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Diffstat (limited to 'library/relation/closure.tex')
| -rw-r--r-- | library/relation/closure.tex | 3 |
1 files changed, 3 insertions, 0 deletions
diff --git a/library/relation/closure.tex b/library/relation/closure.tex index 8eebf08..0734685 100644 --- a/library/relation/closure.tex +++ b/library/relation/closure.tex @@ -11,6 +11,9 @@ \begin{proposition}\label{reflexive_closure_is_reflexive} $\reflexiveClosure{X}{R}$ is reflexive on $X$. \end{proposition} +\begin{proof} + Follows by \cref{reflexive_closure,reflexive_on,union_iff,id_iff}. +\end{proof} \begin{definition}\label{reflexive_reduction} $\reflexiveReduction{X}{R} = R\setminus\identity{X}$. |