informal proof

if you act intellectually superior then you are insecure

1. you act intellectually superior (hypothesis)
2. you are not insecure (by raa [reducto ad absurdum] hypothesis)
3. you do not lack self confidence (by definition)
4. you have nothing to prove (by definition)
5. you make a written record of actions (by step one and definition of acting)
6. you make a record of your actions of superiority
7. you have something to prove (by contridiction of 4 and 6)
8. you lack self confidence (by definition and step 7)
9. you are insecure (conclusion)