Question about after delete trigger?

[sjh]

Hi, I have a question about the triggers in Sybase.
I would like to execute the following trigger but only if the original delete operation was successful. Is this something that I have to code in the trigger, or is it not necessary? If it is needed, please help me with the code!

Thank you!
SJH

CREATE TRIGGER AfterDelete_myTable
AFTER DELETE ORDER 1 ON myTable
	
    REFERENCING OLD AS deleted 
    FOR EACH ROW

BEGIN
    DELETE FROM myTable 
    WHERE myTable.parent_id = deleted.id;
END