thickenedIndicatorAux_mono_infEdist

Deprecated since 2026-01-08Use thickenedIndicatorAux_mono_infEDist instead.

∀ {α : Type u_1} [inst : PseudoEMetricSpace α] (δ : ℝ) {E : Set α} {x y : α},
  Metric.infEDist x E ≤ Metric.infEDist y E → thickenedIndicatorAux δ E y ≤ thickenedIndicatorAux δ E x

Alias of thickenedIndicatorAux_mono_infEDist.

Defined in: Mathlib.Topology.MetricSpace.ThickenedIndicator
Cited by: 0 results in Mathlib
Foundations: Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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Setstatement · cited by 53,352
Realstatement · cited by 25,697
ENNRealstatement · cited by 9,879
PseudoEMetricSpacestatement · cited by 1,536
Metric.infEDiststatement · cited by 147
thickenedIndicatorAuxstatement · cited by 21
thickenedIndicatorAux_mono_infEDistproof · cited by 3

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