Question: I need help in one proving question. I'd appreciate your help! Let d and d be two distance on the same set E so that

I need help in one proving question. I'd appreciate your help!

Let d and d be two distance on the same set E so that the following is satisfied: If UE is open with the distance d, then it is also open with the distance d.

Let x_n be a sequence in E that converges with the distance d. Prove that x_n also converges with the distance d.

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