Prepare is a type of Educate. Prepare is the opposite of Raw. Raw is related to Salad. Salad is related to Course. 
Prove is related to Improvement. Improvement is a type of Transformation. Transformation is a synonym of Translation. 
Educate <--IsA-- Prepare <--Antonym--> Raw <--RelatedTo--> Salad <--RelatedTo--> Course 
Prove <--RelatedTo--> Improvement --IsA--> Transformation <--Synonym--> Translation 