Returnssuch

Returnssuch is a neologism used in some technical discussions to refer to the operation of returning elements that satisfy a given predicate. It is not a standardized language feature and does not point to a specific implementation; rather, it describes a common behavior found in filtering, selection, and querying tasks across programming languages and formal specifications. The term derives from the phrase "returns such that," which appears in mathematical and logical descriptions of how results are constrained by conditions.

In formal terms, given a domain D and a predicate P on D, a returnssuch operation yields the subset { x in D | P(x) holds }. This abstract view aligns with familiar concepts in computer science, such as filtering a collection, selecting records that meet a criterion, or producing a subset that satisfies a constraint. In practice, similar behavior is achieved by filter functions, list comprehensions, or SQL queries with a WHERE clause.

Examples in plain language illustrate the idea without tying it to a single language. If D is the set of integers from 1 to 4 and P(x) is "x is even," then the returnssuch result would be {2, 4}. In programming, an equivalent operation is commonly expressed as a filter over a sequence or as a query that selects elements satisfying P.

Returnssuch serves as a descriptive shorthand for a widespread pattern rather than a formal keyword. It is often used in teaching, formal proofs, or documentation to denote the action of producing elements that fulfill a specified condition. See also predicate, filter, selection, and set-builder notation.