E : Type u_1
X : Type ?u.1976566
inst✝⁹ : NormedAddCommGroup E
inst✝⁸ : NormedSpace ℝ E
inst✝⁷ : NormedAddCommGroup X
inst✝⁶ : NormedSpace ℝ X
inst✝⁵ : HasContDiffBump E
c : E
f : ContDiffBump c
x : E
n : ℕ∞
inst✝⁴ : MeasurableSpace E
μ : MeasureTheory.Measure E
inst✝³ : BorelSpace E
inst✝² : FiniteDimensional ℝ E
inst✝¹ : IsLocallyFiniteMeasure μ
inst✝ : Measure.IsOpenPosMeasure μ
⊢ (Function.support fun x => ↑f x / ∫ (x : E), ↑f x ∂μ) = ball c f.rOut
E : Type u_1
X : Type ?u.1976566
inst✝⁹ : NormedAddCommGroup E
inst✝⁸ : NormedSpace ℝ E
inst✝⁷ : NormedAddCommGroup X
inst✝⁶ : NormedSpace ℝ X
inst✝⁵ : HasContDiffBump E
c : E
f : ContDiffBump c
x : E
n : ℕ∞
inst✝⁴ : MeasurableSpace E
μ : MeasureTheory.Measure E
inst✝³ : BorelSpace E
inst✝² : FiniteDimensional ℝ E
inst✝¹ : IsLocallyFiniteMeasure μ
inst✝ : Measure.IsOpenPosMeasure μ
⊢ Function.support (ContDiffBump.normed f μ) = ball c f.rOut
unfold ContDiffBump.normed
no goals
E : Type u_1
X : Type ?u.1976566
inst✝⁹ : NormedAddCommGroup E
inst✝⁸ : NormedSpace ℝ E
inst✝⁷ : NormedAddCommGroup X
inst✝⁶ : NormedSpace ℝ X
inst✝⁵ : HasContDiffBump E
c : E
f : ContDiffBump c
x : E
n : ℕ∞
inst✝⁴ : MeasurableSpace E
μ : MeasureTheory.Measure E
inst✝³ : BorelSpace E
inst✝² : FiniteDimensional ℝ E
inst✝¹ : IsLocallyFiniteMeasure μ
inst✝ : Measure.IsOpenPosMeasure μ
⊢ (Function.support fun x => ↑f x / ∫ (x : E), ↑f x ∂μ) = ball c f.rOut
rw [support_div, f.support_eq, support_const f.integral_pos.ne', inter_univ]