<< — Returns TRUE if A's bounding box is strictly to the left of B's.
boolean <<( geometry  A ,  geometry  B );
The << operator returns TRUE if the bounding box of geometry A is strictly to the left of the bounding box of geometry B.
                 
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                 This operand will make use of any indexes that may be available on the geometries.  | 
            
SELECT tbl1.column1, tbl2.column1, tbl1.column2 << tbl2.column2 AS left
FROM
  ( VALUES
        (1, 'LINESTRING (1 2, 1 5)'::geometry)) AS tbl1,
  ( VALUES
        (2, 'LINESTRING (0 0, 4 3)'::geometry),
        (3, 'LINESTRING (6 0, 6 5)'::geometry),
        (4, 'LINESTRING (2 2, 5 6)'::geometry)) AS tbl2;
 column1 | column1 | left
---------+---------+------
           1 |       2 | f
           1 |       3 | t
           1 |       4 | t
(3 rows)