Carry is a type of Win. you would Compete because Win. Equal is a type of Compete. Equal is related to Comparable. 
Establish is a synonym of Depict. Depict is a synonym of Render. Render is a type of Communicate. one thing you do when you Teach is Communicate. 
Carry --IsA--> Win <--MotivatedByGoal-- Compete <--IsA-- Equal <--RelatedTo--> Comparable 
Establish <--Synonym--> Depict <--Synonym--> Render --IsA--> Communicate <--HasSubevent-- Teach 