theorem
n. countablen. a mathematical statement that has been proven to be true using logic and other facts.
n. a mathematical statement or proposition that has been established as true through a rigorous logical proof based on previously accepted axioms or other proven statements.
The teacher explained the Pythagorean theorem in class today.
After years of research, the mathematician finally published a complete proof for the new theorem.
While a conjecture is merely a hypothesis that appears likely to be true, a theorem requires a formal demonstration of its validity within a specific logical framework.
From Middle French théorème, from Late Latin theōrēma, from Ancient Greek θεώρημα (theṓrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōréō, “I look at, view, consider, examine”), from θεωρός (theōrós, “spectator”), from θέα (théa, “a view”) + ὁράω (horáō, “I see, look”). See also theory, and theater.
Commonly paired with the verbs 'prove', 'state', or 'demonstrate'.