mysql.procs_priv table itself does not get replicated.
Inserting routine privilege record into mysql.procs_priv table
is triggered by creating function/procedure statements
according to current user's privileges.
Because the current user of SQL thread has GLOBAL_ACL,
which doesn't need any check mysql.procs_priv privilege
when create/alter/execute routines.
Corresponding GLOBAL_ACL privilege user
doesn't insert routine privilege record into
mysql.procs_priv when creating a routine.

Fixed by switching the current user of SQL thread to definer user if
the definer user exists on slave.
That populates procs_priv, otherwise to keep the SQL thread
user and procs_priv remains unchanged.