diff --git a/doc/misc/cl.texi b/doc/misc/cl.texi
index 91ebf2b3862..75988cf825f 100644
--- a/doc/misc/cl.texi
+++ b/doc/misc/cl.texi
@@ -97,7 +97,7 @@ As Emacs Lisp programmers have grown in number, and the applications
 they write have grown more ambitious, it has become clear that Emacs
 Lisp could benefit from many of the conveniences of Common Lisp.
 
-The @dfn{CL} package adds a number of Common Lisp functions and
+The @dfn{CL-Lib} package adds a number of Common Lisp functions and
 control structures to Emacs Lisp.  While not a 100% complete
 implementation of Common Lisp, it adds enough functionality
 to make Emacs Lisp programming significantly more convenient.
diff --git a/doc/misc/eieio.texi b/doc/misc/eieio.texi
index 9182af41333..39225535089 100644
--- a/doc/misc/eieio.texi
+++ b/doc/misc/eieio.texi
@@ -1653,7 +1653,7 @@ This should create an unqualified method to access a slot, but
 instead pre-builds a method that gets the slot's value.
 
 @item :type
-Specifier uses the @code{typep} function from the @file{cl}
+Specifier uses the @code{cl-typep} function from the @file{cl-lib}
 package.  @xref{Type Predicates,,,cl,Common Lisp Extensions}.
 It therefore has the same issues as that package.  Extensions include
 the ability to provide object names.
@@ -1702,7 +1702,7 @@ Some important compatibility features that would be good to add are:
 @item
 Support for metaclasses.
 @item
-Improve integration with the @file{cl} package.
+Improve integration with the @file{cl-lib} package.
 @end enumerate
 
 There are also improvements to be made to allow @eieio{} to operate