Русско-англо-русский юридический словарь

In the U.S. judicial system, procedural rules require most motions to be made in writing and can require that written notice be given in advance of a motion being made. Written motions specify what action the movant is requesting and the reasons, or grounds, for the request. A written motion may contain citations to case law or statutes that support the motion. (TheFreeDictionary)

Substantive law is the statutory, or written law, that defines rights and duties, such as crimes and punishments (in the criminal law), civil rights and responsibilities in civil law. It is codified in legislated statutes or can be enacted through the initiative process.

Substantive law stands in contrast to procedural law, which is the "machinery" for enforcing those rights and duties. Procedural law comprises the rules by which a court hears and determines what happens in civil or criminal proceedings, as well as the method and means by which substantive law is made and administered. (Wikipedia)

Procedural law or adjective law comprises the rules by which a court hears and determines what happens in civil lawsuit, criminal or administrative proceedings. (Wikipedia)

The appeal court will allow an appeal where the decision of the lower court was either:

• Wrong (in that it erred in law or in fact or in the exercise of its discretion).
• Unjust because of a serious procedural or other irregularity in the proceedings in the lower court.