proof statement

A proof statement is a logical argument that shows a specific claim or statement is true based on established facts, definitions, and reasoning. It's like a step-by-step demonstration that, starting from what we know, leads us to the conclusion we want to confirm. In mathematics and logic, proofs ensure that conclusions are reliable and not just guesses. They help us build confidence in new ideas by verifying that every part of the reasoning is sound and connects correctly, ultimately demonstrating the truth of the statement beyond doubt.