diff --git a/library/core/src/cell/lazy.rs b/library/core/src/cell/lazy.rs
index 7844be5f783a9..b355d94ce4976 100644
--- a/library/core/src/cell/lazy.rs
+++ b/library/core/src/cell/lazy.rs
@@ -4,6 +4,10 @@ use crate::ops::Deref;
 
 /// A value which is initialized on the first access.
 ///
+/// For a thread-safe version of this struct, see [`std::sync::LazyLock`].
+///
+/// [`std::sync::LazyLock`]: ../../std/sync/struct.LazyLock.html
+///
 /// # Examples
 ///
 /// ```
diff --git a/library/core/src/cell/once.rs b/library/core/src/cell/once.rs
index 3c39394dd8c8e..8c01643c7ac17 100644
--- a/library/core/src/cell/once.rs
+++ b/library/core/src/cell/once.rs
@@ -4,8 +4,14 @@ use crate::mem;
 
 /// A cell which can be written to only once.
 ///
-/// Unlike `RefCell`, a `OnceCell` only provides shared `&T` references to its value.
-/// Unlike `Cell`, a `OnceCell` doesn't require copying or replacing the value to access it.
+/// Unlike [`RefCell`], a `OnceCell` only provides shared `&T` references to its value.
+/// Unlike [`Cell`], a `OnceCell` doesn't require copying or replacing the value to access it.
+///
+/// For a thread-safe version of this struct, see [`std::sync::OnceLock`].
+///
+/// [`RefCell`]: crate::cell::RefCell
+/// [`Cell`]: crate::cell::Cell
+/// [`std::sync::OnceLock`]: ../../std/sync/struct.OnceLock.html
 ///
 /// # Examples
 ///
diff --git a/library/std/src/sync/lazy_lock.rs b/library/std/src/sync/lazy_lock.rs
index 535cc1c42fcfd..c8d3289ca4a06 100644
--- a/library/std/src/sync/lazy_lock.rs
+++ b/library/std/src/sync/lazy_lock.rs
@@ -6,7 +6,9 @@ use crate::sync::OnceLock;
 
 /// A value which is initialized on the first access.
 ///
-/// This type is a thread-safe `Lazy`, and can be used in statics.
+/// This type is a thread-safe [`LazyCell`], and can be used in statics.
+///
+/// [`LazyCell`]: crate::cell::LazyCell
 ///
 /// # Examples
 ///
diff --git a/library/std/src/sync/once_lock.rs b/library/std/src/sync/once_lock.rs
index 37413ec62a717..16d1fd2a576b9 100644
--- a/library/std/src/sync/once_lock.rs
+++ b/library/std/src/sync/once_lock.rs
@@ -7,7 +7,9 @@ use crate::sync::Once;
 
 /// A synchronization primitive which can be written to only once.
 ///
-/// This type is a thread-safe `OnceCell`.
+/// This type is a thread-safe [`OnceCell`], and can be used in statics.
+///
+/// [`OnceCell`]: crate::cell::OnceCell
 ///
 /// # Examples
 ///
@@ -33,7 +35,7 @@ use crate::sync::Once;
 #[unstable(feature = "once_cell", issue = "74465")]
 pub struct OnceLock<T> {
     once: Once,
-    // Whether or not the value is initialized is tracked by `state_and_queue`.
+    // Whether or not the value is initialized is tracked by `once.is_completed()`.
     value: UnsafeCell<MaybeUninit<T>>,
     /// `PhantomData` to make sure dropck understands we're dropping T in our Drop impl.
     ///