Constructive proof

A constructive proof is a way of demonstrating that something exists by actually providing an example or method to construct it. Instead of showing that it's possible in theory, it offers a direct way to find or build the object. For example, to prove there’s an even number greater than 2 that is prime, a constructive proof would explicitly identify such a number, like 2, which actually isn't prime, so you'd give 3 or 5, but the principle is to demonstrate existence through a specific, tangible example or construction, rather than just asserting it must exist.