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What is the difference between a theorem and a proof?
A) A proof is a true mathematical statement, while a theorem is a speculation.
There is no difference; Theorems and proofs are the same thing.
B) A proof is a mathematical fact, while a theorem is a series of steps showing why the proof is true.
C) A theorem is a statement of mathematical truth, while a proof is the series of statements that support the theorem's claim.

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Answer:

C) A theorem is a statement of mathematical truth, while a proof is the series of statements that support the theorem's claim.

Step-by-step explanation:

By definition, the correct option is:

"A theorem is a statement of mathematical truth, while a proof is the series of statements that support the theorem's claim."

What is a theorem?

A theorem is a mathematical statement that is proven to be true for some given conditions. So, starting from a supposition, we arrive to a non-evident conclusion. Theorems allow us to make math problems a lot simpler.

What is a proof?

Well, theorems must be proven to be true. Here is where the proof comes. It is a series of steps (logical steps) that go rom the starting supposition of the theorem and arrive to the non-evident conclusion.

We need proof to be sure that we can always use the theorem, so a theorem without proof has no value.

With that in mind, the correct option:

C) "A theorem is a statement of mathematical truth, while a proof is the series of statements that support the theorem's claim."

If you want to learn more about theorems, you can read:

https://brainly.com/question/1788884

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