Dream is the opposite of Reality. Fact is a type of Reality. Fact is the opposite of Belief. 
Opening is related to Operation. Operation is related to Divide. Divide is the opposite of Multiple. Multiple is related to Play. 
Dream <--Antonym--> Reality <--IsA-- Fact <--Antonym--> Belief 
Opening <--RelatedTo--> Operation <--RelatedTo--> Divide <--Antonym--> Multiple <--RelatedTo--> Play 