Theorems · Theorem · measure theory

MeasureTheory.measure_ball_ne_top

∀ {α : Type u_1} {m0 : MeasurableSpace α} [inst : PseudoMetricSpace α] [ProperSpace α] {μ : MeasureTheory.Measure α}
  [MeasureTheory.IsFiniteMeasureOnCompacts μ] {x : α} {r : ℝ}, μ (Metric.ball x r) ≠ ⊤

Defined in

Mathlib.MeasureTheory.Measure.Typeclasses.Finite

Cited by

1 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpaceProperSpaceMeasureTheory.IsFiniteMeasureOnCompacts