diff --git a/library/core/src/mem/manually_drop.rs b/library/core/src/mem/manually_drop.rs
index 920f5e9c0bd28..e45aa86c0795a 100644
--- a/library/core/src/mem/manually_drop.rs
+++ b/library/core/src/mem/manually_drop.rs
@@ -56,9 +56,9 @@ use crate::ptr;
 /// working with [pinned] data, where reusing the memory without calling the destructor could lead
 /// to Undefined Behaviour.
 ///
-/// [`mem::zeroed`]: fn.zeroed.html
-/// [`MaybeUninit<T>`]: union.MaybeUninit.html
-/// [pinned]: ../pin/index.html
+/// [`mem::zeroed`]: crate::mem::zeroed
+/// [`MaybeUninit<T>`]: crate::mem::MaybeUninit
+/// [pinned]: crate::pin
 #[stable(feature = "manually_drop", since = "1.20.0")]
 #[lang = "manually_drop"]
 #[derive(Copy, Clone, Debug, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
@@ -116,8 +116,6 @@ impl<T> ManuallyDrop<T> {
     /// leaving the state of this container unchanged.
     /// It is your responsibility to ensure that this `ManuallyDrop` is not used again.
     ///
-    /// [`ManuallyDrop::drop`]: #method.drop
-    /// [`ManuallyDrop::into_inner`]: #method.into_inner
     #[must_use = "if you don't need the value, you can use `ManuallyDrop::drop` instead"]
     #[stable(feature = "manually_drop_take", since = "1.42.0")]
     #[inline]
@@ -148,9 +146,7 @@ impl<T: ?Sized> ManuallyDrop<T> {
     /// This is normally prevented by the type system, but users of `ManuallyDrop` must
     /// uphold those guarantees without assistance from the compiler.
     ///
-    /// [`ManuallyDrop::into_inner`]: #method.into_inner
-    /// [`ptr::drop_in_place`]: ../ptr/fn.drop_in_place.html
-    /// [pinned]: ../pin/index.html
+    /// [pinned]: crate::pin
     #[stable(feature = "manually_drop", since = "1.20.0")]
     #[inline]
     pub unsafe fn drop(slot: &mut ManuallyDrop<T>) {
diff --git a/library/core/src/mem/maybe_uninit.rs b/library/core/src/mem/maybe_uninit.rs
index 027498d3911c8..d2d65fd2fa517 100644
--- a/library/core/src/mem/maybe_uninit.rs
+++ b/library/core/src/mem/maybe_uninit.rs
@@ -247,7 +247,7 @@ impl<T> MaybeUninit<T> {
     /// Note that dropping a `MaybeUninit<T>` will never call `T`'s drop code.
     /// It is your responsibility to make sure `T` gets dropped if it got initialized.
     ///
-    /// [`assume_init`]: #method.assume_init
+    /// [`assume_init`]: MaybeUninit::assume_init
     #[stable(feature = "maybe_uninit", since = "1.36.0")]
     #[rustc_const_stable(feature = "const_maybe_uninit", since = "1.36.0")]
     #[inline(always)]
@@ -525,7 +525,7 @@ impl<T> MaybeUninit<T> {
     /// to ensure that that data may indeed be duplicated.
     ///
     /// [inv]: #initialization-invariant
-    /// [`assume_init`]: #method.assume_init
+    /// [`assume_init`]: MaybeUninit::assume_init
     ///
     /// # Examples
     ///