I do have proof of the transfer of 0.105 BTC from Bittrex to Yobit -
Address: 1CueV8QaA6gtsJB4xuVm6ntM3E2KjzftnS
TxId: 3164de375fd19e5c1e8bf7fc4ad60a467f52e5fdd9b33d80a82061ecc2885482
I have no record of anything that happened after that on Yobit because they've deleted the history. But surely this transaction detail will be enough to prove that Yobit received funds for me? And I have all the emails from Yobit saying when I set up the account, and the when I've recently logged in. I only have one account.