Supplements and suggestions and about postgresql sequence setval function in the documents

in the following example;

select setval('seq_test',111);

---this setval('seq_test',111) :  update   the current schema's seq_test   last_value =111

select setval('schemalei.seq_test',222);

---this setval('seq_test',111) :  update   the  schemalei schema's seq_test  last_value =222

but in the setval document(https://www.postgresql.org/docs/current/functions-sequence.html), there is no description about it.

[pg164@localhost bin]$ ./psql -d postgres

psql (16.4)

Type "help" for help.

postgres=# \d

Did not find any relations.

postgres=# 

postgres=# 

postgres=# create schema schemalei;

CREATE SCHEMA

postgres=# create sequence public.seq_test ;

CREATE SEQUENCE

postgres=# create sequence schemalei.seq_test ;

CREATE SEQUENCE

postgres=# show search_path;

   search_path   

-----------------

 "$user", public

(1 row)

postgres=# \dus

                             List of roles

 Role name |                         Attributes                         

-----------+------------------------------------------------------------

 pg164     | Superuser, Create role, Create DB, Replication, Bypass RLS

postgres=# select * from pg_sequences;

 schemaname | sequencename | sequenceowner | data_type | start_value | min_value |      max_value      | increment_by | cycle | cache_size | last_value 

------------+--------------+---------------+-----------+-------------+-----------+---------------------+--------------+-------+------------+------------

 public     | seq_test     | pg164         | bigint    |           1 |         1 | 9223372036854775807 |            1 | f     |          1 |           

 schemalei  | seq_test     | pg164         | bigint    |           1 |         1 | 9223372036854775807 |            1 | f     |          1 |           

(2 rows)

postgres=# select setval('seq_test',111);

 setval 

--------

    111

(1 row)

postgres=# select setval('schemalei.seq_test',222);

 setval 

--------

    222

(1 row)

postgres=# select * from pg_sequences;

 schemaname | sequencename | sequenceowner | data_type | start_value | min_value |      max_value      | increment_by | cycle | cache_size | last_value 

------------+--------------+---------------+-----------+-------------+-----------+---------------------+--------------+-------+------------+------------

 public     | seq_test     | pg164         | bigint    |           1 |         1 | 9223372036854775807 |            1 | f     |          1 |        111

 schemalei  | seq_test     | pg164         | bigint    |           1 |         1 | 9223372036854775807 |            1 | f     |          1 |        222

(2 rows)

postgres=# select version();

                                   version                                   

-----------------------------------------------------------------------------

 PostgreSQL 16.4 on x86_64-pc-linux-gnu, compiled by gcc (GCC) 7.3.0, 64-bit

(1 row)

postgres=#