Someone interested in checking another topology proof for errors/omissions?
The proposition is: Let (X,d) and (Y,d1) be two metric spaces. Prove that a function f:(X,d)->(Y,d1) that is surjective and preserves the metric: d(x1,x2) = d1(f(x1),f(x2)) is a homeomorphism.
My tentative to prove this is in the comments (as one can only write so much in a question...).

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