Proof is related to Degree. Degree is related to Graduation. 
Instruction is a synonym of Education. Education is related to Class. Class is related to Academic. Academic is related to Graduation. 
Proof <--RelatedTo--> Degree <--RelatedTo--> Graduation 
Instruction <--Synonym--> Education <--RelatedTo--> Class <--RelatedTo--> Academic <--RelatedTo--> Graduation 