constructed proofs

Constructed proofs are logical arguments that demonstrate a statement is true by building it step-by-step from accepted facts or assumptions. Instead of guessing or assuming, mathematicians carefully connect pieces of information using rules of logic to arrive at the conclusion. Think of it like following a detailed recipe: each step follows logically from the previous ones, ensuring the final result is solid and undeniable. This method ensures the proof's validity, showing that the statement holds true based on established principles.