diff --git a/core/lib/Drupal/Component/README.txt b/core/lib/Drupal/Component/README.txt
index 694f233369b..5b0631842dc 100644
--- a/core/lib/Drupal/Component/README.txt
+++ b/core/lib/Drupal/Component/README.txt
@@ -1,7 +1,7 @@
 Drupal Components are independent libraries that do not depend on the rest of
 Drupal in order to function.  Components MAY depend on other Components, but
 that is discouraged. Components MAY NOT depend on any code that is not part of
-PHP itself or another Drupal component.
+PHP itself or another Drupal Component.
 
 Each Component should be in its own namespace, and should be as self-contained
 as possible.  It should be possible to split a Component off to its own
diff --git a/core/lib/Drupal/Core/README.txt b/core/lib/Drupal/Core/README.txt
index 2ca1bbca00d..80cbf0e98de 100644
--- a/core/lib/Drupal/Core/README.txt
+++ b/core/lib/Drupal/Core/README.txt
@@ -1,6 +1,6 @@
-Code in the Core namespace represents Drupal subsystems provided by the base
-system.  These subsystems MAY depend on Drupal Components and other Subsystems,
-but MAY NOT depend on any code in a module.
+Code in the Drupal\Core namespace represents Drupal Subsystems provided by the
+base system.  These subsystems MAY depend on Drupal Components and other
+Subsystems, but MAY NOT depend on any code in a module.
 
-Each Component should be in its own namespace, and should be as self-contained
+Each Subsystem should be in its own namespace, and should be as self-contained
 as possible.