Adjusted mean value theorem.
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@@ -142,7 +142,7 @@ Let $\catc$ be a category and $(\seqi{A}, \bracsn{f^i_j| i, j \in I, i \lesssim
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\end{definition}
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\begin{proposition}
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\label{proposition:direct-limit}
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\label{proposition:module-direct-limit}
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Let $R$ be a ring and $(\seqi{A}, \bracsn{T^i_j| i, j \in I, i \lesssim j})$ be an upward-directed system of $R$-modules, then there exists $(A, \bracsn{T^i_A}_{i \in I})$ such that:
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\begin{enumerate}
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\item For each $i \in I$, $T^i_A \in \hom({A_i, A})$.
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