Summarization of Mathematical Theorems with Step-by-Step Proofs

Design prompts that guide AI to summarize mathematical theorems and include step-by-step proofs for better understanding.

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Prompt Content

Summarize the following mathematical theorem and provide a clear, step-by-step proof for better understanding:

1. Theorem: [Insert theorem name and statement here]
2. Key Details: Explain the important concepts or terms related to the theorem.
3. Step-by-Step Proof: Break down the proof into logical steps, using simple language, and include any necessary diagrams or examples.
4. Conclusion: Summarize the significance of the theorem and its applications or implications.

Example Response

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## Theorem: Pythagorean Theorem

### Key Details:
The Pythagorean Theorem is a fundamental principle...

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