How to determine if NULL is contained in an array in Postgres?

Question

How do I determine if NULL is contained in an array in Postgres? Currently using Postgres 9.3.3.

If I test with the following select it returns contains_null = false.

select ARRAY[NULL,1,2,3,4,NULL]::int[] @> ARRAY[NULL]::int[] AS contains_null
select ARRAY[NULL,1,2,3,4,NULL]::int[] @> NULL AS contains_null

I've also tried with:

1. @> (contains)
2. <@ (is contained by)
3. && (overlap)

Answer 1

One more construction, like @Clodoaldo Neto proposed. Just more compact expression:

CREATE TEMPORARY TABLE null_arrays (
      id serial primary key
    , array_data int[]
);

INSERT INTO null_arrays (array_data)
VALUES
      (ARRAY[1,2, NULL, 4, 5])
    , (ARRAY[1,2, 3, 4, 5])
    , (ARRAY[NULL,2, 3, NULL, 5])
;

SELECT 
    *
FROM 
    null_arrays
WHERE
    TRUE = ANY (SELECT unnest(array_data) IS NULL)
;

Answer 2

select exists (
    select 1 
    from unnest(array[1, null]) s(a)
    where a is null
);
 exists 
--------
 t

Or shorter:

select bool_or(a is null)
from unnest(array[1, null]) s(a)
;
 bool_or 
---------
 t