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@riceissa
Last active December 7, 2018 07:10
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dependency graph of theorems in real analysis
\begin{tikzpicture}
\node[draw,text width=3.5cm] (lub) at (5,10) {Least upper bound property};
\node[draw,text width=4cm] (bw) at (0,0) {Bolzano--Weierstrass theorem};
\node[draw,text width=3cm] (nested) at (11,0) {Nested intervals theorem};
\node[draw,text width=3cm] (ivt) at (11,5) {Intermediate value theorem};
\node[draw,text width=3cm] (bounded) at (5,5) {Boundedness theorem};
\node[draw,text width=3cm] (evt) at (0,5) {Extreme value theorem};
\draw[->] (lub) -- (nested) node[midway, fill=white, text width=1.5cm] {Stillwell, Folland};
\draw[->] (lub) -- (evt) node[midway, fill=white] {Spivak};
\draw[->] (lub) -- (bounded) node[midway, fill=white] {Spivak};
\draw[->] (lub) -- (ivt) node[midway, fill=white] {Spivak};
\draw[->] (nested) -- (ivt) node[midway, fill=white] {Stillwell};
\draw[->] (bw) -- (ivt) node[midway, fill=white] {Tao};
\draw[->] (bw) -- (bounded) node[midway, fill=white, text width=1.5cm] {Tao, Folland};
\draw[->] (bw) -- (evt) node[midway, fill=white, text width=1.5cm] {Tao, Folland};
\draw[->] (lub) -- (bw) node[midway, fill=white] {Tao};
\draw[->] (nested) -- (bw) node[midway, fill=white, text width=1.5cm] {Stillwell, Folland};
\end{tikzpicture}
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riceissa commented Dec 7, 2018

image

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