Mathematical proof

A mathematical proof is a way to show that a mathematical theorem is true. To prove a theorem is to show that theorem holds in all cases (where it claims to hold). To prove a statement, one can either use axioms, or theorems which have already been shown to be true. Many techniques for proving a statements exist, and these include proof by induction, proof by contraction and proof by cases.^[1][2][3]

1. ↑ "The Definitive Glossary of Higher Mathematical Jargon". Math Vault. 2019-08-01. Retrieved 2020-09-23.
2. ↑ "Proof Definition (Illustrated Mathematics Dictionary)". www.mathsisfun.com. Retrieved 2020-09-23.
3. ↑ Weisstein, Eric W. "Proof". mathworld.wolfram.com. Retrieved 2020-09-23.