solve: HoTT 2.14

[kiwiyou]

No description provided.

[gemini-code-assist]

Summary of Changes

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This pull request introduces a new document containing the solution to problem 2.14 from Homotopy Type Theory. The solution provides a formal proof demonstrating that if the equality reflection rule is assumed, then any path from an element to itself is equivalent to the reflexivity path, which is a fundamental concept in HoTT related to the notion of types being sets.

Highlights

• New HoTT Problem Solution: Adds a new file HoTT-2.14.typ containing the solution to problem 2.14 from Homotopy Type Theory.
• Equality Reflection Rule Proof: The solution demonstrates a proof that under the equality reflection rule, any path p : x = x is equivalent to refl_x, utilizing path induction.

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[gemini-code-assist]

Code Review

The pull request provides a solution for problem 2.14 from HoTT. However, the provided proof is incorrect due to a fundamental type mismatch in the main argument. The notation is also very difficult to follow. I've provided a detailed comment with a suggested replacement for the proof that corrects the logic and improves clarity.