diff --git a/pep-0541.txt b/pep-0541.txt
index 68a0c7032..ec1991ec8 100644
--- a/pep-0541.txt
+++ b/pep-0541.txt
@@ -112,8 +112,8 @@ are met:
   above;
 * the candidate is able to demonstrate own failed attempts to contact
   the existing owner;
-* the candidate is able to demonstrate skin in the game (improvements
-  made on the candidate's own fork of the project);
+* the candidate is able to demonstrate improvements made on the
+  candidate's own fork of the project;
 * the candidate is able to demonstrate why a fork under a different name
   is not an acceptable workaround; and
 * the maintainers of the Package Index don't have any additional
@@ -137,9 +137,8 @@ of reusing the name when ALL of the following are met:
   above;
 * the candidate is able to demonstrate own failed attempts to contact
   the existing owner;
-* the candidate is able to demonstrate skin in the game (the other
-  project suggested to reuse the name already exists and meets
-  notability requirements);
+* the candidate is able to demonstrate that the project suggested to
+  reuse the name already exists and meets notability requirements;
 * the candidate is able to demonstrate why a fork under a different name
   is not an acceptable workaround;
 * download statistics on the Package Index for the existing package