diff --git a/src/sync/rwlock.rs b/src/sync/rwlock.rs
index 08d8ed849..89c043f4f 100644
--- a/src/sync/rwlock.rs
+++ b/src/sync/rwlock.rs
@@ -1,10 +1,10 @@
 use std::cell::UnsafeCell;
 use std::fmt;
+use std::future::Future;
 use std::isize;
 use std::ops::{Deref, DerefMut};
 use std::pin::Pin;
 use std::process;
-use std::future::Future;
 use std::sync::atomic::{AtomicUsize, Ordering};
 
 use crate::sync::WakerSet;
@@ -301,7 +301,11 @@ impl<T: ?Sized> RwLock<T> {
     /// # })
     /// ```
     pub fn try_write(&self) -> Option<RwLockWriteGuard<'_, T>> {
-        if self.state.compare_and_swap(0, WRITE_LOCK, Ordering::SeqCst) == 0 {
+        if self
+            .state
+            .compare_exchange(0, WRITE_LOCK, Ordering::SeqCst, Ordering::SeqCst)
+            .is_ok()
+        {
             Some(RwLockWriteGuard(self))
         } else {
             None
@@ -318,7 +322,10 @@ impl<T: ?Sized> RwLock<T> {
     /// let lock = RwLock::new(10);
     /// assert_eq!(lock.into_inner(), 10);
     /// ```
-    pub fn into_inner(self) -> T where T: Sized {
+    pub fn into_inner(self) -> T
+    where
+        T: Sized,
+    {
         self.value.into_inner()
     }
 
diff --git a/src/task/task_local.rs b/src/task/task_local.rs
index 4e2ba8387..1661c0bb9 100644
--- a/src/task/task_local.rs
+++ b/src/task/task_local.rs
@@ -124,9 +124,9 @@ impl<T: Send + 'static> LocalKey<T> {
                 std::process::abort();
             }
 
-            match key.compare_and_swap(0, counter, Ordering::AcqRel) {
-                0 => counter,
-                k => k,
+            match key.compare_exchange(0, counter, Ordering::AcqRel, Ordering::Acquire) {
+                Ok(_) => counter,
+                Err(k) => k,
             }
         }