diff --git a/compiler/rustc_middle/src/query/mod.rs b/compiler/rustc_middle/src/query/mod.rs
index 075eae02904..92c8d265c09 100644
--- a/compiler/rustc_middle/src/query/mod.rs
+++ b/compiler/rustc_middle/src/query/mod.rs
@@ -65,10 +65,9 @@
 };
 use crate::traits::query::{
     CanonicalAliasGoal, CanonicalPredicateGoal, CanonicalTyGoal,
-    CanonicalTypeOpAscribeUserTypeGoal, CanonicalTypeOpEqGoal, CanonicalTypeOpNormalizeGoal,
-    CanonicalTypeOpProvePredicateGoal, CanonicalTypeOpSubtypeGoal, DropckConstraint,
-    DropckOutlivesResult, MethodAutoderefStepsResult, NoSolution, NormalizationResult,
-    OutlivesBound,
+    CanonicalTypeOpAscribeUserTypeGoal, CanonicalTypeOpNormalizeGoal,
+    CanonicalTypeOpProvePredicateGoal, DropckConstraint, DropckOutlivesResult,
+    MethodAutoderefStepsResult, NoSolution, NormalizationResult, OutlivesBound,
 };
 use crate::traits::{
     specialization_graph, CodegenObligationError, EvaluationResult, ImplSource,
@@ -2090,26 +2089,6 @@
         desc { "evaluating `type_op_ascribe_user_type` `{:?}`", goal.value.value }
     }
 
-    /// Do not call this query directly: part of the `Eq` type-op
-    query type_op_eq(
-        goal: CanonicalTypeOpEqGoal<'tcx>
-    ) -> Result<
-        &'tcx Canonical<'tcx, canonical::QueryResponse<'tcx, ()>>,
-        NoSolution,
-    > {
-        desc { "evaluating `type_op_eq` `{:?}`", goal.value.value }
-    }
-
-    /// Do not call this query directly: part of the `Subtype` type-op
-    query type_op_subtype(
-        goal: CanonicalTypeOpSubtypeGoal<'tcx>
-    ) -> Result<
-        &'tcx Canonical<'tcx, canonical::QueryResponse<'tcx, ()>>,
-        NoSolution,
-    > {
-        desc { "evaluating `type_op_subtype` `{:?}`", goal.value.value }
-    }
-
     /// Do not call this query directly: part of the `ProvePredicate` type-op
     query type_op_prove_predicate(
         goal: CanonicalTypeOpProvePredicateGoal<'tcx>
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/eq.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/eq.rs
deleted file mode 100644
index 656130cda19..00000000000
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/eq.rs
+++ /dev/null
@@ -1,33 +0,0 @@
-pub use rustc_middle::traits::query::type_op::Eq;
-use rustc_middle::traits::query::NoSolution;
-use rustc_middle::traits::ObligationCause;
-use rustc_middle::ty::{ParamEnvAnd, TyCtxt};
-
-use crate::infer::canonical::{Canonical, CanonicalQueryResponse};
-use crate::traits::ObligationCtxt;
-
-impl<'tcx> super::QueryTypeOp<'tcx> for Eq<'tcx> {
-    type QueryResponse = ();
-
-    fn try_fast_path(
-        _tcx: TyCtxt<'tcx>,
-        key: &ParamEnvAnd<'tcx, Eq<'tcx>>,
-    ) -> Option<Self::QueryResponse> {
-        if key.value.a == key.value.b { Some(()) } else { None }
-    }
-
-    fn perform_query(
-        tcx: TyCtxt<'tcx>,
-        canonicalized: Canonical<'tcx, ParamEnvAnd<'tcx, Self>>,
-    ) -> Result<CanonicalQueryResponse<'tcx, ()>, NoSolution> {
-        tcx.type_op_eq(canonicalized)
-    }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        ocx.eq(&ObligationCause::dummy(), key.param_env, key.value.a, key.value.b)?;
-        Ok(())
-    }
-}
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 2f64ed963f9..791424065d1 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
@@ -16,12 +16,10 @@
 
 pub mod ascribe_user_type;
 pub mod custom;
-pub mod eq;
 pub mod implied_outlives_bounds;
 pub mod normalize;
 pub mod outlives;
 pub mod prove_predicate;
-pub mod subtype;
 
 pub use rustc_middle::traits::query::type_op::*;
 
diff --git a/compiler/rustc_trait_selection/src/traits/query/type_op/subtype.rs b/compiler/rustc_trait_selection/src/traits/query/type_op/subtype.rs
deleted file mode 100644
index 892c2a1f113..00000000000
--- a/compiler/rustc_trait_selection/src/traits/query/type_op/subtype.rs
+++ /dev/null
@@ -1,30 +0,0 @@
-pub use rustc_middle::traits::query::type_op::Subtype;
-use rustc_middle::traits::query::NoSolution;
-use rustc_middle::traits::ObligationCause;
-use rustc_middle::ty::{ParamEnvAnd, TyCtxt};
-
-use crate::infer::canonical::{Canonical, CanonicalQueryResponse};
-use crate::traits::ObligationCtxt;
-
-impl<'tcx> super::QueryTypeOp<'tcx> for Subtype<'tcx> {
-    type QueryResponse = ();
-
-    fn try_fast_path(_tcx: TyCtxt<'tcx>, key: &ParamEnvAnd<'tcx, Self>) -> Option<()> {
-        if key.value.sub == key.value.sup { Some(()) } else { None }
-    }
-
-    fn perform_query(
-        tcx: TyCtxt<'tcx>,
-        canonicalized: Canonical<'tcx, ParamEnvAnd<'tcx, Self>>,
-    ) -> Result<CanonicalQueryResponse<'tcx, ()>, NoSolution> {
-        tcx.type_op_subtype(canonicalized)
-    }
-
-    fn perform_locally_with_next_solver(
-        ocx: &ObligationCtxt<'_, 'tcx>,
-        key: ParamEnvAnd<'tcx, Self>,
-    ) -> Result<Self::QueryResponse, NoSolution> {
-        ocx.sub(&ObligationCause::dummy(), key.param_env, key.value.sub, key.value.sup)?;
-        Ok(())
-    }
-}
diff --git a/compiler/rustc_traits/src/type_op.rs b/compiler/rustc_traits/src/type_op.rs
index 5affadaac38..f34adf85755 100644
--- a/compiler/rustc_traits/src/type_op.rs
+++ b/compiler/rustc_traits/src/type_op.rs
@@ -10,18 +10,14 @@
 use rustc_trait_selection::traits::query::type_op::ascribe_user_type::{
     type_op_ascribe_user_type_with_span, AscribeUserType,
 };
-use rustc_trait_selection::traits::query::type_op::eq::Eq;
 use rustc_trait_selection::traits::query::type_op::normalize::Normalize;
 use rustc_trait_selection::traits::query::type_op::prove_predicate::ProvePredicate;
-use rustc_trait_selection::traits::query::type_op::subtype::Subtype;
 use rustc_trait_selection::traits::{Normalized, Obligation, ObligationCause, ObligationCtxt};
 
 pub(crate) fn provide(p: &mut Providers) {
     *p = Providers {
         type_op_ascribe_user_type,
-        type_op_eq,
         type_op_prove_predicate,
-        type_op_subtype,
         type_op_normalize_ty,
         type_op_normalize_clause,
         type_op_normalize_fn_sig,
@@ -39,16 +35,6 @@ fn type_op_ascribe_user_type<'tcx>(
     })
 }
 
-fn type_op_eq<'tcx>(
-    tcx: TyCtxt<'tcx>,
-    canonicalized: Canonical<'tcx, ParamEnvAnd<'tcx, Eq<'tcx>>>,
-) -> Result<&'tcx Canonical<'tcx, QueryResponse<'tcx, ()>>, NoSolution> {
-    tcx.infer_ctxt().enter_canonical_trait_query(&canonicalized, |ocx, key| {
-        let (param_env, Eq { a, b }) = key.into_parts();
-        Ok(ocx.eq(&ObligationCause::dummy(), param_env, a, b)?)
-    })
-}
-
 fn type_op_normalize<'tcx, T>(
     ocx: &ObligationCtxt<'_, 'tcx>,
     key: ParamEnvAnd<'tcx, Normalize<T>>,
@@ -91,16 +77,6 @@ fn type_op_normalize_poly_fn_sig<'tcx>(
     tcx.infer_ctxt().enter_canonical_trait_query(&canonicalized, type_op_normalize)
 }
 
-fn type_op_subtype<'tcx>(
-    tcx: TyCtxt<'tcx>,
-    canonicalized: Canonical<'tcx, ParamEnvAnd<'tcx, Subtype<'tcx>>>,
-) -> Result<&'tcx Canonical<'tcx, QueryResponse<'tcx, ()>>, NoSolution> {
-    tcx.infer_ctxt().enter_canonical_trait_query(&canonicalized, |ocx, key| {
-        let (param_env, Subtype { sub, sup }) = key.into_parts();
-        Ok(ocx.sup(&ObligationCause::dummy(), param_env, sup, sub)?)
-    })
-}
-
 fn type_op_prove_predicate<'tcx>(
     tcx: TyCtxt<'tcx>,
     canonicalized: Canonical<'tcx, ParamEnvAnd<'tcx, ProvePredicate<'tcx>>>,