Exactly, my topic was aimed if i could use those [undownloaded] bitcoins or not.Thanks everyone for advices, conclusion is that i would like to use different wallet.

Thanks for advices, now i just have to found out what "TX" means . I am using newest 0.11.1 version and synchronization by itself takes painfully much time, i also tried downloading blockchain via torrent but not sure why, it haven´t worked anyway.My internet speed is about 1Mb/s + unstable.

When i wrote "virtually it is already in the system" i meant the fact that practically those unspent bitcoins already exists in my wallet, just my internet connection is preventing me from seeing it.

But i found out that on blockchain.info website i can create a kind of online wallet, which means that you don´t need to sychronize like Bitcoin Core, because your wallet already exists on their server and not on your computer, which may be ideal solution for me.And sorry for my english mistakes, thanks for the patience.

Hello, i am new to bitcoin, and i want to ask if can i use my wallet without sychronizing it.Reason is slow internet, virtually it is already in the system but i would like to know someone's more experienced opinion, thanks.