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[Merged by Bors] - refactor(NumberTheory): golf Mathlib/NumberTheory/LSeries/AbstractFuncEq #38403

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[Merged by Bors] - refactor(NumberTheory): golf Mathlib/NumberTheory/LSeries/AbstractFuncEq #38403

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10 changes: 2 additions & 8 deletions Mathlib/NumberTheory/LSeries/AbstractFuncEq.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -273,15 +273,9 @@ lemma hf_modif_int :
fun_prop (discharger := assumption)
refine LocallyIntegrableOn.add (fun x hx ↦ ?_) (fun x hx ↦ ?_)
· obtain ⟨s, hs, hs'⟩ := P.hf_int.sub (locallyIntegrableOn_const _) x hx
refine ⟨s, hs, ?_⟩
rw [IntegrableOn, integrable_indicator_iff measurableSet_Ioi, IntegrableOn,
Measure.restrict_restrict measurableSet_Ioi, ← IntegrableOn]
exact hs'.mono_set Set.inter_subset_right
exact ⟨s, hs, hs'.indicator measurableSet_Ioi⟩
· obtain ⟨s, hs, hs'⟩ := P.hf_int.sub this x hx
refine ⟨s, hs, ?_⟩
rw [IntegrableOn, integrable_indicator_iff measurableSet_Ioo, IntegrableOn,
Measure.restrict_restrict measurableSet_Ioo, ← IntegrableOn]
exact hs'.mono_set Set.inter_subset_right
exact ⟨s, hs, hs'.indicator measurableSet_Ioo⟩

lemma hf_modif_FE (x : ℝ) (hx : 0 < x) :
P.f_modif (1 / x) = (P.ε * ↑(x ^ P.k)) • P.g_modif x := by
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