Bottom is a type of Region. Air is a type of Region. 
Arise is the opposite of Lie. Lie is a different concept from Honest. Honest is related to Person. Edge is a type of Person. 
Bottom --IsA--> Region <--IsA-- Air 
Arise <--Antonym--> Lie <--DistinctFrom--> Honest <--RelatedTo--> Person <--IsA-- Edge 