X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;ds=sidebyside;f=examples.tex;h=e11815ef7856b47f0dd5cb0e775c3272caeec427;hb=71dc84ac39e0dc87daf64fe61d7523e33711dc34;hp=0656165d2c7821f1f366cda489bf3dd21f4eaa54;hpb=fe30cc3cf8f9a88785d2899d00a727931377bb5d;p=mjotex.git diff --git a/examples.tex b/examples.tex index 0656165..e11815e 100644 --- a/examples.tex +++ b/examples.tex @@ -132,8 +132,7 @@ \unionmany{k=1}{\infty}{A_{k}} = \intersectmany{k=1}{\infty}{B_{k}} \end{equation*} % - The powerset of $X$ displays nicely, as $\powerset{X}$. Finally, - we have the four standard types of intervals in $\Rn[1]$, + Finally, we have the four standard types of intervals in $\Rn[1]$, % \begin{align*} \intervaloo{a}{b} &= \setc{ x \in \Rn[1]}{ a < x < b },\\ @@ -262,11 +261,6 @@ system to test them. \end{section} - \begin{section}{Miscellaneous} - The cardinality of the set $X \coloneqq \set{1,2,3}$ is $\card{X} - = 3$. - \end{section} - \begin{section}{Proof by cases} \begin{proposition} @@ -313,6 +307,11 @@ \renewcommand{\baselinestretch}{1} \end{section} + \begin{section}{Set theory} + The cardinality of the set $X \coloneqq \set{1,2,3}$ is $\card{X} + = 3$, and its powerset is $\powerset{X}$. + \end{section} + \begin{section}{Theorems} \begin{corollary} The