diff --git a/src/core/CCFun.ml b/src/core/CCFun.ml
index 0796dee4..fb762291 100644
--- a/src/core/CCFun.ml
+++ b/src/core/CCFun.ml
@@ -14,19 +14,14 @@ let opaque_identity x = x
 
 include Sys
 include CCShims_.Stdlib
+include Fun
 
 let compose f g x = g (f x)
 
 let compose_binop f g x y = g (f x) (f y)
 
-let flip f x y = f y x
-
 let curry f x y = f (x,y)
 
-let id x = x
-
-let const x _ = x
-
 let uncurry f (x,y) = f x y
 
 let tap f x = ignore (f x); x
diff --git a/src/core/CCFun.mli b/src/core/CCFun.mli
index d7d4713f..66a39de3 100644
--- a/src/core/CCFun.mli
+++ b/src/core/CCFun.mli
@@ -3,6 +3,8 @@
 
 (** {1 Basic Functions} *)
 
+include module type of CCShims_.Stdlib.Fun
+
 val (|>) : 'a -> ('a -> 'b) -> 'b
 (** A 'pipe' operator. [x |> f] is the same as [f x]. *)
 
@@ -22,16 +24,6 @@ val (@@) : ('a -> 'b) -> 'a -> 'b
 (** [f @@ x] is the same as [f x], but right-associative.
     @since 0.5 *)
 
-val id : 'a -> 'a
-(** Identity function. *)
-
-val const : 'a -> 'b -> 'a
-(** Produce a function that just returns its first argument.
-    [const x y = x] for any [y]. *)
-
-val flip : ('a -> 'b -> 'c) -> 'b -> 'a -> 'c
-(** Reverse the order of arguments for a binary function. *)
-
 val curry : ('a * 'b -> 'c) -> 'a -> 'b -> 'c
 (** Convert a function which accepts a pair of arguments into a function which accepts two arguments.
     [curry f x y] is [f (x,y)]. *)