To ask a more senior court or person to review a decision of a subordinate court or person. In some countries such as Canada, the USA and Australia, appeals can continue all the way up to the Supreme Court, where the decision is final in that it can no longer be appealed. That is why it is called "supreme" (although, in Australia the supreme court is called the High Court).
APPEAL
Meaning of APPEAL in English
Duhaime's Law English dictionary. Английский юридический словарь Duhaime . 2012