In a direct proof, evidence is used to support the truth of a statement. On the other hand, a counterexample is a single example that demonstrates the falsity of a statement.

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Here are five related questions that expand on this information:

1. What is the structure of a direct proof?
2. How is a proof by contradiction different from a direct proof?
3. Can a counterexample be used in indirect proofs?
4. What role do axioms and theorems play in constructing proofs?
5. How does mathematical induction differ from other proof techniques?

Tip: When constructing a proof, always identify whether direct evidence or a counterexample is needed to support or disprove the claim.