diff --git a/pep-0493.txt b/pep-0493.txt
index 8a1f3d218..5a56fd116 100644
--- a/pep-0493.txt
+++ b/pep-0493.txt
@@ -128,7 +128,7 @@ Feature: Configuration API
 ==========================
 
 This change is proposed for inclusion in CPython 2.7.12 and later CPython 2.7.x
-releases. It consists of a new ``ssl._verify_https_certificates()`` to specify
+releases. It consists of a new ``ssl._https_verify_certificates()`` to specify
 the default handling of HTTPS certificates in standard library client libraries.
 
 It is not proposed to forward port this change to Python 3, so Python 3
@@ -139,14 +139,14 @@ Feature detection
 -----------------
 
 The marker attribute on the ``ssl`` module related to this feature is the
-``ssl._verify_https_certificates`` function itself.
+``ssl._https_verify_certificates`` function itself.
 
 Specification
 -------------
 
-The ``ssl._verify_https_certificates`` function will work as follows::
+The ``ssl._https_verify_certificates`` function will work as follows::
 
-    def _verify_https_certificates(enable=True):
+    def _https_verify_certificates(enable=True):
         """Verify server HTTPS certificates by default?"""
         global _create_default_https_context
         if enable:
@@ -166,11 +166,11 @@ Security Considerations
 The inclusion of this feature will allow security sensitive applications to
 include the following forward-compatible snippet in their code::
 
-    if hasattr(ssl, "_verify_https_certificates"):
-        ssl._verify_https_certificates()
+    if hasattr(ssl, "_https_verify_certificates"):
+        ssl._https_verify_certificates()
 
 Some developers may also choose to opt out of certificate checking using
-``ssl._verify_https_certificates(enable=False)``. This doesn't introduce any
+``ssl._https_verify_certificates(enable=False)``. This doesn't introduce any
 major new security concerns, as monkeypatching the affected internal APIs was
 already possible.
 
@@ -449,7 +449,7 @@ Feature detection
 -----------------
 
 There's no specific attribute indicating that this situation applies. Rather,
-it is indicated by the ``ssl._verify_https_certificates`` and
+it is indicated by the ``ssl._https_verify_certificates`` and
 ``ssl._https_verify_envvar`` attributes being present in a Python version that
 is nominally older than Python 2.7.9.