Compare 2 arrays with duplicate values in PostgreSQL

Question

I need to compare 2 arrays but with taking into account duplicate values counting.

Currently:

select array[1,2,3,3] <@ array[1,2,3]

=> true

select array[1,2,3,3] <@ array[1,2,3,3]

=> true

But what I need:

• array[1,2,3,3] vs array[1,2,3] should be false because array[1,2,3] has a 3 value missing.
• array[1,2,3,3] vs array[1,2,3,3] should be true.
• array[1,2,3,3] vs array[1,2,3,3,3] should be true.
• array[1,2,3,3] vs array[1,2,3,3,4,5] should be true.

=> All values in the left array need to be in the right array, including duplicate values...

Thanks!

EDIT : I found a possible solution:

SELECT ARRAY
    (
        SELECT UNNEST(a1)
        except all
        SELECT UNNEST(a2)
    )
FROM  (
        SELECT  array[1,2,3,3] AS a1
              , array[1,2,3] AS a2
      ) q;

If result not empty, values on left are not on right.