Theorem/ˈθiːərəm,ˈθɪrəm/ Definition 1 of 2Pro Tip 1/3Logical Proof Theorems are not just ideas; they're proven by clear logical steps. After rigorous proof, the researcher established the theorem. Pro Tip 2/3Misconceptions Theorems are often mistaken for theories; theorems are proven, theories are not. Unlike scientific theories, theorems in mathematics are irrefutable. Pro Tip 3/3Academic Usage 'Theorem' suggests a formal context, common in textbooks, lectures, and research. The professor discussed the theorem in today's lecture.