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Help with an interesting Postgres question: Why isn't an Index Only Scan used on a partition accessed via the parent table?.
CREATE TABLE
INSERT 0 10000
CREATE INDEX
QUERY PLAN
Bitmap Heap Scan on tbl (cost=4.80..52.64 rows=50 width=32)
  Filter: (string ~ '^1234'::text)
  -> Bitmap Index Scan on tbl_string_text_pattern_idx (cost=0.00..4.79 rows=50 width=0)
        Index Cond: ((string ~>=~ '1234'::text) AND (string ~<~ '1235'::text))
EXPLAIN