[GENERAL] Does a row lock taken out in a CTE stay in place?

Given an update that uses CTEs like this:

WITH
lock_rows AS (
  SELECT 1 FROM tbl WHERE [...] FOR UPDATE
)
UPDATE [...]

Will the rows in `tbl` remain locked until the UPDATE is finished?

Also, does it matter if `lock_rows` is referenced? (IIUC the query
wouldn't be run if the CTE isn't referenced if it was for a SELECT, but
since it's an UPDATE, it will be run anyway)

Thanks!
Seamus

--
Seamus Abshere, SCEA
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