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Adapt to https://github.com/coq/coq/pull/18590 #1168

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Jan 31, 2024
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Adapt to https://github.com/coq/coq/pull/18590 #1168

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5 changes: 4 additions & 1 deletion theories/topology.v
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Expand Up @@ -3081,9 +3081,12 @@ Unshelve. all: by end_near. Qed.
Section Tychonoff.

Class UltraFilter T (F : set_system T) := {
ultra_proper :> ProperFilter F ;
ultra_proper : ProperFilter F ;
max_filter : forall G : set_system T, ProperFilter G -> F `<=` G -> G = F
}.
(* When requiring Coq >= 8.17, replace the line below with
#[global] ultra_proper :: ProperFilter F ; *)
#[global] Existing Instance ultra_proper.

Lemma ultra_cvg_clusterE (T : topologicalType) (F : set_system T) :
UltraFilter F -> cluster F = [set p | F --> p].
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