Lemma 5.12.14. A quasi-compact locally Noetherian space is Noetherian.
Proof. The conditions imply immediately that $X$ has a finite covering by Noetherian subsets, and hence is Noetherian by Lemma 5.9.4. $\square$
Lemma 5.12.14. A quasi-compact locally Noetherian space is Noetherian.
Proof. The conditions imply immediately that $X$ has a finite covering by Noetherian subsets, and hence is Noetherian by Lemma 5.9.4. $\square$
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