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Diffstat (limited to 'library/topology/basis.tex')
| -rw-r--r-- | library/topology/basis.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/library/topology/basis.tex b/library/topology/basis.tex index bd7d15a..052c551 100644 --- a/library/topology/basis.tex +++ b/library/topology/basis.tex @@ -64,7 +64,7 @@ Then $\unions{F}\in\genOpens{B}{X}$. \end{lemma} \begin{proof} - We have $\unions{F} \in \pow{X}$. + We have $\unions{F} \in \pow{X}$ by \cref{genopens,subseteq,pow_iff,unions_family,powerset_elim}. Show for all $x\in \unions{F}$ there exists $W \in B$ such that $x\in W$ and $W \subseteq \unions{F}$. |