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Fix numbering errors
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teorth committed Sep 26, 2024
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6 changes: 3 additions & 3 deletions blueprint/src/chapter/counterexamples.tex
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\chapter{Counterexamples}

\begin{theorem}[46 does not imply 3]\label{46_not_imply_3}\lean{Equation46_not_implies_Equation3}\leanok\uses{eq46,eq3} Definition \ref{eq46} does not imply Definition \ref{eq3}.
\begin{theorem}[46 does not imply 4]\label{46_not_imply_4}\lean{Equation46_not_implies_Equation4}\leanok\uses{eq46,eq4} Definition \ref{eq46} does not imply Definition \ref{eq4}.
\end{theorem}

\begin{proof}\leanok Use the natural numbers $\N$ with operation $x \circ y := 0$.
\end{proof}

\begin{theorem}[3 does not imply 4582]\label{3_not_imply_4582}\lean{Equation3_not_implies_Equation4582}\leanok\uses{eq3,eq4582} Definition \ref{eq3} does not imply Definition \ref{eq4582}.
\begin{theorem}[4 does not imply 4582]\label{4_not_imply_4582}\lean{Equation4_not_implies_Equation4582}\leanok\uses{eq4,eq4582} Definition \ref{eq4} does not imply Definition \ref{eq4582}.
\end{theorem}

\begin{proof}\leanok Use the natural numbers $\N$ with operation $x \circ y := x$.
\end{proof}

\begin{theorem}[3 does not imply 43]\label{3_not_imply_43}\lean{Equation3_not_implies_Equation43}\leanok\uses{eq3,eq43} Definition \ref{eq3} does not imply Definition \ref{eq43}.
\begin{theorem}[4 does not imply 43]\label{4_not_imply_43}\lean{Equation4_not_implies_Equation43}\leanok\uses{eq4,eq43} Definition \ref{eq4} does not imply Definition \ref{eq43}.
\end{theorem}

\begin{proof}\leanok Use the natural numbers $\N$ with operation $x \circ y := x$.
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2 changes: 1 addition & 1 deletion blueprint/src/chapter/implications.tex
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Expand Up @@ -2,7 +2,7 @@ \chapter{Implications}

To reduce clutter, trivial or very easy implications will not be displayed here.

\begin{theorem}[387 implies 43]\label{387_implies_43}\uses{eq387,eq43}\lean{Equation4_implies_Equation43}\leanok Definition \ref{eq387} implies Definition \ref{eq43}.
\begin{theorem}[387 implies 43]\label{387_implies_43}\uses{eq387,eq43}\lean{Equation387_implies_Equation43}\leanok Definition \ref{eq387} implies Definition \ref{eq43}.
\end{theorem}

\begin{proof}\leanok (From \href{https://mathoverflow.net/a/450905/766}{MathOverflow}).
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