Adding us as a Preferred Source tells Google you trust our content, so our articles show up more often in your Google Search, Discover feed, and AI Overviews.
verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies.
Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
theorem
logic and mathematics
theorem, in mathematics and logic, a proposition or statement that is demonstrated. In geometry, a proposition is commonly considered as a problem (a construction to be effected) or a theorem (a statement to be proved). The statement “If two lines intersect, each pair of vertical angles is equal,” for example, is a theorem. The so-called fundamental theorem of algebra asserts that every (complex) polynomial equation in one variable has at least one complex root or solution. The Greeks also recognized a proposition lying between a theorem and a problem, the porism, directed to producing or finding what is proposed.
Discover how ordinary objects work, and expand your understanding of the familiar.
" height="20" alt="HEW Logo">
By clicking "Sign Up", you consent to the Britannica Privacy Policy and Terms of Use.