# What is Disproof by Counterexample?

## Disproof by Counterexample Notes

**Disproof by counterexample** is the technique in mathematics where a statement is shown to be wrong by finding a single example for when it is not satisfied. Not surprisingly, disproof is the opposite of proof so instead of showing that something is true, we must show that it is false. Any statement that makes inferences about a set of numbers can be disproved by finding a single example for which it does not work.

Take the AS Maths Proof course to see examples and videos of Disproof by Counterexample exam questions and learn about Proof by Deduction and Proof by Exhaustion too.