diff --git a/compiler/rustc_trait_selection/src/traits/implied_outlives_bounds.rs b/compiler/rustc_trait_selection/src/traits/implied_outlives_bounds.rs
index 79f630860235a..c0df53db4ab34 100644
--- a/compiler/rustc_trait_selection/src/traits/implied_outlives_bounds.rs
+++ b/compiler/rustc_trait_selection/src/traits/implied_outlives_bounds.rs
@@ -39,14 +39,6 @@ impl<'tcx> QueryTypeOp<'tcx> for ImpliedOutlivesBounds<'tcx> {
     ) -> Result<CanonicalQueryResponse<'tcx, Self::QueryResponse>, NoSolution> {
         tcx.implied_outlives_bounds((canonicalized, false))
     }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        _span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        query_compute_implied_outlives_bounds(ocx, key.param_env, key.value.ty, false)
-    }
 }
 
 pub fn compute_implied_outlives_bounds_inner<'tcx>(
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/ascribe_user_type.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/ascribe_user_type.rs
index e8814c56c5016..239cbc5aa7622 100644
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/ascribe_user_type.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/type_op/ascribe_user_type.rs
@@ -29,14 +29,6 @@ impl<'tcx> super::QueryTypeOp<'tcx> for AscribeUserType<'tcx> {
     ) -> Result<CanonicalQueryResponse<'tcx, ()>, NoSolution> {
         tcx.type_op_ascribe_user_type(canonicalized)
     }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        type_op_ascribe_user_type_with_span(ocx, key, span)
-    }
 }
 
 /// The core of the `type_op_ascribe_user_type` query: for diagnostics purposes in NLL HRTB errors,
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/mod.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/mod.rs
index 62d636f2de046..250579a2b064a 100644
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/type_op/mod.rs
@@ -12,7 +12,7 @@ use crate::infer::canonical::{
     QueryRegionConstraints,
 };
 use crate::infer::{InferCtxt, InferOk};
-use crate::traits::{ObligationCause, ObligationCtxt};
+use crate::traits::ObligationCause;
 
 pub mod ascribe_user_type;
 pub mod custom;
@@ -83,18 +83,6 @@ pub trait QueryTypeOp<'tcx>: fmt::Debug + Copy + TypeFoldable<TyCtxt<'tcx>> + 't
         canonicalized: CanonicalQueryInput<'tcx, ParamEnvAnd<'tcx, Self>>,
     ) -> Result<CanonicalQueryResponse<'tcx, Self::QueryResponse>, NoSolution>;
 
-    /// In the new trait solver, we already do caching in the solver itself,
-    /// so there's no need to canonicalize and cache via the query system.
-    /// Additionally, even if we were to canonicalize, we'd still need to
-    /// make sure to feed it predefined opaque types and the defining anchor
-    /// and that would require duplicating all of the tcx queries. Instead,
-    /// just perform these ops locally.
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution>;
-
     fn fully_perform_into(
         query_key: ParamEnvAnd<'tcx, Self>,
         infcx: &InferCtxt<'tcx>,
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/normalize.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/normalize.rs
index 7b330c942807c..66a2d44699634 100644
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/normalize.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/type_op/normalize.rs
@@ -1,13 +1,10 @@
 use std::fmt;
 
-use rustc_middle::traits::ObligationCause;
 use rustc_middle::traits::query::NoSolution;
 pub use rustc_middle::traits::query::type_op::Normalize;
 use rustc_middle::ty::{self, Lift, ParamEnvAnd, Ty, TyCtxt, TypeFoldable, TypeVisitableExt};
-use rustc_span::Span;
 
 use crate::infer::canonical::{CanonicalQueryInput, CanonicalQueryResponse};
-use crate::traits::ObligationCtxt;
 
 impl<'tcx, T> super::QueryTypeOp<'tcx> for Normalize<'tcx, T>
 where
@@ -29,19 +26,6 @@ where
     ) -> Result<CanonicalQueryResponse<'tcx, Self::QueryResponse>, NoSolution> {
         T::type_op_method(tcx, canonicalized)
     }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        ocx.deeply_normalize(
-            &ObligationCause::dummy_with_span(span),
-            key.param_env,
-            key.value.value,
-        )
-        .map_err(|_| NoSolution)
-    }
 }
 
 pub trait Normalizable<'tcx>:
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/outlives.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/outlives.rs
index 99a2779aa8212..fd06dd4403c12 100644
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/outlives.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/type_op/outlives.rs
@@ -1,12 +1,8 @@
 use rustc_middle::traits::query::{DropckOutlivesResult, NoSolution};
 use rustc_middle::ty::{ParamEnvAnd, TyCtxt};
-use rustc_span::Span;
 
 use crate::infer::canonical::{CanonicalQueryInput, CanonicalQueryResponse};
-use crate::traits::ObligationCtxt;
-use crate::traits::query::dropck_outlives::{
-    compute_dropck_outlives_inner, trivial_dropck_outlives,
-};
+use crate::traits::query::dropck_outlives::trivial_dropck_outlives;
 use crate::traits::query::type_op::DropckOutlives;
 
 impl<'tcx> super::QueryTypeOp<'tcx> for DropckOutlives<'tcx> {
@@ -25,12 +21,4 @@ impl<'tcx> super::QueryTypeOp<'tcx> for DropckOutlives<'tcx> {
     ) -> Result<CanonicalQueryResponse<'tcx, Self::QueryResponse>, NoSolution> {
         tcx.dropck_outlives(canonicalized)
     }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        compute_dropck_outlives_inner(ocx, key.param_env.and(key.value), span)
-    }
 }
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/prove_predicate.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/prove_predicate.rs
index 8601371c7ebf2..5dedd9af40561 100644
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/prove_predicate.rs
+++ b/compiler/rustc_trait_selection/src/traits/query/type_op/prove_predicate.rs
@@ -3,7 +3,6 @@ use rustc_middle::traits::ObligationCause;
 use rustc_middle::traits::query::NoSolution;
 pub use rustc_middle::traits::query::type_op::ProvePredicate;
 use rustc_middle::ty::{self, ParamEnvAnd, TyCtxt};
-use rustc_span::Span;
 
 use crate::infer::canonical::{CanonicalQueryInput, CanonicalQueryResponse};
 use crate::traits::{ObligationCtxt, sizedness_fast_path};
@@ -35,20 +34,6 @@ impl<'tcx> super::QueryTypeOp<'tcx> for ProvePredicate<'tcx> {
     ) -> Result<CanonicalQueryResponse<'tcx, ()>, NoSolution> {
         tcx.type_op_prove_predicate(canonicalized)
     }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-        span: Span,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        ocx.register_obligation(Obligation::new(
-            ocx.infcx.tcx,
-            ObligationCause::dummy_with_span(span),
-            key.param_env,
-            key.value.predicate,
-        ));
-        Ok(())
-    }
 }
 
 /// The core of the `type_op_prove_predicate` query: for diagnostics purposes in NLL HRTB errors,