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Answers for “视频如何证明有无穷多个自然数?”

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No, the complete proof is not shown in the first 120 seconds of the clip. The video introduces the theorem "Prove that the product of two even numbers is also even" and clarifies that product means multiply, but the clip ends before any proof steps, variable definitions, or derivations are written.

Conditions: The question refers specifically to the first 120-second segment of the video.; The theorem is stated but not proved in this segment.

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In this video, PBC stands for "proof by contradiction." It is a mathematical method used to prove a statement by assuming the opposite of the desired statement and deriving an inconsistency or contradiction. The video explicitly abbreviates "proof by contradiction" as "Pbc." on the page before starting the first example.

Conditions: The context is a mathematical proof.; The method involves assuming the negation of the target statement.