Hole is related to Door. you are likely to find Door in/at/on School. School is related to Mathematics. Mathematics is related to Addition. 
Legitimate is similar to Valid. Valid is related to True. True is related to Prove. 
Hole <--RelatedTo--> Door --AtLocation--> School <--RelatedTo--> Mathematics <--RelatedTo--> Addition 
Legitimate <--SimilarTo--> Valid <--RelatedTo--> True <--RelatedTo--> Prove 