This was a Pyrrhic victory , however ; the city had shown itself strong enough to defy the powerful Archbishop of Cologne , but lost much of its trade : the `` freed '' town was two-thirds surrounded by territories with other rulers . This was a Pyrrhic victory , however ; the city had shown itself strong enough to defy the powerful Archbishop of Cologne , but lost much of its trade : the `` liberated '' town was two-thirds surrounded by territories with other allegiances .