diff --git a/libraries/Either.elm b/libraries/Either.elm
index 06afb49..c722774 100644
--- a/libraries/Either.elm
+++ b/libraries/Either.elm
@@ -26,28 +26,50 @@ data Either a b = Left a | Right b
 
 {-| Apply the first function to a `Left` and the second function to a `Right`.
 This allows the extraction of a value from an `Either`.
+
+      either (\n -> n + 1) sqrt (Left  4) == 5
+      either (\n -> n + 1) sqrt (Right 4) == 2
+
+      map : (a -> b) -> Either err a -> Either err b
+      map f e = either Left (\x -> Right (f x)) e
 -}
 either : (a -> c) -> (b -> c) -> Either a b -> c
 either f g e = case e of { Left x -> f x ; Right y -> g y }
 
-{-| True if the value is a `Left`. -}
+{-| True if the value is a `Left`.
+
+      isLeft (Left "Cat") == True
+      isLeft (Right 1123) == False
+-}
 isLeft : Either a b -> Bool
 isLeft e = case e of { Left  _ -> True ; _ -> False }
 
-{-| True if the value is a `Right`. -}
+{-| True if the value is a `Right`.
+
+      isRight (Left "Cat") == False
+      isRight (Right 1123) == True
+-}
 isRight : Either a b -> Bool
 isRight e = case e of { Right _ -> True ; _ -> False }
 
-{-| Keep only the values held in `Left` values. -}
+{-| Keep only the values held in `Left` values.
+
+      lefts [Left 3, Right 'a', Left 5, Right "eight"] == [3,5]
+-}
 lefts : [Either a b] -> [a]
 lefts es = List.foldr consLeft [] es
 
-{-| Keep only the values held in `Right` values. -}
+{-| Keep only the values held in `Right` values.
+
+      rights [Left 3, Right 'a', Left 5, Right 'b'] == ['a','b']
+-}
 rights : [Either a b] -> [b]
 rights es = List.foldr consRight [] es
 
 {-| Split into two lists, lefts on the left and rights on the right. So we
 have the equivalence: `(partition es == (lefts es, rights es))`
+
+      partition [Left 3, Right 'a', Left 5, Right 'b'] == ([3,5],['a','b'])
 -}
 partition : [Either a b] -> ([a],[b])
 partition es = List.foldr consEither ([],[]) es