diff --git a/library/std/src/sync/barrier.rs b/library/std/src/sync/barrier.rs
index 8d3e30dbd45..eab26b6c715 100644
--- a/library/std/src/sync/barrier.rs
+++ b/library/std/src/sync/barrier.rs
@@ -150,8 +150,8 @@ impl fmt::Debug for BarrierWaitResult {
 }
 
 impl BarrierWaitResult {
-    /// Returns `true` if this thread from [`Barrier::wait()`] is the
-    /// "leader thread".
+    /// Returns `true` if this thread is the "leader thread" for the call to
+    /// [`Barrier::wait()`].
     ///
     /// Only one thread will have `true` returned from their result, all other
     /// threads will have `false` returned.
diff --git a/library/std/src/sync/once.rs b/library/std/src/sync/once.rs
index ee8902bf764..de5ddf1daf2 100644
--- a/library/std/src/sync/once.rs
+++ b/library/std/src/sync/once.rs
@@ -95,8 +95,7 @@ use crate::thread::{self, Thread};
 
 /// A synchronization primitive which can be used to run a one-time global
 /// initialization. Useful for one-time initialization for FFI or related
-/// functionality. This type can only be constructed with the [`Once::new()`]
-/// constructor.
+/// functionality. This type can only be constructed with [`Once::new()`].
 ///
 /// # Examples
 ///