👉 In mathematics, a prolegate is a mathematical object that represents a relationship between two sets. Prolegues can be used to represent relationships like equality, inequality, or complementarity in logic and set theory. They are often used in contexts where there may be multiple ways of defining the same property or relation. For example, if we have two sets A and B, we say that A is a prolegate over B if for every element x in A, there exists an element y in B such