Is the proof that the product of two even numbers is even actually shown in this clip?

Conditions

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

Reasoning, step by step

1. Observe the page change to a new heading: "Prove that the product of two even numbers is also even."
2. Listen to the speaker introduce the example and clarify that "product" means multiplication.
3. Note that the clip ends before any algebraic setup, variable definitions, or proof steps appear on the page.
4. Conclude that the proof is only introduced, not executed, in this specific segment.

Example

The second page heading reads "Prove that the product of two even numbers is also even." The speaker says, "We're going to prove that the product of two even numbers is also even." and "product means multiply." Before any algebraic proof begins, the clip ends. Thus the second theorem is only stated and motivated here; no variables, parity definitions, or derivation steps are shown in this segment.

Common misconceptions

• Assuming the proof is completed in the first segment because the theorem is stated.
• Confusing the introduction of the theorem with the execution of its proof.

Watch the explanation

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