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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?.
SET
CREATE TABLE
INSERT 0 1000
CREATE INDEX
VACUUM
QUERY PLAN
Seq Scan on demo (cost=0.00..17.50 rows=1 width=8)
  Filter: (a = 999)
EXPLAIN
QUERY PLAN
Index Only Scan using demo_ba on demo (cost=0.28..4.29 rows=1 width=8)
  Index Cond: (b = 999)
EXPLAIN
QUERY PLAN
Index Only Scan using demo_ba on demo (cost=0.28..4.29 rows=1 width=8)
  Index Cond: ((b = 999) AND (a = 999))
EXPLAIN
QUERY PLAN
Index Only Scan using demo_ba on demo (cost=0.28..4.29 rows=1 width=8)
  Index Cond: ((b > 999) AND (a = 999))
EXPLAIN
QUERY PLAN
Index Only Scan using demo_ba on demo (cost=0.28..4.29 rows=1 width=8)
  Index Cond: ((b = 999) AND (a > 999))
EXPLAIN
QUERY PLAN
Index Only Scan using demo_ba on demo (cost=0.28..4.29 rows=1 width=8)
  Index Cond: ((b > 999) AND (a > 999))
EXPLAIN