }
+    }
+
+    fn fold<T: TypeFoldable<TyCtxt<'tcx>>>(&mut self, value: T) -> T {
+        let value = self.selcx.infcx.resolve_vars_if_possible(value);
+        debug!(?value);
+
+        assert!(
+            !value.has_escaping_bound_vars(),
+            "Normalizing {value:?} without wrapping in a `Binder`"
+        );
+
+        if !needs_normalization(&value, self.param_env.reveal()) {
+            value
+        } else {
+            value.fold_with(self)
+        }
+    }
+}
+
+impl<'a, 'b, 'tcx> TypeFolder<TyCtxt<'tcx>> for AssocTypeNormalizer<'a, 'b, 'tcx> {
+    fn interner(&self) -> TyCtxt<'tcx> {
+        self.selcx.tcx()
+    }
+
+    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
+        &mut self,
+        t: ty::Binder<'tcx, T>,
+    ) -> ty::Binder<'tcx, T> {
+        self.universes.push(None);
+        let t = t.super_fold_with(self);
+        self.universes.pop();
+        t
+    }
+
+    fn fold_ty(&mut self, ty: Ty<'tcx>) -> Ty<'tcx> {
+        if !needs_normalization(&ty, self.param_env.reveal()) {
+            return ty;
+        }
+
+        let (kind, data) = match *ty.kind() {
+            ty::Alias(kind, alias_ty) => (kind, alias_ty),
+            _ => return ty.super_fold_with(self),
+        };
+
+        // We try to be a little clever here as a performance optimization in
+        // cases where there are nested projections under binders.
+        // For example:
+        // ```
+        // for<'a> fn(<T as Foo>::One<'a, Box<dyn Bar<'a, Item=<T as Foo>::Two<'a>>>>)
+        // ```
+        // We normalize the args on the projection before the projecting, but
+        // if we're naive, we'll
+        //   replace bound vars on inner, project inner, replace placeholders on inner,
+        //   replace bound vars on outer, project outer, replace placeholders on outer
+        //
+        // However, if we're a bit more clever, we can replace the bound vars
+        // on the entire type before normalizing nested projections, meaning we
+        //   replace bound vars on outer, project inner,
+        //   project outer, replace placeholders on outer
+        //
+        // This is possible because the inner `'a` will already be a placeholder
+        // when we need to normalize the inner projection
+        //
+        // On the other hand, this does add a bit of complexity, since we only
+        // replace bound vars if the current type is a `Projection` and we need
+        // to make sure we don't forget to fold the args regardless.
+
+        match kind {
+            ty::Opaque => {
+                // Only normalize `impl Trait` outside of type inference, usually in codegen.
+                match self.param_env.reveal() {
+                    Reveal::UserFacing => ty.super_fold_with(self),
+
+                    Reveal::All => {
+                        let recursion_limit = self.interner().recursion_limit();
+                        if !recursion_limit.value_within_limit(self.depth) {
+                            self.selcx.infcx.err_ctxt().report_overflow_error(
+                                &ty,
+                                self.cause.span,
+                                true,
+                                |_| {},
+                            );
+                        }
+
+                        let args = data.args.fold_with(self);
+                        let generic_ty = self.interner().type_of(data.def_id);
+                        let concrete_ty = generic_ty.instantiate(self.interner(), args);
+                        self.depth += 1;
+                        let folded_ty = self.fold_ty(concrete_ty);
+                        self.depth -= 1;
+                        folded_ty
+                    }
+                }
+            }
+
+            ty::Projection if !data.has_escaping_bound_vars() => {
+                // This branch is *mostly* just an optimization: when we don't
+                // have escaping bound vars, we don't need to replace them with
+                // placeholders (see branch below). *Also*, we know that we can
+                // register an obligation to *later* project, since we know
+                // there won't be bound vars there.
+                let data = data.fold_with(self);
+                let normalized_ty = project::normalize_projection_type(
+                    self.selcx,
+                    self.param_env,
+                    data,
+                    self.cause.clone(),
+                    self.depth,
+                    self.obligations,
+                );
+                debug!(
+                    ?self.depth,
+                    ?ty,
+                    ?normalized_ty,
+                    obligations.len = ?self.obligations.len(),
+                    "AssocTypeNormalizer: normalized type"
+                );
+                normalized_ty.ty().unwrap()
+            }
+
+            ty::Projection => {
+                // If there are escaping bound vars, we temporarily replace the
+                // bound vars with placeholders. Note though, that in the case
+                // that we still can't project for whatever reason (e.g. self
+                // type isn't known enough), we *can't* register an obligation
+                // and return an inference variable (since then that obligation
+                // would have bound vars and that's a can of worms). Instead,
+                // we just give up and fall back to pretending like we never tried!
+                //
+                // Note: this isn't necessarily the final approach here; we may
+                // want to figure out how to register obligations with escaping vars
+                // or handle this some other way.
+
+                let infcx = self.selcx.infcx;
+                let (data, mapped_regions, mapped_types, mapped_consts) =
+                    BoundVarReplacer::replace_bound_vars(infcx, &mut self.universes, data);
+                let data = data.fold_with(self);
+                let normalized_ty = project::opt_normalize_projection_type(
+                    self.selcx,
+                    self.param_env,
+                    data,
+                    self.cause.clone(),
+                    self.depth,
+                    self.obligations,
+                )
+                .ok()
+                .flatten()
+                .map(|term| term.ty().unwrap())
+                .map(|normalized_ty| {
+                    PlaceholderReplacer::replace_placeholders(
+                        infcx,
+                        mapped_regions,
+                        mapped_types,
+                        mapped_consts,
+                        &self.universes,
+                        normalized_ty,
+                    )
+                })
+                .unwrap_or_else(|| ty.super_fold_with(self));
+
+                debug!(
+                    ?self.depth,
+                    ?ty,
+                    ?normalized_ty,
+                    obligations.len = ?self.obligations.len(),
+                    "AssocTypeNormalizer: normalized type"
+                );
+                normalized_ty
+            }
+            ty::Weak => {
+                let recursion_limit = self.interner().recursion_limit();
+                if !recursion_limit.value_within_limit(self.depth) {
+                    self.selcx.infcx.err_ctxt().report_overflow_error(
+                        &ty,
+                        self.cause.span,
+                        false,
+                        |diag| {
+                            diag.note(crate::fluent_generated::trait_selection_ty_alias_overflow);
+                        },
+                    );
+                }
+
+                let infcx = self.selcx.infcx;
+                self.obligations.extend(
+                    infcx.tcx.predicates_of(data.def_id).instantiate_own(infcx.tcx, data.args).map(
+                        |(mut predicate, span)| {
+                            if data.has_escaping_bound_vars() {
+                                (predicate, ..) = BoundVarReplacer::replace_bound_vars(
+                                    infcx,
+                                    &mut self.universes,
+                                    predicate,
+                                );
+                            }
+                            let mut cause = self.cause.clone();
+                            cause.map_code(|code| {
+                                ObligationCauseCode::TypeAlias(code, span, data.def_id)
+                            });
+                            Obligation::new(infcx.tcx, cause, self.param_env, predicate)
+                        },
+                    ),
+                );
+                self.depth += 1;
+                let res = infcx
+                    .tcx
+                    .type_of(data.def_id)
+                    .instantiate(infcx.tcx, data.args)
+                    .fold_with(self);
+                self.depth -= 1;
+                res
+            }
+
+            ty::Inherent if !data.has_escaping_bound_vars() => {
+                // This branch is *mostly* just an optimization: when we don't
+                // have escaping bound vars, we don't need to replace them with
+                // placeholders (see branch below). *Also*, we know that we can
+                // register an obligation to *later* project, since we know
+                // there won't be bound vars there.
+
+                let data = data.fold_with(self);
+
+                // FIXME(inherent_associated_types): Do we need to honor `self.eager_inference_replacement`
+                // here like `ty::Projection`?
+                project::normalize_inherent_projection(
+                    self.selcx,
+                    self.param_env,
+                    data,
+                    self.cause.clone(),
+                    self.depth,
+                    self.obligations,
+                )
+            }
+
+            ty::Inherent => {
+                let infcx = self.selcx.infcx;
+                let (data, mapped_regions, mapped_types, mapped_consts) =
+                    BoundVarReplacer::replace_bound_vars(infcx, &mut self.universes, data);
+                let data = data.fold_with(self);
+                let ty = project::normalize_inherent_projection(
+                    self.selcx,
+                    self.param_env,
+                    data,
+                    self.cause.clone(),
+                    self.depth,
+                    self.obligations,
+                );
+
+                PlaceholderReplacer::replace_placeholders(
+                    infcx,
+                    mapped_regions,
+                    mapped_types,
+                    mapped_consts,
+                    &self.universes,
+                    ty,
+                )
+            }
+        }
+    }
+
+    #[instrument(skip(self), level = "debug")]
+    fn fold_const(&mut self, constant: ty::Const<'tcx>) -> ty::Const<'tcx> {
+        let tcx = self.selcx.tcx();
+        if tcx.features().generic_const_exprs
+            || !needs_normalization(&constant, self.param_env.reveal())
+        {
+            constant
+        } else {
+            let constant = constant.super_fold_with(self);
+            debug!(?constant, ?self.param_env);
+            with_replaced_escaping_bound_vars(
+                self.selcx.infcx,
+                &mut self.universes,
+                constant,
+                |constant| constant.normalize(tcx, self.param_env),
+            )
+        }
+    }
+
+    #[inline]
+    fn fold_predicate(&mut self, p: ty::Predicate<'tcx>) -> ty::Predicate<'tcx> {
+        if p.allow_normalization() && needs_normalization(&p, self.param_env.reveal()) {
+            p.super_fold_with(self)
+        } else {
+            p
+        }
+    }
+}
diff --git a/compiler/rustc_trait_selection/src/traits/project.rs b/compiler/rustc_trait_selection/src/traits/project.rs
index 908886a5b42..9c532ea4d8d 100644
--- a/compiler/rustc_trait_selection/src/traits/project.rs
+++ b/compiler/rustc_trait_selection/src/traits/project.rs
@@ -1,5 +1,7 @@
 //! Code for projecting associated types out of trait references.
 
+use std::ops::ControlFlow;
+
 use super::check_args_compatible;
 use super::specialization_graph;
 use super::translate_args;
@@ -18,8 +20,9 @@ use rustc_middle::traits::ImplSourceUserDefinedData;
 
 use crate::errors::InherentProjectionNormalizationOverflow;
 use crate::infer::type_variable::{TypeVariableOrigin, TypeVariableOriginKind};
-use crate::infer::{BoundRegionConversionTime, InferCtxt, InferOk};
-use crate::traits::error_reporting::TypeErrCtxtExt as _;
+use crate::infer::{BoundRegionConversionTime, InferOk};
+use crate::traits::normalize::normalize_with_depth;
+use crate::traits::normalize::normalize_with_depth_to;
 use crate::traits::query::evaluate_obligation::InferCtxtExt as _;
 use crate::traits::select::ProjectionMatchesProjection;
 use rustc_data_structures::sso::SsoHashSet;
@@ -27,21 +30,14 @@ use rustc_data_structures::stack::ensure_sufficient_stack;
 use rustc_errors::ErrorGuaranteed;
 use rustc_hir::def::DefKind;
 use rustc_hir::lang_items::LangItem;
-use rustc_infer::infer::at::At;
 use rustc_infer::infer::resolve::OpportunisticRegionResolver;
 use rustc_infer::infer::DefineOpaqueTypes;
-use rustc_infer::traits::FulfillmentError;
-use rustc_infer::traits::ObligationCauseCode;
-use rustc_infer::traits::TraitEngine;
 use rustc_middle::traits::select::OverflowError;
-use rustc_middle::ty::fold::{TypeFoldable, TypeFolder, TypeSuperFoldable};
+use rustc_middle::ty::fold::TypeFoldable;
 use rustc_middle::ty::visit::{MaxUniverse, TypeVisitable, TypeVisitableExt};
 use rustc_middle::ty::{self, Term, ToPredicate, Ty, TyCtxt};
 use rustc_span::symbol::sym;
 
-use std::collections::BTreeMap;
-use std::ops::ControlFlow;
-
 pub use rustc_middle::traits::Reveal;
 
 pub type PolyProjectionObligation<'tcx> = Obligation<'tcx, ty::PolyProjectionPredicate<'tcx>>;
@@ -52,55 +48,6 @@ pub type ProjectionTyObligation<'tcx> = Obligation<'tcx, ty::AliasTy<'tcx>>;
 
 pub(super) struct InProgress;
 
-#[extension(pub trait NormalizeExt<'tcx>)]
-impl<'tcx> At<'_, 'tcx> {
-    /// Normalize a value using the `AssocTypeNormalizer`.
-    ///
-    /// This normalization should be used when the type contains inference variables or the
-    /// projection may be fallible.
-    fn normalize<T: TypeFoldable<TyCtxt<'tcx>>>(&self, value: T) -> InferOk<'tcx, T> {
-        if self.infcx.next_trait_solver() {
-            InferOk { value, obligations: Vec::new() }
-        } else {
-            let mut selcx = SelectionContext::new(self.infcx);
-            let Normalized { value, obligations } =
-                normalize_with_depth(&mut selcx, self.param_env, self.cause.clone(), 0, value);
-            InferOk { value, obligations }
-        }
-    }
-
-    /// Deeply normalizes `value`, replacing all aliases which can by normalized in
-    /// the current environment. In the new solver this errors in case normalization
-    /// fails or is ambiguous. This only normalizes opaque types with `Reveal::All`.
-    ///
-    /// In the old solver this simply uses `normalizes` and adds the nested obligations
-    /// to the `fulfill_cx`. This is necessary as we otherwise end up recomputing the
-    /// same goals in both a temporary and the shared context which negatively impacts
-    /// performance as these don't share caching.
-    ///
-    /// FIXME(-Znext-solver): This has the same behavior as `traits::fully_normalize`
-    /// in the new solver, but because of performance reasons, we currently reuse an
-    /// existing fulfillment context in the old solver. Once we also eagerly prove goals with
-    /// the old solver or have removed the old solver, remove `traits::fully_normalize` and
-    /// rename this function to `At::fully_normalize`.
-    fn deeply_normalize<T: TypeFoldable<TyCtxt<'tcx>>>(
-        self,
-        value: T,
-        fulfill_cx: &mut dyn TraitEngine<'tcx>,
-    ) -> Result<T, Vec<FulfillmentError<'tcx>>> {
-        if self.infcx.next_trait_solver() {
-            crate::solve::deeply_normalize(self, value)
-        } else {
-            let value = self
-                .normalize(value)
-                .into_value_registering_obligations(self.infcx, &mut *fulfill_cx);
-            let errors = fulfill_cx.select_where_possible(self.infcx);
-            let value = self.infcx.resolve_vars_if_possible(value);
-            if errors.is_empty() { Ok(value) } else { Err(errors) }
-        }
-    }
-}
-
 /// When attempting to resolve `<T as TraitRef>::Name` ...
 #[derive(Debug)]
 pub enum ProjectionError<'tcx> {
@@ -338,700 +285,6 @@ fn project_and_unify_type<'cx, 'tcx>(
     }
 }
 
-/// As `normalize`, but with a custom depth.
-pub(crate) fn normalize_with_depth<'a, 'b, 'tcx, T>(
-    selcx: &'a mut SelectionContext<'b, 'tcx>,
-    param_env: ty::ParamEnv<'tcx>,
-    cause: ObligationCause<'tcx>,
-    depth: usize,
-    value: T,
-) -> Normalized<'tcx, T>
-where
-    T: TypeFoldable<TyCtxt<'tcx>>,
-{
-    let mut obligations = Vec::new();
-    let value = normalize_with_depth_to(selcx, param_env, cause, depth, value, &mut obligations);
-    Normalized { value, obligations }
-}
-
-#[instrument(level = "info", skip(selcx, param_env, cause, obligations))]
-pub(crate) fn normalize_with_depth_to<'a, 'b, 'tcx, T>(
-    selcx: &'a mut SelectionContext<'b, 'tcx>,
-    param_env: ty::ParamEnv<'tcx>,
-    cause: ObligationCause<'tcx>,
-    depth: usize,
-    value: T,
-    obligations: &mut Vec<PredicateObligation<'tcx>>,
-) -> T
-where
-    T: TypeFoldable<TyCtxt<'tcx>>,
-{
-    debug!(obligations.len = obligations.len());
-    let mut normalizer = AssocTypeNormalizer::new(selcx, param_env, cause, depth, obligations);
-    let result = ensure_sufficient_stack(|| normalizer.fold(value));
-    debug!(?result, obligations.len = normalizer.obligations.len());
-    debug!(?normalizer.obligations,);
-    result
-}
-
-pub(crate) fn needs_normalization<'tcx, T: TypeVisitable<TyCtxt<'tcx>>>(
-    value: &T,
-    reveal: Reveal,
-) -> bool {
-    match reveal {
-        Reveal::UserFacing => value.has_type_flags(
-            ty::TypeFlags::HAS_TY_PROJECTION
-                | ty::TypeFlags::HAS_TY_INHERENT
-                | ty::TypeFlags::HAS_CT_PROJECTION,
-        ),
-        Reveal::All => value.has_type_flags(
-            ty::TypeFlags::HAS_TY_PROJECTION
-                | ty::TypeFlags::HAS_TY_INHERENT
-                | ty::TypeFlags::HAS_TY_OPAQUE
-                | ty::TypeFlags::HAS_CT_PROJECTION,
-        ),
-    }
-}
-
-struct AssocTypeNormalizer<'a, 'b, 'tcx> {
-    selcx: &'a mut SelectionContext<'b, 'tcx>,
-    param_env: ty::ParamEnv<'tcx>,
-    cause: ObligationCause<'tcx>,
-    obligations: &'a mut Vec<PredicateObligation<'tcx>>,
-    depth: usize,
-    universes: Vec<Option<ty::UniverseIndex>>,
-}
-
-impl<'a, 'b, 'tcx> AssocTypeNormalizer<'a, 'b, 'tcx> {
-    fn new(
-        selcx: &'a mut SelectionContext<'b, 'tcx>,
-        param_env: ty::ParamEnv<'tcx>,
-        cause: ObligationCause<'tcx>,
-        depth: usize,
-        obligations: &'a mut Vec<PredicateObligation<'tcx>>,
-    ) -> AssocTypeNormalizer<'a, 'b, 'tcx> {
-        debug_assert!(!selcx.infcx.next_trait_solver());
-        AssocTypeNormalizer { selcx, param_env, cause, obligations, depth, universes: vec![] }
-    }
-
-    fn fold<T: TypeFoldable<TyCtxt<'tcx>>>(&mut self, value: T) -> T {
-        let value = self.selcx.infcx.resolve_vars_if_possible(value);
-        debug!(?value);
-
-        assert!(
-            !value.has_escaping_bound_vars(),
-            "Normalizing {value:?} without wrapping in a `Binder`"
-        );
-
-        if !needs_normalization(&value, self.param_env.reveal()) {
-            value
-        } else {
-            value.fold_with(self)
-        }
-    }
-}
-
-impl<'a, 'b, 'tcx> TypeFolder<TyCtxt<'tcx>> for AssocTypeNormalizer<'a, 'b, 'tcx> {
-    fn interner(&self) -> TyCtxt<'tcx> {
-        self.selcx.tcx()
-    }
-
-    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
-        &mut self,
-        t: ty::Binder<'tcx, T>,
-    ) -> ty::Binder<'tcx, T> {
-        self.universes.push(None);
-        let t = t.super_fold_with(self);
-        self.universes.pop();
-        t
-    }
-
-    fn fold_ty(&mut self, ty: Ty<'tcx>) -> Ty<'tcx> {
-        if !needs_normalization(&ty, self.param_env.reveal()) {
-            return ty;
-        }
-
-        let (kind, data) = match *ty.kind() {
-            ty::Alias(kind, alias_ty) => (kind, alias_ty),
-            _ => return ty.super_fold_with(self),
-        };
-
-        // We try to be a little clever here as a performance optimization in
-        // cases where there are nested projections under binders.
-        // For example:
-        // ```
-        // for<'a> fn(<T as Foo>::One<'a, Box<dyn Bar<'a, Item=<T as Foo>::Two<'a>>>>)
-        // ```
-        // We normalize the args on the projection before the projecting, but
-        // if we're naive, we'll
-        //   replace bound vars on inner, project inner, replace placeholders on inner,
-        //   replace bound vars on outer, project outer, replace placeholders on outer
-        //
-        // However, if we're a bit more clever, we can replace the bound vars
-        // on the entire type before normalizing nested projections, meaning we
-        //   replace bound vars on outer, project inner,
-        //   project outer, replace placeholders on outer
-        //
-        // This is possible because the inner `'a` will already be a placeholder
-        // when we need to normalize the inner projection
-        //
-        // On the other hand, this does add a bit of complexity, since we only
-        // replace bound vars if the current type is a `Projection` and we need
-        // to make sure we don't forget to fold the args regardless.
-
-        match kind {
-            ty::Opaque => {
-                // Only normalize `impl Trait` outside of type inference, usually in codegen.
-                match self.param_env.reveal() {
-                    Reveal::UserFacing => ty.super_fold_with(self),
-
-                    Reveal::All => {
-                        let recursion_limit = self.interner().recursion_limit();
-                        if !recursion_limit.value_within_limit(self.depth) {
-                            self.selcx.infcx.err_ctxt().report_overflow_error(
-                                &ty,
-                                self.cause.span,
-                                true,
-                                |_| {},
-                            );
-                        }
-
-                        let args = data.args.fold_with(self);
-                        let generic_ty = self.interner().type_of(data.def_id);
-                        let concrete_ty = generic_ty.instantiate(self.interner(), args);
-                        self.depth += 1;
-                        let folded_ty = self.fold_ty(concrete_ty);
-                        self.depth -= 1;
-                        folded_ty
-                    }
-                }
-            }
-
-            ty::Projection if !data.has_escaping_bound_vars() => {
-                // This branch is *mostly* just an optimization: when we don't
-                // have escaping bound vars, we don't need to replace them with
-                // placeholders (see branch below). *Also*, we know that we can
-                // register an obligation to *later* project, since we know
-                // there won't be bound vars there.
-                let data = data.fold_with(self);
-                let normalized_ty = normalize_projection_type(
-                    self.selcx,
-                    self.param_env,
-                    data,
-                    self.cause.clone(),
-                    self.depth,
-                    self.obligations,
-                );
-                debug!(
-                    ?self.depth,
-                    ?ty,
-                    ?normalized_ty,
-                    obligations.len = ?self.obligations.len(),
-                    "AssocTypeNormalizer: normalized type"
-                );
-                normalized_ty.ty().unwrap()
-            }
-
-            ty::Projection => {
-                // If there are escaping bound vars, we temporarily replace the
-                // bound vars with placeholders. Note though, that in the case
-                // that we still can't project for whatever reason (e.g. self
-                // type isn't known enough), we *can't* register an obligation
-                // and return an inference variable (since then that obligation
-                // would have bound vars and that's a can of worms). Instead,
-                // we just give up and fall back to pretending like we never tried!
-                //
-                // Note: this isn't necessarily the final approach here; we may
-                // want to figure out how to register obligations with escaping vars
-                // or handle this some other way.
-
-                let infcx = self.selcx.infcx;
-                let (data, mapped_regions, mapped_types, mapped_consts) =
-                    BoundVarReplacer::replace_bound_vars(infcx, &mut self.universes, data);
-                let data = data.fold_with(self);
-                let normalized_ty = opt_normalize_projection_type(
-                    self.selcx,
-                    self.param_env,
-                    data,
-                    self.cause.clone(),
-                    self.depth,
-                    self.obligations,
-                )
-                .ok()
-                .flatten()
-                .map(|term| term.ty().unwrap())
-                .map(|normalized_ty| {
-                    PlaceholderReplacer::replace_placeholders(
-                        infcx,
-                        mapped_regions,
-                        mapped_types,
-                        mapped_consts,
-                        &self.universes,
-                        normalized_ty,
-                    )
-                })
-                .unwrap_or_else(|| ty.super_fold_with(self));
-
-                debug!(
-                    ?self.depth,
-                    ?ty,
-                    ?normalized_ty,
-                    obligations.len = ?self.obligations.len(),
-                    "AssocTypeNormalizer: normalized type"
-                );
-                normalized_ty
-            }
-            ty::Weak => {
-                let recursion_limit = self.interner().recursion_limit();
-                if !recursion_limit.value_within_limit(self.depth) {
-                    self.selcx.infcx.err_ctxt().report_overflow_error(
-                        &ty,
-                        self.cause.span,
-                        false,
-                        |diag| {
-                            diag.note(crate::fluent_generated::trait_selection_ty_alias_overflow);
-                        },
-                    );
-                }
-
-                let infcx = self.selcx.infcx;
-                self.obligations.extend(
-                    infcx.tcx.predicates_of(data.def_id).instantiate_own(infcx.tcx, data.args).map(
-                        |(mut predicate, span)| {
-                            if data.has_escaping_bound_vars() {
-                                (predicate, ..) = BoundVarReplacer::replace_bound_vars(
-                                    infcx,
-                                    &mut self.universes,
-                                    predicate,
-                                );
-                            }
-                            let mut cause = self.cause.clone();
-                            cause.map_code(|code| {
-                                ObligationCauseCode::TypeAlias(code, span, data.def_id)
-                            });
-                            Obligation::new(infcx.tcx, cause, self.param_env, predicate)
-                        },
-                    ),
-                );
-                self.depth += 1;
-                let res = infcx
-                    .tcx
-                    .type_of(data.def_id)
-                    .instantiate(infcx.tcx, data.args)
-                    .fold_with(self);
-                self.depth -= 1;
-                res
-            }
-
-            ty::Inherent if !data.has_escaping_bound_vars() => {
-                // This branch is *mostly* just an optimization: when we don't
-                // have escaping bound vars, we don't need to replace them with
-                // placeholders (see branch below). *Also*, we know that we can
-                // register an obligation to *later* project, since we know
-                // there won't be bound vars there.
-
-                let data = data.fold_with(self);
-
-                // FIXME(inherent_associated_types): Do we need to honor `self.eager_inference_replacement`
-                // here like `ty::Projection`?
-                normalize_inherent_projection(
-                    self.selcx,
-                    self.param_env,
-                    data,
-                    self.cause.clone(),
-                    self.depth,
-                    self.obligations,
-                )
-            }
-
-            ty::Inherent => {
-                let infcx = self.selcx.infcx;
-                let (data, mapped_regions, mapped_types, mapped_consts) =
-                    BoundVarReplacer::replace_bound_vars(infcx, &mut self.universes, data);
-                let data = data.fold_with(self);
-                let ty = normalize_inherent_projection(
-                    self.selcx,
-                    self.param_env,
-                    data,
-                    self.cause.clone(),
-                    self.depth,
-                    self.obligations,
-                );
-
-                PlaceholderReplacer::replace_placeholders(
-                    infcx,
-                    mapped_regions,
-                    mapped_types,
-                    mapped_consts,
-                    &self.universes,
-                    ty,
-                )
-            }
-        }
-    }
-
-    #[instrument(skip(self), level = "debug")]
-    fn fold_const(&mut self, constant: ty::Const<'tcx>) -> ty::Const<'tcx> {
-        let tcx = self.selcx.tcx();
-        if tcx.features().generic_const_exprs
-            || !needs_normalization(&constant, self.param_env.reveal())
-        {
-            constant
-        } else {
-            let constant = constant.super_fold_with(self);
-            debug!(?constant, ?self.param_env);
-            with_replaced_escaping_bound_vars(
-                self.selcx.infcx,
-                &mut self.universes,
-                constant,
-                |constant| constant.normalize(tcx, self.param_env),
-            )
-        }
-    }
-
-    #[inline]
-    fn fold_predicate(&mut self, p: ty::Predicate<'tcx>) -> ty::Predicate<'tcx> {
-        if p.allow_normalization() && needs_normalization(&p, self.param_env.reveal()) {
-            p.super_fold_with(self)
-        } else {
-            p
-        }
-    }
-}
-
-pub struct BoundVarReplacer<'me, 'tcx> {
-    infcx: &'me InferCtxt<'tcx>,
-    // These three maps track the bound variable that were replaced by placeholders. It might be
-    // nice to remove these since we already have the `kind` in the placeholder; we really just need
-    // the `var` (but we *could* bring that into scope if we were to track them as we pass them).
-    mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
-    mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
-    mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
-    // The current depth relative to *this* folding, *not* the entire normalization. In other words,
-    // the depth of binders we've passed here.
-    current_index: ty::DebruijnIndex,
-    // The `UniverseIndex` of the binding levels above us. These are optional, since we are lazy:
-    // we don't actually create a universe until we see a bound var we have to replace.
-    universe_indices: &'me mut Vec<Option<ty::UniverseIndex>>,
-}
-
-/// Executes `f` on `value` after replacing all escaping bound variables with placeholders
-/// and then replaces these placeholders with the original bound variables in the result.
-///
-/// In most places, bound variables should be replaced right when entering a binder, making
-/// this function unnecessary. However, normalization currently does not do that, so we have
-/// to do this lazily.
-///
-/// You should not add any additional uses of this function, at least not without first
-/// discussing it with t-types.
-///
-/// FIXME(@lcnr): We may even consider experimenting with eagerly replacing bound vars during
-/// normalization as well, at which point this function will be unnecessary and can be removed.
-pub fn with_replaced_escaping_bound_vars<
-    'a,
-    'tcx,
-    T: TypeFoldable<TyCtxt<'tcx>>,
-    R: TypeFoldable<TyCtxt<'tcx>>,
->(
-    infcx: &'a InferCtxt<'tcx>,
-    universe_indices: &'a mut Vec<Option<ty::UniverseIndex>>,
-    value: T,
-    f: impl FnOnce(T) -> R,
-) -> R {
-    if value.has_escaping_bound_vars() {
-        let (value, mapped_regions, mapped_types, mapped_consts) =
-            BoundVarReplacer::replace_bound_vars(infcx, universe_indices, value);
-        let result = f(value);
-        PlaceholderReplacer::replace_placeholders(
-            infcx,
-            mapped_regions,
-            mapped_types,
-            mapped_consts,
-            universe_indices,
-            result,
-        )
-    } else {
-        f(value)
-    }
-}
-
-impl<'me, 'tcx> BoundVarReplacer<'me, 'tcx> {
-    /// Returns `Some` if we *were* able to replace bound vars. If there are any bound vars that
-    /// use a binding level above `universe_indices.len()`, we fail.
-    pub fn replace_bound_vars<T: TypeFoldable<TyCtxt<'tcx>>>(
-        infcx: &'me InferCtxt<'tcx>,
-        universe_indices: &'me mut Vec<Option<ty::UniverseIndex>>,
-        value: T,
-    ) -> (
-        T,
-        BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
-        BTreeMap<ty::PlaceholderType, ty::BoundTy>,
-        BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
-    ) {
-        let mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion> = BTreeMap::new();
-        let mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy> = BTreeMap::new();
-        let mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar> = BTreeMap::new();
-
-        let mut replacer = BoundVarReplacer {
-            infcx,
-            mapped_regions,
-            mapped_types,
-            mapped_consts,
-            current_index: ty::INNERMOST,
-            universe_indices,
-        };
-
-        let value = value.fold_with(&mut replacer);
-
-        (value, replacer.mapped_regions, replacer.mapped_types, replacer.mapped_consts)
-    }
-
-    fn universe_for(&mut self, debruijn: ty::DebruijnIndex) -> ty::UniverseIndex {
-        let infcx = self.infcx;
-        let index =
-            self.universe_indices.len() + self.current_index.as_usize() - debruijn.as_usize() - 1;
-        let universe = self.universe_indices[index].unwrap_or_else(|| {
-            for i in self.universe_indices.iter_mut().take(index + 1) {
-                *i = i.or_else(|| Some(infcx.create_next_universe()))
-            }
-            self.universe_indices[index].unwrap()
-        });
-        universe
-    }
-}
-
-impl<'tcx> TypeFolder<TyCtxt<'tcx>> for BoundVarReplacer<'_, 'tcx> {
-    fn interner(&self) -> TyCtxt<'tcx> {
-        self.infcx.tcx
-    }
-
-    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
-        &mut self,
-        t: ty::Binder<'tcx, T>,
-    ) -> ty::Binder<'tcx, T> {
-        self.current_index.shift_in(1);
-        let t = t.super_fold_with(self);
-        self.current_index.shift_out(1);
-        t
-    }
-
-    fn fold_region(&mut self, r: ty::Region<'tcx>) -> ty::Region<'tcx> {
-        match *r {
-            ty::ReBound(debruijn, _)
-                if debruijn.as_usize()
-                    >= self.current_index.as_usize() + self.universe_indices.len() =>
-            {
-                bug!(
-                    "Bound vars {r:#?} outside of `self.universe_indices`: {:#?}",
-                    self.universe_indices
-                );
-            }
-            ty::ReBound(debruijn, br) if debruijn >= self.current_index => {
-                let universe = self.universe_for(debruijn);
-                let p = ty::PlaceholderRegion { universe, bound: br };
-                self.mapped_regions.insert(p, br);
-                ty::Region::new_placeholder(self.infcx.tcx, p)
-            }
-            _ => r,
-        }
-    }
-
-    fn fold_ty(&mut self, t: Ty<'tcx>) -> Ty<'tcx> {
-        match *t.kind() {
-            ty::Bound(debruijn, _)
-                if debruijn.as_usize() + 1
-                    > self.current_index.as_usize() + self.universe_indices.len() =>
-            {
-                bug!(
-                    "Bound vars {t:#?} outside of `self.universe_indices`: {:#?}",
-                    self.universe_indices
-                );
-            }
-            ty::Bound(debruijn, bound_ty) if debruijn >= self.current_index => {
-                let universe = self.universe_for(debruijn);
-                let p = ty::PlaceholderType { universe, bound: bound_ty };
-                self.mapped_types.insert(p, bound_ty);
-                Ty::new_placeholder(self.infcx.tcx, p)
-            }
-            _ if t.has_vars_bound_at_or_above(self.current_index) => t.super_fold_with(self),
-            _ => t,
-        }
-    }
-
-    fn fold_const(&mut self, ct: ty::Const<'tcx>) -> ty::Const<'tcx> {
-        match ct.kind() {
-            ty::ConstKind::Bound(debruijn, _)
-                if debruijn.as_usize() + 1
-                    > self.current_index.as_usize() + self.universe_indices.len() =>
-            {
-                bug!(
-                    "Bound vars {ct:#?} outside of `self.universe_indices`: {:#?}",
-                    self.universe_indices
-                );
-            }
-            ty::ConstKind::Bound(debruijn, bound_const) if debruijn >= self.current_index => {
-                let universe = self.universe_for(debruijn);
-                let p = ty::PlaceholderConst { universe, bound: bound_const };
-                self.mapped_consts.insert(p, bound_const);
-                ty::Const::new_placeholder(self.infcx.tcx, p, ct.ty())
-            }
-            _ => ct.super_fold_with(self),
-        }
-    }
-
-    fn fold_predicate(&mut self, p: ty::Predicate<'tcx>) -> ty::Predicate<'tcx> {
-        if p.has_vars_bound_at_or_above(self.current_index) { p.super_fold_with(self) } else { p }
-    }
-}
-
-/// The inverse of [`BoundVarReplacer`]: replaces placeholders with the bound vars from which they came.
-pub struct PlaceholderReplacer<'me, 'tcx> {
-    infcx: &'me InferCtxt<'tcx>,
-    mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
-    mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
-    mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
-    universe_indices: &'me [Option<ty::UniverseIndex>],
-    current_index: ty::DebruijnIndex,
-}
-
-impl<'me, 'tcx> PlaceholderReplacer<'me, 'tcx> {
-    pub fn replace_placeholders<T: TypeFoldable<TyCtxt<'tcx>>>(
-        infcx: &'me InferCtxt<'tcx>,
-        mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
-        mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
-        mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
-        universe_indices: &'me [Option<ty::UniverseIndex>],
-        value: T,
-    ) -> T {
-        let mut replacer = PlaceholderReplacer {
-            infcx,
-            mapped_regions,
-            mapped_types,
-            mapped_consts,
-            universe_indices,
-            current_index: ty::INNERMOST,
-        };
-        value.fold_with(&mut replacer)
-    }
-}
-
-impl<'tcx> TypeFolder<TyCtxt<'tcx>> for PlaceholderReplacer<'_, 'tcx> {
-    fn interner(&self) -> TyCtxt<'tcx> {
-        self.infcx.tcx
-    }
-
-    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
-        &mut self,
-        t: ty::Binder<'tcx, T>,
-    ) -> ty::Binder<'tcx, T> {
-        if !t.has_placeholders() && !t.has_infer() {
-            return t;
-        }
-        self.current_index.shift_in(1);
-        let t = t.super_fold_with(self);
-        self.current_index.shift_out(1);
-        t
-    }
-
-    fn fold_region(&mut self, r0: ty::Region<'tcx>) -> ty::Region<'tcx> {
-        let r1 = match *r0 {
-            ty::ReVar(vid) => self
-                .infcx
-                .inner
-                .borrow_mut()
-                .unwrap_region_constraints()
-                .opportunistic_resolve_var(self.infcx.tcx, vid),
-            _ => r0,
-        };
-
-        let r2 = match *r1 {
-            ty::RePlaceholder(p) => {
-                let replace_var = self.mapped_regions.get(&p);
-                match replace_var {
-                    Some(replace_var) => {
-                        let index = self
-                            .universe_indices
-                            .iter()
-                            .position(|u| matches!(u, Some(pu) if *pu == p.universe))
-                            .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
-                        let db = ty::DebruijnIndex::from_usize(
-                            self.universe_indices.len() - index + self.current_index.as_usize() - 1,
-                        );
-                        ty::Region::new_bound(self.interner(), db, *replace_var)
-                    }
-                    None => r1,
-                }
-            }
-            _ => r1,
-        };
-
-        debug!(?r0, ?r1, ?r2, "fold_region");
-
-        r2
-    }
-
-    fn fold_ty(&mut self, ty: Ty<'tcx>) -> Ty<'tcx> {
-        let ty = self.infcx.shallow_resolve(ty);
-        match *ty.kind() {
-            ty::Placeholder(p) => {
-                let replace_var = self.mapped_types.get(&p);
-                match replace_var {
-                    Some(replace_var) => {
-                        let index = self
-                            .universe_indices
-                            .iter()
-                            .position(|u| matches!(u, Some(pu) if *pu == p.universe))
-                            .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
-                        let db = ty::DebruijnIndex::from_usize(
-                            self.universe_indices.len() - index + self.current_index.as_usize() - 1,
-                        );
-                        Ty::new_bound(self.infcx.tcx, db, *replace_var)
-                    }
-                    None => {
-                        if ty.has_infer() {
-                            ty.super_fold_with(self)
-                        } else {
-                            ty
-                        }
-                    }
-                }
-            }
-
-            _ if ty.has_placeholders() || ty.has_infer() => ty.super_fold_with(self),
-            _ => ty,
-        }
-    }
-
-    fn fold_const(&mut self, ct: ty::Const<'tcx>) -> ty::Const<'tcx> {
-        let ct = self.infcx.shallow_resolve(ct);
-        if let ty::ConstKind::Placeholder(p) = ct.kind() {
-            let replace_var = self.mapped_consts.get(&p);
-            match replace_var {
-                Some(replace_var) => {
-                    let index = self
-                        .universe_indices
-                        .iter()
-                        .position(|u| matches!(u, Some(pu) if *pu == p.universe))
-                        .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
-                    let db = ty::DebruijnIndex::from_usize(
-                        self.universe_indices.len() - index + self.current_index.as_usize() - 1,
-                    );
-                    ty::Const::new_bound(self.infcx.tcx, db, *replace_var, ct.ty())
-                }
-                None => {
-                    if ct.has_infer() {
-                        ct.super_fold_with(self)
-                    } else {
-                        ct
-                    }
-                }
-            }
-        } else {
-            ct.super_fold_with(self)
-        }
-    }
-}
-
 /// The guts of `normalize`: normalize a specific projection like `<T
 /// as Trait>::Item`. The result is always a type (and possibly
 /// additional obligations). If ambiguity arises, which implies that
@@ -1076,7 +329,7 @@ pub fn normalize_projection_type<'a, 'b, 'tcx>(
 /// function takes an obligations vector and appends to it directly, which is
 /// slightly uglier but avoids the need for an extra short-lived allocation.
 #[instrument(level = "debug", skip(selcx, param_env, cause, obligations))]
-fn opt_normalize_projection_type<'a, 'b, 'tcx>(
+pub(super) fn opt_normalize_projection_type<'a, 'b, 'tcx>(
     selcx: &'a mut SelectionContext<'b, 'tcx>,
     param_env: ty::ParamEnv<'tcx>,
     projection_ty: ty::AliasTy<'tcx>,
@@ -1180,14 +433,14 @@ fn opt_normalize_projection_type<'a, 'b, 'tcx>(
             let projected_term = selcx.infcx.resolve_vars_if_possible(projected_term);
 
             let mut result = if projected_term.has_projections() {
-                let mut normalizer = AssocTypeNormalizer::new(
+                let normalized_ty = normalize_with_depth_to(
                     selcx,
                     param_env,
                     cause,
                     depth + 1,
+                    projected_term,
                     &mut projected_obligations,
                 );
-                let normalized_ty = normalizer.fold(projected_term);
 
                 Normalized { value: normalized_ty, obligations: projected_obligations }
             } else {
diff --git a/compiler/rustc_trait_selection/src/traits/query/normalize.rs b/compiler/rustc_trait_selection/src/traits/query/normalize.rs
index 0f6c0abd280..26da065246d 100644
--- a/compiler/rustc_trait_selection/src/traits/query/normalize.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/normalize.rs
@@ -6,7 +6,8 @@ use crate::infer::at::At;
 use crate::infer::canonical::OriginalQueryValues;
 use crate::infer::{InferCtxt, InferOk};
 use crate::traits::error_reporting::TypeErrCtxtExt;
-use crate::traits::project::{needs_normalization, BoundVarReplacer, PlaceholderReplacer};
+use crate::traits::normalize::needs_normalization;
+use crate::traits::{BoundVarReplacer, PlaceholderReplacer};
 use crate::traits::{ObligationCause, PredicateObligation, Reveal};
 use rustc_data_structures::sso::SsoHashMap;
 use rustc_data_structures::stack::ensure_sufficient_stack;
@@ -335,7 +336,7 @@ impl<'cx, 'tcx> FallibleTypeFolder<TyCtxt<'tcx>> for QueryNormalizer<'cx, 'tcx>
 
         let constant = constant.try_super_fold_with(self)?;
         debug!(?constant, ?self.param_env);
-        Ok(crate::traits::project::with_replaced_escaping_bound_vars(
+        Ok(crate::traits::with_replaced_escaping_bound_vars(
             self.infcx,
             &mut self.universes,
             constant,
diff --git a/compiler/rustc_trait_selection/src/traits/select/confirmation.rs b/compiler/rustc_trait_selection/src/traits/select/confirmation.rs
index e4a70c537d2..f76be876948 100644
--- a/compiler/rustc_trait_selection/src/traits/select/confirmation.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/confirmation.rs
@@ -18,7 +18,7 @@ use rustc_middle::ty::{
 };
 use rustc_span::def_id::DefId;
 
-use crate::traits::project::{normalize_with_depth, normalize_with_depth_to};
+use crate::traits::normalize::{normalize_with_depth, normalize_with_depth_to};
 use crate::traits::util::{self, closure_trait_ref_and_return_type};
 use crate::traits::vtable::{
     count_own_vtable_entries, prepare_vtable_segments, vtable_trait_first_method_offset,
diff --git a/compiler/rustc_trait_selection/src/traits/select/mod.rs b/compiler/rustc_trait_selection/src/traits/select/mod.rs
index c2566f27c1f..65cb9e1c1f4 100644
--- a/compiler/rustc_trait_selection/src/traits/select/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/mod.rs
@@ -8,7 +8,6 @@ use self::SelectionCandidate::*;
 use super::coherence::{self, Conflict};
 use super::const_evaluatable;
 use super::project;
-use super::project::normalize_with_depth_to;
 use super::project::ProjectionTyObligation;
 use super::util;
 use super::util::closure_trait_ref_and_return_type;
@@ -22,6 +21,8 @@ use super::{
 use crate::infer::{InferCtxt, InferOk, TypeFreshener};
 use crate::solve::InferCtxtSelectExt;
 use crate::traits::error_reporting::TypeErrCtxtExt;
+use crate::traits::normalize::normalize_with_depth;
+use crate::traits::normalize::normalize_with_depth_to;
 use crate::traits::project::ProjectAndUnifyResult;
 use crate::traits::project::ProjectionCacheKeyExt;
 use crate::traits::ProjectionCacheKey;
@@ -1661,7 +1662,7 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
         }
 
         let Normalized { value: trait_bound, obligations: _ } = ensure_sufficient_stack(|| {
-            project::normalize_with_depth(
+            normalize_with_depth(
                 self,
                 obligation.param_env,
                 obligation.cause.clone(),
@@ -1717,7 +1718,7 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
         );
         let infer_projection = if potentially_unnormalized_candidates {
             ensure_sufficient_stack(|| {
-                project::normalize_with_depth_to(
+                normalize_with_depth_to(
                     self,
                     obligation.param_env,
                     obligation.cause.clone(),
@@ -2382,7 +2383,7 @@ impl<'tcx> SelectionContext<'_, 'tcx> {
                 let placeholder_ty = self.infcx.enter_forall_and_leak_universe(ty);
                 let Normalized { value: normalized_ty, mut obligations } =
                     ensure_sufficient_stack(|| {
-                        project::normalize_with_depth(
+                        normalize_with_depth(
                             self,
                             param_env,
                             cause.clone(),
@@ -2479,7 +2480,7 @@ impl<'tcx> SelectionContext<'_, 'tcx> {
 
         let Normalized { value: impl_trait_ref, obligations: mut nested_obligations } =
             ensure_sufficient_stack(|| {
-                project::normalize_with_depth(
+                normalize_with_depth(
                     self,
                     obligation.param_env,
                     obligation.cause.clone(),
diff --git a/compiler/rustc_trait_selection/src/traits/util.rs b/compiler/rustc_trait_selection/src/traits/util.rs
index af172eb0713..23c86a2feef 100644
--- a/compiler/rustc_trait_selection/src/traits/util.rs
+++ b/compiler/rustc_trait_selection/src/traits/util.rs
@@ -1,11 +1,14 @@
+use std::collections::BTreeMap;
+
 use super::NormalizeExt;
 use super::{ObligationCause, PredicateObligation, SelectionContext};
 use rustc_data_structures::fx::FxHashSet;
 use rustc_errors::Diagnostic;
 use rustc_hir::def_id::DefId;
-use rustc_infer::infer::InferOk;
+use rustc_infer::infer::{InferCtxt, InferOk};
 use rustc_middle::ty::GenericArgsRef;
 use rustc_middle::ty::{self, ImplSubject, ToPredicate, Ty, TyCtxt, TypeVisitableExt};
+use rustc_middle::ty::{TypeFoldable, TypeFolder, TypeSuperFoldable};
 use rustc_span::Span;
 use smallvec::SmallVec;
 
@@ -382,3 +385,336 @@ pub fn check_args_compatible<'tcx>(
     let args = &args[0..generics.count().min(args.len())];
     check_args_compatible_inner(tcx, generics, args)
 }
+
+/// Executes `f` on `value` after replacing all escaping bound variables with placeholders
+/// and then replaces these placeholders with the original bound variables in the result.
+///
+/// In most places, bound variables should be replaced right when entering a binder, making
+/// this function unnecessary. However, normalization currently does not do that, so we have
+/// to do this lazily.
+///
+/// You should not add any additional uses of this function, at least not without first
+/// discussing it with t-types.
+///
+/// FIXME(@lcnr): We may even consider experimenting with eagerly replacing bound vars during
+/// normalization as well, at which point this function will be unnecessary and can be removed.
+pub fn with_replaced_escaping_bound_vars<
+    'a,
+    'tcx,
+    T: TypeFoldable<TyCtxt<'tcx>>,
+    R: TypeFoldable<TyCtxt<'tcx>>,
+>(
+    infcx: &'a InferCtxt<'tcx>,
+    universe_indices: &'a mut Vec<Option<ty::UniverseIndex>>,
+    value: T,
+    f: impl FnOnce(T) -> R,
+) -> R {
+    if value.has_escaping_bound_vars() {
+        let (value, mapped_regions, mapped_types, mapped_consts) =
+            BoundVarReplacer::replace_bound_vars(infcx, universe_indices, value);
+        let result = f(value);
+        PlaceholderReplacer::replace_placeholders(
+            infcx,
+            mapped_regions,
+            mapped_types,
+            mapped_consts,
+            universe_indices,
+            result,
+        )
+    } else {
+        f(value)
+    }
+}
+
+pub struct BoundVarReplacer<'me, 'tcx> {
+    infcx: &'me InferCtxt<'tcx>,
+    // These three maps track the bound variable that were replaced by placeholders. It might be
+    // nice to remove these since we already have the `kind` in the placeholder; we really just need
+    // the `var` (but we *could* bring that into scope if we were to track them as we pass them).
+    mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
+    mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
+    mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
+    // The current depth relative to *this* folding, *not* the entire normalization. In other words,
+    // the depth of binders we've passed here.
+    current_index: ty::DebruijnIndex,
+    // The `UniverseIndex` of the binding levels above us. These are optional, since we are lazy:
+    // we don't actually create a universe until we see a bound var we have to replace.
+    universe_indices: &'me mut Vec<Option<ty::UniverseIndex>>,
+}
+
+impl<'me, 'tcx> BoundVarReplacer<'me, 'tcx> {
+    /// Returns `Some` if we *were* able to replace bound vars. If there are any bound vars that
+    /// use a binding level above `universe_indices.len()`, we fail.
+    pub fn replace_bound_vars<T: TypeFoldable<TyCtxt<'tcx>>>(
+        infcx: &'me InferCtxt<'tcx>,
+        universe_indices: &'me mut Vec<Option<ty::UniverseIndex>>,
+        value: T,
+    ) -> (
+        T,
+        BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
+        BTreeMap<ty::PlaceholderType, ty::BoundTy>,
+        BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
+    ) {
+        let mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion> = BTreeMap::new();
+        let mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy> = BTreeMap::new();
+        let mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar> = BTreeMap::new();
+
+        let mut replacer = BoundVarReplacer {
+            infcx,
+            mapped_regions,
+            mapped_types,
+            mapped_consts,
+            current_index: ty::INNERMOST,
+            universe_indices,
+        };
+
+        let value = value.fold_with(&mut replacer);
+
+        (value, replacer.mapped_regions, replacer.mapped_types, replacer.mapped_consts)
+    }
+
+    fn universe_for(&mut self, debruijn: ty::DebruijnIndex) -> ty::UniverseIndex {
+        let infcx = self.infcx;
+        let index =
+            self.universe_indices.len() + self.current_index.as_usize() - debruijn.as_usize() - 1;
+        let universe = self.universe_indices[index].unwrap_or_else(|| {
+            for i in self.universe_indices.iter_mut().take(index + 1) {
+                *i = i.or_else(|| Some(infcx.create_next_universe()))
+            }
+            self.universe_indices[index].unwrap()
+        });
+        universe
+    }
+}
+
+impl<'tcx> TypeFolder<TyCtxt<'tcx>> for BoundVarReplacer<'_, 'tcx> {
+    fn interner(&self) -> TyCtxt<'tcx> {
+        self.infcx.tcx
+    }
+
+    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
+        &mut self,
+        t: ty::Binder<'tcx, T>,
+    ) -> ty::Binder<'tcx, T> {
+        self.current_index.shift_in(1);
+        let t = t.super_fold_with(self);
+        self.current_index.shift_out(1);
+        t
+    }
+
+    fn fold_region(&mut self, r: ty::Region<'tcx>) -> ty::Region<'tcx> {
+        match *r {
+            ty::ReBound(debruijn, _)
+                if debruijn.as_usize()
+                    >= self.current_index.as_usize() + self.universe_indices.len() =>
+            {
+                bug!(
+                    "Bound vars {r:#?} outside of `self.universe_indices`: {:#?}",
+                    self.universe_indices
+                );
+            }
+            ty::ReBound(debruijn, br) if debruijn >= self.current_index => {
+                let universe = self.universe_for(debruijn);
+                let p = ty::PlaceholderRegion { universe, bound: br };
+                self.mapped_regions.insert(p, br);
+                ty::Region::new_placeholder(self.infcx.tcx, p)
+            }
+            _ => r,
+        }
+    }
+
+    fn fold_ty(&mut self, t: Ty<'tcx>) -> Ty<'tcx> {
+        match *t.kind() {
+            ty::Bound(debruijn, _)
+                if debruijn.as_usize() + 1
+                    > self.current_index.as_usize() + self.universe_indices.len() =>
+            {
+                bug!(
+                    "Bound vars {t:#?} outside of `self.universe_indices`: {:#?}",
+                    self.universe_indices
+                );
+            }
+            ty::Bound(debruijn, bound_ty) if debruijn >= self.current_index => {
+                let universe = self.universe_for(debruijn);
+                let p = ty::PlaceholderType { universe, bound: bound_ty };
+                self.mapped_types.insert(p, bound_ty);
+                Ty::new_placeholder(self.infcx.tcx, p)
+            }
+            _ if t.has_vars_bound_at_or_above(self.current_index) => t.super_fold_with(self),
+            _ => t,
+        }
+    }
+
+    fn fold_const(&mut self, ct: ty::Const<'tcx>) -> ty::Const<'tcx> {
+        match ct.kind() {
+            ty::ConstKind::Bound(debruijn, _)
+                if debruijn.as_usize() + 1
+                    > self.current_index.as_usize() + self.universe_indices.len() =>
+            {
+                bug!(
+                    "Bound vars {ct:#?} outside of `self.universe_indices`: {:#?}",
+                    self.universe_indices
+                );
+            }
+            ty::ConstKind::Bound(debruijn, bound_const) if debruijn >= self.current_index => {
+                let universe = self.universe_for(debruijn);
+                let p = ty::PlaceholderConst { universe, bound: bound_const };
+                self.mapped_consts.insert(p, bound_const);
+                ty::Const::new_placeholder(self.infcx.tcx, p, ct.ty())
+            }
+            _ => ct.super_fold_with(self),
+        }
+    }
+
+    fn fold_predicate(&mut self, p: ty::Predicate<'tcx>) -> ty::Predicate<'tcx> {
+        if p.has_vars_bound_at_or_above(self.current_index) { p.super_fold_with(self) } else { p }
+    }
+}
+
+/// The inverse of [`BoundVarReplacer`]: replaces placeholders with the bound vars from which they came.
+pub struct PlaceholderReplacer<'me, 'tcx> {
+    infcx: &'me InferCtxt<'tcx>,
+    mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
+    mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
+    mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
+    universe_indices: &'me [Option<ty::UniverseIndex>],
+    current_index: ty::DebruijnIndex,
+}
+
+impl<'me, 'tcx> PlaceholderReplacer<'me, 'tcx> {
+    pub fn replace_placeholders<T: TypeFoldable<TyCtxt<'tcx>>>(
+        infcx: &'me InferCtxt<'tcx>,
+        mapped_regions: BTreeMap<ty::PlaceholderRegion, ty::BoundRegion>,
+        mapped_types: BTreeMap<ty::PlaceholderType, ty::BoundTy>,
+        mapped_consts: BTreeMap<ty::PlaceholderConst, ty::BoundVar>,
+        universe_indices: &'me [Option<ty::UniverseIndex>],
+        value: T,
+    ) -> T {
+        let mut replacer = PlaceholderReplacer {
+            infcx,
+            mapped_regions,
+            mapped_types,
+            mapped_consts,
+            universe_indices,
+            current_index: ty::INNERMOST,
+        };
+        value.fold_with(&mut replacer)
+    }
+}
+
+impl<'tcx> TypeFolder<TyCtxt<'tcx>> for PlaceholderReplacer<'_, 'tcx> {
+    fn interner(&self) -> TyCtxt<'tcx> {
+        self.infcx.tcx
+    }
+
+    fn fold_binder<T: TypeFoldable<TyCtxt<'tcx>>>(
+        &mut self,
+        t: ty::Binder<'tcx, T>,
+    ) -> ty::Binder<'tcx, T> {
+        if !t.has_placeholders() && !t.has_infer() {
+            return t;
+        }
+        self.current_index.shift_in(1);
+        let t = t.super_fold_with(self);
+        self.current_index.shift_out(1);
+        t
+    }
+
+    fn fold_region(&mut self, r0: ty::Region<'tcx>) -> ty::Region<'tcx> {
+        let r1 = match *r0 {
+            ty::ReVar(vid) => self
+                .infcx
+                .inner
+                .borrow_mut()
+                .unwrap_region_constraints()
+                .opportunistic_resolve_var(self.infcx.tcx, vid),
+            _ => r0,
+        };
+
+        let r2 = match *r1 {
+            ty::RePlaceholder(p) => {
+                let replace_var = self.mapped_regions.get(&p);
+                match replace_var {
+                    Some(replace_var) => {
+                        let index = self
+                            .universe_indices
+                            .iter()
+                            .position(|u| matches!(u, Some(pu) if *pu == p.universe))
+                            .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
+                        let db = ty::DebruijnIndex::from_usize(
+                            self.universe_indices.len() - index + self.current_index.as_usize() - 1,
+                        );
+                        ty::Region::new_bound(self.interner(), db, *replace_var)
+                    }
+                    None => r1,
+                }
+            }
+            _ => r1,
+        };
+
+        debug!(?r0, ?r1, ?r2, "fold_region");
+
+        r2
+    }
+
+    fn fold_ty(&mut self, ty: Ty<'tcx>) -> Ty<'tcx> {
+        let ty = self.infcx.shallow_resolve(ty);
+        match *ty.kind() {
+            ty::Placeholder(p) => {
+                let replace_var = self.mapped_types.get(&p);
+                match replace_var {
+                    Some(replace_var) => {
+                        let index = self
+                            .universe_indices
+                            .iter()
+                            .position(|u| matches!(u, Some(pu) if *pu == p.universe))
+                            .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
+                        let db = ty::DebruijnIndex::from_usize(
+                            self.universe_indices.len() - index + self.current_index.as_usize() - 1,
+                        );
+                        Ty::new_bound(self.infcx.tcx, db, *replace_var)
+                    }
+                    None => {
+                        if ty.has_infer() {
+                            ty.super_fold_with(self)
+                        } else {
+                            ty
+                        }
+                    }
+                }
+            }
+
+            _ if ty.has_placeholders() || ty.has_infer() => ty.super_fold_with(self),
+            _ => ty,
+        }
+    }
+
+    fn fold_const(&mut self, ct: ty::Const<'tcx>) -> ty::Const<'tcx> {
+        let ct = self.infcx.shallow_resolve(ct);
+        if let ty::ConstKind::Placeholder(p) = ct.kind() {
+            let replace_var = self.mapped_consts.get(&p);
+            match replace_var {
+                Some(replace_var) => {
+                    let index = self
+                        .universe_indices
+                        .iter()
+                        .position(|u| matches!(u, Some(pu) if *pu == p.universe))
+                        .unwrap_or_else(|| bug!("Unexpected placeholder universe."));
+                    let db = ty::DebruijnIndex::from_usize(
+                        self.universe_indices.len() - index + self.current_index.as_usize() - 1,
+                    );
+                    ty::Const::new_bound(self.infcx.tcx, db, *replace_var, ct.ty())
+                }
+                None => {
+                    if ct.has_infer() {
+                        ct.super_fold_with(self)
+                    } else {
+                        ct
+                    }
+                }
+            }
+        } else {
+            ct.super_fold_with(self)
+        }
+    }
+}
diff --git a/compiler/rustc_trait_selection/src/traits/wf.rs b/compiler/rustc_trait_selection/src/traits/wf.rs
index c727ef53d55..15059bc6613 100644
--- a/compiler/rustc_trait_selection/src/traits/wf.rs
+++ b/compiler/rustc_trait_selection/src/traits/wf.rs
@@ -313,7 +313,7 @@ impl<'a, 'tcx> WfPredicates<'a, 'tcx> {
             // Don't normalize the whole obligation, the param env is either
             // already normalized, or we're currently normalizing the
             // param_env. Either way we should only normalize the predicate.
-            let normalized_predicate = traits::project::normalize_with_depth_to(
+            let normalized_predicate = traits::normalize::normalize_with_depth_to(
                 &mut selcx,
                 param_env,
                 cause.clone(),