diff --git a/compiler/rustc_passes/src/stability.rs b/compiler/rustc_passes/src/stability.rs
index 78afa2f25f8..af49d438a22 100644
--- a/compiler/rustc_passes/src/stability.rs
+++ b/compiler/rustc_passes/src/stability.rs
@@ -536,6 +536,14 @@ impl<'tcx> MissingStabilityAnnotations<'tcx> {
             return;
         }
 
+        // if the const impl is derived using the `derive_const` attribute,
+        // then it would be "stable" at least for the impl.
+        // We gate usages of it using `feature(const_trait_impl)` anyways
+        // so there is no unstable leakage
+        if self.tcx.is_builtin_derive(def_id.to_def_id()) {
+            return;
+        }
+
         let is_const = self.tcx.is_const_fn(def_id.to_def_id())
             || self.tcx.is_const_trait_impl_raw(def_id.to_def_id());
         let is_stable = self
diff --git a/library/core/src/cmp.rs b/library/core/src/cmp.rs
index f0fa2e1d2c1..5db5cbfc3df 100644
--- a/library/core/src/cmp.rs
+++ b/library/core/src/cmp.rs
@@ -24,6 +24,7 @@
 
 use crate::const_closure::ConstFnMutClosure;
 use crate::marker::Destruct;
+#[cfg(bootstrap)]
 use crate::marker::StructuralPartialEq;
 
 use self::Ordering::*;
@@ -331,6 +332,7 @@ pub struct AssertParamIsEq<T: Eq + ?Sized> {
 /// assert_eq!(Ordering::Greater, result);
 /// ```
 #[derive(Clone, Copy, Eq, Debug, Hash)]
+#[cfg_attr(not(bootstrap), derive_const(PartialOrd, Ord, PartialEq))]
 #[stable(feature = "rust1", since = "1.0.0")]
 #[repr(i8)]
 pub enum Ordering {
@@ -877,10 +879,12 @@ pub macro Ord($item:item) {
 }
 
 #[stable(feature = "rust1", since = "1.0.0")]
+#[cfg(bootstrap)]
 impl StructuralPartialEq for Ordering {}
 
 #[stable(feature = "rust1", since = "1.0.0")]
 #[rustc_const_unstable(feature = "const_cmp", issue = "92391")]
+#[cfg(bootstrap)]
 impl const PartialEq for Ordering {
     #[inline]
     fn eq(&self, other: &Self) -> bool {
@@ -890,6 +894,7 @@ impl const PartialEq for Ordering {
 
 #[stable(feature = "rust1", since = "1.0.0")]
 #[rustc_const_unstable(feature = "const_cmp", issue = "92391")]
+#[cfg(bootstrap)]
 impl const Ord for Ordering {
     #[inline]
     fn cmp(&self, other: &Ordering) -> Ordering {
@@ -899,6 +904,7 @@ impl const Ord for Ordering {
 
 #[stable(feature = "rust1", since = "1.0.0")]
 #[rustc_const_unstable(feature = "const_cmp", issue = "92391")]
+#[cfg(bootstrap)]
 impl const PartialOrd for Ordering {
     #[inline]
     fn partial_cmp(&self, other: &Ordering) -> Option<Ordering> {
diff --git a/library/core/src/lib.rs b/library/core/src/lib.rs
index 5dc7427bee0..84253548378 100644
--- a/library/core/src/lib.rs
+++ b/library/core/src/lib.rs
@@ -185,6 +185,7 @@
 #![feature(const_refs_to_cell)]
 #![feature(decl_macro)]
 #![feature(deprecated_suggestion)]
+#![cfg_attr(not(bootstrap), feature(derive_const))]
 #![feature(doc_cfg)]
 #![feature(doc_notable_trait)]
 #![feature(rustdoc_internals)]