Proof is a way to show that something is true or correct. In mathematics, for example, a proof is a logical argument that demonstrates why a statement or theorem is valid. It uses definitions, axioms, and previously established results to build a case, much like a lawyer presents evidence in court to convince a judge. In everyday life, proof can also refer to evidence that supports a claim. For instance, a receipt serves as proof of purchase, while a diploma is proof of educational achievement. Both types of proof help us trust and verify information, whether in math or in our daily interactions.