I always find it funny when people ask for "proof".
People previously only asked for reasons, now they want proof.
I don't know which is the post which got you banned, but writing paragraphs is no use if you are just rehashing something from the internet.
Bitcoin is peer-to-peer cryptocurrency system that allows online transactions using a unit of exchange called Bitcoins.It came into existence in 2009.It is decentralized i.e.without any involvement of government.It can be seen as the alternative of government's flat currencies such as Us Dollars or Euros or an alternative to the pure commodity currencies such as gold or silver coins.Each Bitcoin transaction is recorded in Blockchain .They are either mined or purchased with standard national currency. Bitcoins are kept in Bitcoin wallets which are accessed through smartphone or computer using internet.
http://www.investopedia.com/ask/answers/100314/what-are-advantages-paying-bitcoin.asp
What Is Bitcoin?
Bitcoin is a decentralized, peer-to-peer, "cryptocurrency" system designed to allow online users to process transactions through digital units of exchange called Bitcoins. Started in 2009 by a mysterious programmer, Bitcoin has generated plenty of interest and controversy as a "third" type of currency and an alternative to government flat currencies like the U.S. dollar or the euro or pure commodity currencies like gold or silver coins.
Bitcoin payments are processed through a private network of computers linked through a shared program. Each transaction is simultaneously recorded in a "blockchain" on each computer that updates and informs all accounts.
Bitcoins are either "mined" by a computer through a process of solving increasingly complex mathematical algorithms or purchased with standard national money currencies and placed into a "Bitcoin wallet" that is accessed through a smartphone or computer.