Formal Proofs

Formal proofs are rigorous, step-by-step logical arguments used to verify that a statement or theorem is true. They follow strict rules and use precise language to ensure every deduction is justified, leaving no doubt about the correctness of the conclusion. This method is fundamental in mathematics and logic, providing an objective way to confirm ideas without relying on intuition or assumptions. Formal proofs help build a solid foundation for understanding complex concepts, ensuring that conclusions are sound and universally accepted within a formal system.