A direct proof is a method used in mathematics to establish the truth of a statement by straightforward logical reasoning. In this approach, one starts with known facts, definitions, or previously proven theorems and uses them to arrive at the conclusion directly. This method is often used to prove implications, such as "if A, then B," by demonstrating that whenever A is true, B must also be true.
In a direct proof, each step follows logically from the previous one, ensuring clarity and coherence. This technique is commonly employed in various branches of mathematics, including geometry, algebra, and number theory. By providing a clear pathway from premises to conclusion, direct proofs help build a solid foundation for mathematical understanding.