top type

The top type in the type theory of mathematics, logic, and computer science, commonly abbreviated as top or by the down tack symbol (⊤), is the universal type, sometimes called the universal supertype as all other types in any given type system are subtypes of top. In most cases it is the type which contains every possible object in the type system of interest. It is in contrast with the bottom type, or the universal subtype, which every other type is supertype of and in most cases it is the type that contains no members at all.