Cast entails/necessarily involves Perform. Conduct is a type of Perform. Conduct is a synonym of Behavior. Behavior is related to Gather. 
Book can be used for Learn. Learn is a different concept from Teach. Mentor is a type of Teach. 
Cast --Entails--> Perform <--IsA-- Conduct <--Synonym--> Behavior <--RelatedTo--> Gather 
Book --UsedFor--> Learn <--DistinctFrom--> Teach <--IsA-- Mentor 