diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index 843b602a12823..87f25f578c3c6 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -1201,9 +1201,11 @@ def equals(self, other):
 
         This function allows two Series or DataFrames to be compared against
         each other to see if they have the same shape and elements. NaNs in
-        the same location are considered equal. The column headers do not
-        need to have the same type, but the elements within the columns must
-        be the same dtype.
+        the same location are considered equal.
+
+        The row/column index do not need to have the same type, as long
+        as the values are considered equal. Corresponding columns must be of
+        the same dtype.
 
         Parameters
         ----------
@@ -1232,13 +1234,6 @@ def equals(self, other):
         numpy.array_equal : Return True if two arrays have the same shape
             and elements, False otherwise.
 
-        Notes
-        -----
-        This function requires that the elements have the same dtype as their
-        respective elements in the other Series or DataFrame. However, the
-        column labels do not need to have the same type, as long as they are
-        still considered equal.
-
         Examples
         --------
         >>> df = pd.DataFrame({1: [10], 2: [20]})