Which of the following requires a proof?
theorem
Without knowing the specific options provided to choose from, I can provide a general answer to the question.
In the field of mathematics, a statement or claim can be classified as either a theorem or a proposition. Both types of statements require proof, but there are some differences between them.
A theorem is a statement that requires proof and is generally considered to be of greater importance than a proposition. Theorems often provide significant insights or solutions to long-standing mathematical problems. Once a theorem has been proven, it is considered to be true and can be used as a building block for further proofs.
A proposition is also a statement that requires proof, but it is generally considered to be of lower importance than a theorem. In some cases, a proposition may be a stepping stone to proving a more significant result.
So, any statement in mathematics that is classified as a theorem or proposition requires proof.
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