case refine'_1
a b : ℝ
n : ℕ
f : ℝ → ℝ
μ ν : MeasureTheory.Measure ℝ
inst✝ : IsLocallyFiniteMeasure μ
c d : ℝ
⊢ Continuous fun x => 1 + x ^ 2

case refine'_2
a b : ℝ
n : ℕ
f : ℝ → ℝ
μ ν : MeasureTheory.Measure ℝ
inst✝ : IsLocallyFiniteMeasure μ
c d x : ℝ
⊢ 1 + x ^ 2 ≠ 0
a b : ℝ
n : ℕ
f : ℝ → ℝ
μ ν : MeasureTheory.Measure ℝ
inst✝ : IsLocallyFiniteMeasure μ
c d : ℝ
⊢ IntervalIntegrable (fun x => ↑1 / (1 + x ^ 2)) μ a b
refine' (continuous_const.div _ fun x => _).intervalIntegrable a b
no goals
case refine'_1
a b : ℝ
n : ℕ
f : ℝ → ℝ
μ ν : MeasureTheory.Measure ℝ
inst✝ : IsLocallyFiniteMeasure μ
c d : ℝ
⊢ Continuous fun x => 1 + x ^ 2
continuity
no goals
case refine'_2
a b : ℝ
n : ℕ
f : ℝ → ℝ
μ ν : MeasureTheory.Measure ℝ
inst✝ : IsLocallyFiniteMeasure μ
c d x : ℝ
⊢ 1 + x ^ 2 ≠ 0
nlinarith