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Mathlib/Dynamics/BirkhoffSum Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -215,9 +215,7 @@ theorem birkhoffAverageSupSet_eq_birkhoffSupSet {f : α → α} {g a} (ha : 0 <
215215 rw [birkhoffSum_zero] at h
216216 exact lt_irrefl 0 h
217217 · exact birkhoffAverage_iff_birkhoffSum (by positivity)
218- conv =>
219- enter [1 , 1 , x, 1 , n]
220- rw [this]
218+ simp_rw [this]
221219
222220section MeasurePreserving
223221
@@ -278,7 +276,7 @@ variable {E : Type*} [NormedAddCommGroup E] {g : α → E} (hg : Integrable g μ
278276
279277include hg
280278
281- /-- Maximal ergodic theorem: maximal ergodic operator satisfies a weak-type inequality. -/
279+ /-- Maximal ergodic theorem: the maximal ergodic operator satisfies a weak-type inequality. -/
282280public theorem meas_birkhoffAverageSupSet_smul_const_le_norm :
283281 ⨆ a, a * μ.real (birkhoffAverageSupSet f (fun x ↦ ‖g x‖) a) ≤ ∫ x, ‖g x‖ ∂μ := by
284282 refine ciSup_le fun a ↦ ?_
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