honestly. i can try to prove every single thing in the world. (keyword: try.) definitely. but the problem is, after showing, proving and demonstrating with examples, will u believe, accept and know what i proved? i am quite skeptical. haha. hence, i tink i shall only do a partial prove. partial prove. how partial is partial? problem is, hard to quantify stuff here. hahahah... find out more in time to come. in any case, be prepared.