diff --git a/compiler/rustc_infer/src/infer/type_variable.rs b/compiler/rustc_infer/src/infer/type_variable.rs
index 2086483b94a71..6f6791804d326 100644
--- a/compiler/rustc_infer/src/infer/type_variable.rs
+++ b/compiler/rustc_infer/src/infer/type_variable.rs
@@ -238,6 +238,9 @@ impl<'tcx> ut::UnifyKey for TyVidEqKey<'tcx> {
     fn tag() -> &'static str {
         "TyVidEqKey"
     }
+    fn order_roots(a: Self, _: &Self::Value, b: Self, _: &Self::Value) -> Option<(Self, Self)> {
+        if a.vid.as_u32() < b.vid.as_u32() { Some((a, b)) } else { Some((b, a)) }
+    }
 }
 
 impl<'tcx> ut::UnifyValue for TypeVariableValue<'tcx> {
diff --git a/compiler/rustc_infer/src/infer/unify_key.rs b/compiler/rustc_infer/src/infer/unify_key.rs
index 3ba8aea1d3a05..5e5d0e063a0d7 100644
--- a/compiler/rustc_infer/src/infer/unify_key.rs
+++ b/compiler/rustc_infer/src/infer/unify_key.rs
@@ -137,6 +137,9 @@ impl<'tcx> UnifyKey for ConstVidKey<'tcx> {
     fn tag() -> &'static str {
         "ConstVidKey"
     }
+    fn order_roots(a: Self, _: &Self::Value, b: Self, _: &Self::Value) -> Option<(Self, Self)> {
+        if a.vid.as_u32() < b.vid.as_u32() { Some((a, b)) } else { Some((b, a)) }
+    }
 }
 
 impl<'tcx> UnifyValue for ConstVariableValue<'tcx> {
diff --git a/compiler/rustc_type_ir/src/ty_kind.rs b/compiler/rustc_type_ir/src/ty_kind.rs
index 0cd98b5aa53b4..9669772d1a681 100644
--- a/compiler/rustc_type_ir/src/ty_kind.rs
+++ b/compiler/rustc_type_ir/src/ty_kind.rs
@@ -771,23 +771,6 @@ pub enum InferTy {
     FreshFloatTy(u32),
 }
 
-/// Raw `TyVid` are used as the unification key for `sub_relations`;
-/// they carry no values.
-impl UnifyKey for TyVid {
-    type Value = ();
-    #[inline]
-    fn index(&self) -> u32 {
-        self.as_u32()
-    }
-    #[inline]
-    fn from_index(i: u32) -> TyVid {
-        TyVid::from_u32(i)
-    }
-    fn tag() -> &'static str {
-        "TyVid"
-    }
-}
-
 impl UnifyValue for IntVarValue {
     type Error = NoError;