diff --git a/library/std/src/thread/local.rs b/library/std/src/thread/local.rs
index 0ad014ccd3e2e..797feeb2bbb5f 100644
--- a/library/std/src/thread/local.rs
+++ b/library/std/src/thread/local.rs
@@ -8,8 +8,8 @@ use crate::fmt;
 
 /// A thread local storage (TLS) key which owns its contents.
 ///
-/// This key uses the fastest possible implementation available to it for the
-/// target platform. It is instantiated with the [`thread_local!`] macro and the
+/// This key uses the fastest implementation available on the target platform.
+/// It is instantiated with the [`thread_local!`] macro and the
 /// primary method is the [`with`] method, though there are helpers to make
 /// working with [`Cell`] types easier.
 ///
@@ -24,10 +24,10 @@ use crate::fmt;
 /// [`with`]) within a thread, and values that implement [`Drop`] get
 /// destructed when a thread exits. Some platform-specific caveats apply, which
 /// are explained below.
-/// Note that, should the destructor panics, the whole process will be [aborted].
+/// Note that if the destructor panics, the whole process will be [aborted].
 ///
 /// A `LocalKey`'s initializer cannot recursively depend on itself. Using a
-/// `LocalKey` in this way may cause panics, aborts or infinite recursion on
+/// `LocalKey` in this way may cause panics, aborts, or infinite recursion on
 /// the first call to `with`.
 ///
 /// [aborted]: crate::process::abort