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feat(measure_theory/function/intersectivity): Bergelson Intersectivity Lemma #18732

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feat(measure_theory/function/intersectivity): Bergelson Intersectivit…
YaelDillies Feb 4, 2023
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snorm_ess_sup API, characterisation of M
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first moment method for the Bochner integral
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first moment method for the Lebesgue integral
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First moment method for the Lebesgue integral
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rewrap
YaelDillies committed Jun 17, 2023
commit f448537011bbd06144adcc3213a24d133e9c3862
5 changes: 3 additions & 2 deletions src/measure_theory/function/intersectivity.lean
Original file line number Diff line number Diff line change
@@ -10,8 +10,9 @@ import order.upper_lower.locally_finite
/-!
# Bergelson's intersectivity lemma

This file proves the Bergelson intersectivity lemma: In a finite measure space, a sequence of events that have
measure at least `r` has an infinite subset whose finite intersections all have positive volume.
This file proves the Bergelson intersectivity lemma: In a finite measure space, a sequence of events
that have measure at least `r` has an infinite subset whose finite intersections all have positive
volume.

This is in some sort a finitary version of the second Borel-Cantelli lemma.