Definition, Meaning & Synonyms
theorem
noun
/ˈθiːəˌrɛm/
Definition
A theorem is a statement that has been proven to be true through a logical sequence of reasoning and evidence.
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 of calculus connects differentiation and integration.
- The theorem of parallel lines states that if two lines are parallel, then they will never intersect.
Meaning
In mathematics and logic, a theorem is a conclusion that can be drawn from previously established statements, such as axioms and other theorems.
Synonyms
- proposition
- principle
- law
- corollary
