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[Merged by Bors] - chore(MeasureTheory/Integral/Bochner/VitaliCaratheodory): remove an erw #38503

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[Merged by Bors] - chore(MeasureTheory/Integral/Bochner/VitaliCaratheodory): remove an erw #38503

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2 changes: 1 addition & 1 deletion Mathlib/MeasureTheory/Integral/Bochner/VitaliCaratheodory.lean
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Expand Up @@ -367,7 +367,7 @@ theorem exists_upperSemicontinuous_le_lintegral_le (f : α → ℝ≥0) (int_f :
∃ fs : α →ₛ ℝ≥0, (∀ x, fs x ≤ f x) ∧ (∫⁻ x, f x ∂μ) ≤ (∫⁻ x, fs x ∂μ) + ε / 2 := by
have := ENNReal.lt_add_right int_f (ENNReal.half_pos ε0).ne'
conv_rhs at this => rw [lintegral_eq_nnreal (fun x => (f x : ℝ≥0∞)) μ]
erw [ENNReal.biSup_add] at this <;> [skip; exact ⟨0, fun x => by simp⟩]
rw [ENNReal.biSup_add'] at this <;> [skip; exact ⟨0, fun x => by simp⟩]
simp only [lt_iSup_iff] at this
rcases this with ⟨fs, fs_le_f, int_fs⟩
refine ⟨fs, fun x => by simpa only [ENNReal.coe_le_coe] using fs_le_f x, ?_⟩
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