👉 Exhaustiveness in mathematics refers to a property of mathematical structures or functions that ensures they are complete, meaning that every element within the structure has an inverse or another function that maps back to itself. This property is also known as "closed-form" or "closed" because it means that all expressions and equations can be written in terms of other elements without ambiguity. For example, consider a set of numbers {1, 2, 3}. If we define the operation of addition on this set