Proof Techniques

Proof techniques are methods used to demonstrate that a statement or theorem is true. They provide logical steps that connect known facts or assumptions to the conclusion. Common techniques include direct proof, where you show the statement directly; proof by contradiction, where assuming the opposite leads to inconsistency; and induction, which proves something holds for an initial case and then for all subsequent cases. These methods ensure arguments are solid, reliable, and free from errors, forming the foundation of rigorous reasoning in mathematics and other sciences.