diff --git a/library/core/src/ops/drop.rs b/library/core/src/ops/drop.rs
index 0824753db75..ce7d1c3d06d 100644
--- a/library/core/src/ops/drop.rs
+++ b/library/core/src/ops/drop.rs
@@ -80,7 +80,7 @@
 ///
 /// If you'd like explicitly call the destructor of a value, [`mem::drop`] can be used instead.
 ///
-/// [`mem::drop`]: crate::mem::drop
+/// [`mem::drop`]: drop
 ///
 /// ## Drop order
 ///
@@ -132,8 +132,6 @@
 /// are `Copy` get implicitly duplicated by the compiler, making it very
 /// hard to predict when, and how often destructors will be executed. As such,
 /// these types cannot have destructors.
-///
-/// [`Copy`]: crate::marker::Copy
 #[lang = "drop"]
 #[stable(feature = "rust1", since = "1.0.0")]
 pub trait Drop {
@@ -160,7 +158,7 @@ pub trait Drop {
     ///
     /// [E0040]: ../../error-index.html#E0040
     /// [`panic!`]: crate::panic!
-    /// [`mem::drop`]: crate::mem::drop
+    /// [`mem::drop`]: drop
     /// [`ptr::drop_in_place`]: crate::ptr::drop_in_place
     #[stable(feature = "rust1", since = "1.0.0")]
     fn drop(&mut self);
diff --git a/library/core/src/ops/index.rs b/library/core/src/ops/index.rs
index 9c2da00ae2f..3c2ada57612 100644
--- a/library/core/src/ops/index.rs
+++ b/library/core/src/ops/index.rs
@@ -4,7 +4,6 @@
 /// but only when used as an immutable value. If a mutable value is requested,
 /// [`IndexMut`] is used instead. This allows nice things such as
 /// `let value = v[index]` if the type of `value` implements [`Copy`].
-/// [`Copy`]: crate::marker::Copy
 ///
 /// # Examples
 ///
diff --git a/library/core/src/ops/mod.rs b/library/core/src/ops/mod.rs
index ddcea46a552..c19bd6e441e 100644
--- a/library/core/src/ops/mod.rs
+++ b/library/core/src/ops/mod.rs
@@ -133,7 +133,7 @@
 //! // `consume_and_return_x` can no longer be invoked at this point
 //! ```
 //!
-//! [`clone`]: crate::clone::Clone::clone
+//! [`clone`]: Clone::clone
 //! [operator precedence]: ../../reference/expressions.html#expression-precedence
 
 #![stable(feature = "rust1", since = "1.0.0")]
diff --git a/library/core/src/ops/range.rs b/library/core/src/ops/range.rs
index 5614c30b43e..ccabd66aaf6 100644
--- a/library/core/src/ops/range.rs
+++ b/library/core/src/ops/range.rs
@@ -35,8 +35,6 @@ use crate::hash::Hash;
 /// assert_eq!(arr[1..=3], [  1,2,3  ]);
 /// ```
 ///
-/// [`IntoIterator`]: crate::iter::IntoIterator
-/// [`Iterator`]: crate::iter::Iterator
 /// [slicing index]: crate::slice::SliceIndex
 #[cfg_attr(not(bootstrap), lang = "RangeFull")]
 #[doc(alias = "..")]
@@ -178,8 +176,6 @@ impl<Idx: PartialOrd<Idx>> Range<Idx> {
 /// assert_eq!(arr[1.. 3], [  1,2    ]);
 /// assert_eq!(arr[1..=3], [  1,2,3  ]);
 /// ```
-///
-/// [`Iterator`]: crate::iter::IntoIterator
 #[cfg_attr(not(bootstrap), lang = "RangeFrom")]
 #[doc(alias = "..")]
 #[derive(Clone, PartialEq, Eq, Hash)] // not Copy -- see #27186
@@ -260,8 +256,6 @@ impl<Idx: PartialOrd<Idx>> RangeFrom<Idx> {
 /// assert_eq!(arr[1..=3], [  1,2,3  ]);
 /// ```
 ///
-/// [`IntoIterator`]: crate::iter::IntoIterator
-/// [`Iterator`]: crate::iter::Iterator
 /// [slicing index]: crate::slice::SliceIndex
 #[cfg_attr(not(bootstrap), lang = "RangeTo")]
 #[doc(alias = "..")]
@@ -558,8 +552,6 @@ impl<Idx: PartialOrd<Idx>> RangeInclusive<Idx> {
 /// assert_eq!(arr[1..=3], [  1,2,3  ]);
 /// ```
 ///
-/// [`IntoIterator`]: crate::iter::IntoIterator
-/// [`Iterator`]: crate::iter::Iterator
 /// [slicing index]: crate::slice::SliceIndex
 #[cfg_attr(not(bootstrap), lang = "RangeToInclusive")]
 #[doc(alias = "..=")]