Added missing steps and fixed typos.
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@@ -128,7 +128,7 @@ The axioms of uniform spaces strongly resembles working in a metric space. In fa
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and $d: X \times X \to [0, 1]$ by
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\[
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d(x, y) = \inf\bracs{\sum_{j = 1}^n\rho(x_{j-1}, x_j) \bigg | \seqf{x_j} \subset X, x_0 = x, x_1 = y, n \in \natp}
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d(x, y) = \inf\bracs{\sum_{j = 1}^n\rho(x_{j-1}, x_j) \bigg | \seqf{x_j} \subset X, x_0 = x, x_n = y, n \in \natp}
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\]
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then
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