diff --git a/library/core/src/lib.rs b/library/core/src/lib.rs
index b54680a61b4d8..b253c0696a0d6 100644
--- a/library/core/src/lib.rs
+++ b/library/core/src/lib.rs
@@ -281,10 +281,11 @@
 #[allow(unused_extern_crates)]
 extern crate self as core;
 
+#[allow(unused_imports)]
+use crate::marker::FnPtr;
 #[prelude_import]
 #[allow(unused)]
 use prelude::v1::*;
-
 #[cfg(not(test))] // See #65860
 #[macro_use]
 mod macros;
@@ -453,5 +454,4 @@ pub mod simd {
     #[unstable(feature = "portable_simd", issue = "86656")]
     pub use crate::core_simd::simd::*;
 }
-
 include!("primitive_docs.rs");
diff --git a/library/core/src/primitive_docs.rs b/library/core/src/primitive_docs.rs
index 85595b059ad9a..222c0794b756f 100644
--- a/library/core/src/primitive_docs.rs
+++ b/library/core/src/primitive_docs.rs
@@ -1655,6 +1655,7 @@ mod prim_ref {}
 /// * [`Clone`]
 /// * [`Copy`]
 /// * [`Send`]
+/// * [`Sized`]
 /// * [`Sync`]
 /// * [`Unpin`]
 /// * [`UnwindSafe`]
@@ -1674,3 +1675,38 @@ mod prim_fn {}
 // See src/librustdoc/passes/collect_trait_impls.rs:collect_trait_impls
 #[doc(hidden)]
 impl<Ret, T> fn(T) -> Ret {}
+
+// Fake impl that's only really used for docs.
+#[cfg(doc)]
+#[stable(feature = "rust1", since = "1.0.0")]
+#[doc(fake_variadic)]
+/// This trait is implemented on all function pointers.
+impl<Ret, T> Clone for fn(T) -> Ret {
+    fn clone(&self) -> Self {
+        loop {}
+    }
+}
+
+// Fake impl that's only really used for docs.
+#[cfg(doc)]
+#[stable(feature = "rust1", since = "1.0.0")]
+#[doc(fake_variadic)]
+/// This trait is implemented on all function pointers.
+impl<Ret, T> Copy for fn(T) -> Ret {
+    // empty
+}
+
+// Fake impl that's only really used for docs.
+#[cfg(doc)]
+#[unstable(
+    feature = "fn_ptr_trait",
+    issue = "none",
+    reason = "internal trait for implementing various traits for all function pointers"
+)]
+#[doc(fake_variadic)]
+/// This trait is implemented on all function pointers.
+impl<Ret, T> FnPtr for fn(T) -> Ret {
+    fn addr(self) -> *const () {
+        // empty
+    }
+}
diff --git a/library/std/src/lib.rs b/library/std/src/lib.rs
index 571e475c33672..4a85c484db2c7 100644
--- a/library/std/src/lib.rs
+++ b/library/std/src/lib.rs
@@ -381,6 +381,7 @@
 #![feature(const_format_args)]
 #![feature(custom_test_frameworks)]
 #![feature(edition_panic)]
+#![feature(fn_ptr_trait)]
 #![feature(format_args_nl)]
 #![feature(get_many_mut)]
 #![feature(lazy_cell)]
@@ -408,10 +409,11 @@
 
 // Explicitly import the prelude. The compiler uses this same unstable attribute
 // to import the prelude implicitly when building crates that depend on std.
+#[allow(unused_imports)]
+use crate::marker::FnPtr;
 #[prelude_import]
 #[allow(unused)]
 use prelude::rust_2021::*;
-
 // Access to Bencher, etc.
 #[cfg(test)]
 extern crate test;