tételfüggvények

Tételfüggvények, translated as "theorem functions" or "predicate functions" in English, are a concept in mathematical logic and computer science that describe properties or conditions that must be met. They are essentially functions that return a boolean value, true or false, based on whether their input satisfies a particular condition or predicate. In essence, a tételfüggvény acts as a test.

The core idea is to abstract away the specific details of a condition into a reusable function. For example, one might define a tételfüggvény called `is_even` that takes an integer as input and returns true if the integer is even, and false otherwise. This function encapsulates the rule of evenness.

Tételfüggvények are widely used in programming for tasks such as data validation, filtering collections, and implementing conditional logic. They contribute to writing more readable and maintainable code by separating the "what" of a condition from the "where" it's used. In formal logic, they are closely related to predicates, which are statements about variables that can be true or false depending on the values assigned to those variables. The concept helps in formalizing mathematical statements and reasoning about them.