👉 In mathematics, an equationally defined set is a set that can be defined in terms of its elements by defining an equivalence relation. This means that two sets are considered to be equal if and only if they have exactly the same elements under the given equivalence relation. For example, consider two sets A and B, where A = {x | x ∈ R} (where R is the set of real numbers) and B = {y | y > 0}. Then, we can define an