diff --git a/src/libcore/iter/traits/double_ended.rs b/src/libcore/iter/traits/double_ended.rs
index f6329c6c593..851a1e49a49 100644
--- a/src/libcore/iter/traits/double_ended.rs
+++ b/src/libcore/iter/traits/double_ended.rs
@@ -106,8 +106,7 @@ pub trait DoubleEndedIterator: Iterator {
     /// `nth_back()` will return [`None`] if `n` is greater than or equal to the length of the
     /// iterator.
     ///
-    /// [`None`]: ../../std/option/enum.Option.html#variant.None
-    /// [`nth`]: ../../std/iter/trait.Iterator.html#method.nth
+    /// [`nth`]: crate::iter::Iterator::nth
     ///
     /// # Examples
     ///
@@ -274,8 +273,7 @@ pub trait DoubleEndedIterator: Iterator {
     /// argument is a double reference. You can see this effect in the
     /// examples below, with `&&x`.
     ///
-    /// [`Some(element)`]: ../../std/option/enum.Option.html#variant.Some
-    /// [`None`]: ../../std/option/enum.Option.html#variant.None
+    /// [`Some(element)`]: Some
     ///
     /// # Examples
     ///