diff --git a/compiler/rustc_hir_typeck/src/coercion.rs b/compiler/rustc_hir_typeck/src/coercion.rs
index ebdc558282a91..93726ce2b3eb1 100644
--- a/compiler/rustc_hir_typeck/src/coercion.rs
+++ b/compiler/rustc_hir_typeck/src/coercion.rs
@@ -1158,7 +1158,6 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
             let (a_sig, b_sig) = self.normalize(new.span, (a_sig, b_sig));
             let sig = self
                 .at(cause, self.param_env)
-                .trace(prev_ty, new_ty)
                 .lub(DefineOpaqueTypes::Yes, a_sig, b_sig)
                 .map(|ok| self.register_infer_ok_obligations(ok))?;
 
diff --git a/compiler/rustc_infer/src/infer/at.rs b/compiler/rustc_infer/src/infer/at.rs
index 16057b6ad9dc1..aa37aaf22eb47 100644
--- a/compiler/rustc_infer/src/infer/at.rs
+++ b/compiler/rustc_infer/src/infer/at.rs
@@ -156,6 +156,23 @@ impl<'a, 'tcx> At<'a, 'tcx> {
         self.trace(expected, actual).eq(define_opaque_types, expected, actual)
     }
 
+    /// Equates `expected` and `found` while structurally relating aliases.
+    /// This should only be used inside of the next generation trait solver
+    /// when relating rigid aliases.
+    pub fn eq_structurally_relating_aliases<T>(
+        self,
+        expected: T,
+        actual: T,
+    ) -> InferResult<'tcx, ()>
+    where
+        T: ToTrace<'tcx>,
+    {
+        self.trace(expected, actual).eq_structurally_relating_aliases(
+            expected,
+            actual,
+        )
+    }
+
     pub fn relate<T>(
         self,
         define_opaque_types: DefineOpaqueTypes,
diff --git a/compiler/rustc_trait_selection/src/solve/eval_ctxt/canonical.rs b/compiler/rustc_trait_selection/src/solve/eval_ctxt/canonical.rs
index f6ec654908450..bc248754f167e 100644
--- a/compiler/rustc_trait_selection/src/solve/eval_ctxt/canonical.rs
+++ b/compiler/rustc_trait_selection/src/solve/eval_ctxt/canonical.rs
@@ -362,7 +362,6 @@ impl<'tcx> EvalCtxt<'_, InferCtxt<'tcx>> {
         for (&orig, response) in iter::zip(original_values, var_values.var_values) {
             let InferOk { value: (), obligations } = infcx
                 .at(&cause, param_env)
-                .trace(orig, response)
                 .eq_structurally_relating_aliases(orig, response)
                 .unwrap();
             assert!(obligations.is_empty());
diff --git a/compiler/rustc_trait_selection/src/solve/eval_ctxt/mod.rs b/compiler/rustc_trait_selection/src/solve/eval_ctxt/mod.rs
index 4cf0af948119d..9ae0809e96ed8 100644
--- a/compiler/rustc_trait_selection/src/solve/eval_ctxt/mod.rs
+++ b/compiler/rustc_trait_selection/src/solve/eval_ctxt/mod.rs
@@ -774,7 +774,6 @@ impl<'tcx> EvalCtxt<'_, InferCtxt<'tcx>> {
             let InferOk { value: (), obligations } = self
                 .infcx
                 .at(&ObligationCause::dummy(), param_env)
-                .trace(term, ctor_term)
                 .eq_structurally_relating_aliases(term, ctor_term)?;
             debug_assert!(obligations.is_empty());
             self.relate(param_env, alias, variance, rigid_ctor)
@@ -794,11 +793,8 @@ impl<'tcx> EvalCtxt<'_, InferCtxt<'tcx>> {
         rhs: T,
     ) -> Result<(), NoSolution> {
         let cause = ObligationCause::dummy();
-        let InferOk { value: (), obligations } = self
-            .infcx
-            .at(&cause, param_env)
-            .trace(lhs, rhs)
-            .eq_structurally_relating_aliases(lhs, rhs)?;
+        let InferOk { value: (), obligations } =
+            self.infcx.at(&cause, param_env).eq_structurally_relating_aliases(lhs, rhs)?;
         assert!(obligations.is_empty());
         Ok(())
     }
diff --git a/compiler/rustc_trait_selection/src/traits/fulfill.rs b/compiler/rustc_trait_selection/src/traits/fulfill.rs
index 07fcf109fdaa2..629f6f394af37 100644
--- a/compiler/rustc_trait_selection/src/traits/fulfill.rs
+++ b/compiler/rustc_trait_selection/src/traits/fulfill.rs
@@ -566,10 +566,13 @@ impl<'a, 'tcx> ObligationProcessor for FulfillProcessor<'a, 'tcx> {
                             {
                                 if let Ok(new_obligations) = infcx
                                     .at(&obligation.cause, obligation.param_env)
-                                    .trace(c1, c2)
                                     // Can define opaque types as this is only reachable with
                                     // `generic_const_exprs`
-                                    .eq(DefineOpaqueTypes::Yes, a.args, b.args)
+                                    .eq(
+                                        DefineOpaqueTypes::Yes,
+                                        ty::AliasTerm::from(a),
+                                        ty::AliasTerm::from(b),
+                                    )
                                 {
                                     return ProcessResult::Changed(mk_pending(
                                         new_obligations.into_obligations(),
diff --git a/compiler/rustc_trait_selection/src/traits/select/mod.rs b/compiler/rustc_trait_selection/src/traits/select/mod.rs
index 696b1c1511531..7aec4e1987ed9 100644
--- a/compiler/rustc_trait_selection/src/traits/select/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/mod.rs
@@ -910,10 +910,13 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
                                 if let Ok(InferOk { obligations, value: () }) = self
                                     .infcx
                                     .at(&obligation.cause, obligation.param_env)
-                                    .trace(c1, c2)
                                     // Can define opaque types as this is only reachable with
                                     // `generic_const_exprs`
-                                    .eq(DefineOpaqueTypes::Yes, a.args, b.args)
+                                    .eq(
+                                        DefineOpaqueTypes::Yes,
+                                        ty::AliasTerm::from(a),
+                                        ty::AliasTerm::from(b),
+                                    )
                                 {
                                     return self.evaluate_predicates_recursively(
                                         previous_stack,