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1 parent b4f2663 commit cac202aCopy full SHA for cac202a
theories/topology.v
@@ -3081,9 +3081,12 @@ Unshelve. all: by end_near. Qed.
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Section Tychonoff.
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Class UltraFilter T (F : set_system T) := {
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- ultra_proper :> ProperFilter F ;
+ ultra_proper : ProperFilter F ;
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max_filter : forall G : set_system T, ProperFilter G -> F `<=` G -> G = F
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}.
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+(* When requiring Coq >= 8.17, replace the line below with
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+ #[global] ultra_proper :: ProperFilter F ; *)
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+#[global] Existing Instance ultra_proper.
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Lemma ultra_cvg_clusterE (T : topologicalType) (F : set_system T) :
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UltraFilter F -> cluster F = [set p | F --> p].
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