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Mathlib/Topology/Order/MonotoneConvergence.lean

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@@ -133,7 +133,8 @@ section ConditionallyCompleteLattice
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theorem tendsto_finset_sup_ciSup {ι} [ConditionallyCompleteLattice α] [OrderBot α]
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[SupConvergenceClass α] [Nonempty ι] {a : ι → α} (ha : BddAbove (range a)) :
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Tendsto (fun F : Finset ι => F.sup a) atTop (𝓝 (⨆ i, a i)) := by
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simpa [ciSup_eq_ciSup_finset ha] using tendsto_atTop_ciSup Finset.monotone_sup ha.range_finsetSup
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simpa [ciSup_eq_ciSup_finset ha] using
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tendsto_atTop_ciSup (Finset.monotone_sup a) ha.range_finsetSup
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end ConditionallyCompleteLattice
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