theorem proofs

A theorem proof is a logical argument that demonstrates why a specific statement (the theorem) is true. It starts with accepted facts, known as axioms or previously proven theorems, and uses logical steps to arrive at the conclusion. Think of it as a carefully structured chain: each link (step) follows logically from the previous ones, ensuring the entire chain is sound. By following this process, mathematicians can confidently confirm the truth of a statement, providing certainty and clarity about how and why it holds within the mathematical system.