Definition: In mathematics, a non-mutinously defined object is an object that has a property that is determined by its existence and not by any other properties. In other words, it cannot be constructed from another object using only the properties of the object itself. For example, a person who walks on two legs can't walk without a third leg or with one leg but not both. Non-mutinously defined objects are important in many areas of mathematics and physics, such as topology, geometry,