A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
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a theorem and if your just typing in the question off your home work that's called cheating you dumb A S S
A statement which appears to be true but has not been proven to be so, is a postulate.
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
a lemma is a proven statement used for proving another statement.