diff --git a/library/core/src/cell/lazy.rs b/library/core/src/cell/lazy.rs
index 8c88f967aa23f..5bc13779af9f8 100644
--- a/library/core/src/cell/lazy.rs
+++ b/library/core/src/cell/lazy.rs
@@ -141,7 +141,7 @@ impl<T, F: FnOnce() -> T> LazyCell<T, F> {
         #[cold]
         /// # Safety
         /// May only be called when the state is `Uninit`.
-        unsafe fn really_init<T, F: FnOnce() -> T>(state: &mut State<T, F>) -> &mut T {
+        unsafe fn really_init_mut<T, F: FnOnce() -> T>(state: &mut State<T, F>) -> &mut T {
             // INVARIANT: Always valid, but the value may not be dropped.
             struct PoisonOnPanic<T, F>(*mut State<T, F>);
             impl<T, F> Drop for PoisonOnPanic<T, F> {
@@ -179,7 +179,7 @@ impl<T, F: FnOnce() -> T> LazyCell<T, F> {
         match state {
             State::Init(data) => data,
             // SAFETY: `state` is `Uninit`.
-            State::Uninit(_) => unsafe { really_init(state) },
+            State::Uninit(_) => unsafe { really_init_mut(state) },
             State::Poisoned => panic_poisoned(),
         }
     }
diff --git a/library/std/src/sync/lazy_lock.rs b/library/std/src/sync/lazy_lock.rs
index f6b6887cdbbd7..4b5ab810a8a96 100644
--- a/library/std/src/sync/lazy_lock.rs
+++ b/library/std/src/sync/lazy_lock.rs
@@ -156,7 +156,7 @@ impl<T, F: FnOnce() -> T> LazyLock<T, F> {
         #[cold]
         /// # Safety
         /// May only be called when the state is `Incomplete`.
-        unsafe fn really_init<T, F: FnOnce() -> T>(this: &mut LazyLock<T, F>) -> &mut T {
+        unsafe fn really_init_mut<T, F: FnOnce() -> T>(this: &mut LazyLock<T, F>) -> &mut T {
             struct PoisonOnPanic<'a, T, F>(&'a mut LazyLock<T, F>);
             impl<T, F> Drop for PoisonOnPanic<'_, T, F> {
                 #[inline]
@@ -184,7 +184,7 @@ impl<T, F: FnOnce() -> T> LazyLock<T, F> {
             // SAFETY: The `Once` states we completed the initialization.
             ExclusiveState::Complete => unsafe { &mut this.data.get_mut().value },
             // SAFETY: The state is `Incomplete`.
-            ExclusiveState::Incomplete => unsafe { really_init(this) },
+            ExclusiveState::Incomplete => unsafe { really_init_mut(this) },
         }
     }