diff --git a/src/batLazyList.ml b/src/batLazyList.ml
index 714b184f6..6c4fe715e 100644
--- a/src/batLazyList.ml
+++ b/src/batLazyList.ml
@@ -617,6 +617,21 @@ let for_all2 p l1 l2 =
     | (Cons _, Nil) | (Nil, Cons _) -> raise (Different_list_size "LazyList.for_all2")
   in aux l1 l2
 
+let equal eq l1 l2 =
+  let rec aux l1 l2 =
+    match (next l1, next l2) with
+    | (Cons (h1, t1), Cons (h2, t2)) -> eq h1 h2 && (aux t1 t2)
+    | (Nil, Nil)                    -> true
+    | (Cons _, Nil) | (Nil, Cons _) -> false
+  in aux l1 l2
+
+(*$T equal
+  equal (equal (=)) (init 3 (range 0)) (init 3 (range 0))
+  not (equal (equal (=)) (of_list [(of_list [0; 1; 2])]) (of_list [(of_list [0; 42; 2])]))
+  not (equal (=) (range 0 2) (range 0 3))
+  not (equal (=) (range 0 3) (range 0 2))
+*)
+
 let exists2 p l1 l2 =
   let rec aux l1 l2 =
     match (next l1, next l2) with
diff --git a/src/batLazyList.mli b/src/batLazyList.mli
index bbe204aad..324f038b1 100644
--- a/src/batLazyList.mli
+++ b/src/batLazyList.mli
@@ -582,6 +582,28 @@ val for_all2 : ('a -> 'b -> bool) -> 'a t -> 'b t -> bool
     @raise Different_list_size if the two lists have
     different lengths. *)
 
+val equal : ('a -> 'b -> bool) -> 'a t -> 'b t -> bool
+(** [equal eq s1 s2] compares elements of [s1] and [s2] pairwise using [eq]
+    and returns true if all elements pass the test and the lists have the same 
+    length; otherwise it returns false.  Examples:
+
+      {[
+        equal (=) (range 0 4) (range 0 4) (* true *)
+
+        (* Make lazy lists of lazy lists: *)
+        let s1 = init 5 (range 0) 
+        let s2 = init 5 (range 0) 
+        equal (equal (=)) s1 s2 (* true *)
+      ]}
+
+      (Calling [=] directly on a pair of lazy lists may succeed but is not
+      guaranteed to behave consistently.)
+
+      Note that on lists of equal length, [equal] and [for_all2] can perform
+      the same function; their intended uses differ, however, as signaled by
+      behavior on lists of different lengths.
+*)
+
 val exists2 : ('a -> 'b -> bool) -> 'a t -> 'b t -> bool
 (** Same as {!exists}, but for a two-argument predicate.
     @raise Different_list_size if the two lists have