you are likely to find Arena in/at/on Stadium. Stadium is a type of Structure. Structure is etymologically related to Destroy. Destroy is related to Super. 
Cooperative is a type of Association. Association is related to Club. you are likely to find Bar in/at/on Club. Bar is a type of Implement. 
Arena --AtLocation--> Stadium --IsA--> Structure --EtymologicallyRelatedTo--> Destroy <--RelatedTo--> Super 
Cooperative --IsA--> Association <--RelatedTo--> Club <--AtLocation-- Bar --IsA--> Implement 