How to Prove It¶
Velleman, D. J. (2006). How to Prove It: A Structured Approach. Cambridge University Press.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Contraposition
- Mathematics and formal logic. \(\lnot Q \to \lnot P\) is the contrapositive of \(P \to Q\), and modus tollens is the rule that uses it; many proofs hopeless in the forward direction become routine when contraposed.
This sourceTeaches proof by contraposition as a standard technique, including the even-square example (n odd ⇒ n² odd) and its distinction from proof by contradiction.
- Mathematics and formal logic. \(\lnot Q \to \lnot P\) is the contrapositive of \(P \to Q\), and modus tollens is the rule that uses it; many proofs hopeless in the forward direction become routine when contraposed.
Domain-specific¶
Verification¶
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