What is a theorem ? Definition and examples.

A theorem is a statement that can be proven true or has already been proven to be true.

When proving that a theorem is true, you will use what you already know such as facts, other theorems, and mathematical logic.

There are numerous examples of theorems. Just to mention a few, the following are theorems.

• Pythagorean theorem


• Fundamental theorem of arithmetic

• Triangle inequality theorem

• Prime number theorem