update notations and fix typos
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@@ -32,7 +32,7 @@ So $d\in S$, this contradicts the definition of $\beta$ as the supremum of $S$.
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So $\beta \geq b$.
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EOP
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QED
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### Reviewing sections for Math 4111
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@@ -91,4 +91,4 @@ Setting $r=\sup a_n$ (by the least upper bound property of real numbers), $r\in
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This contradicts the assumption that $a_n,b_n$ as the first element in the list.
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EOP
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QED
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