Definition, Meaning & Synonyms

theorem

noun

/ˈθɪə.rəm/

Definition

A theorem is a statement or proposition that has been proven based on previously established statements, such as other theorems, and generally accepted operations and axioms.

Examples

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In calculus, the fundamental theorem connects the concept of differentiation and integration.

Meaning

Theorems are fundamental in mathematics and logic, as they provide rigorous conclusions that can be derived from more basic principles or accepted truths.