Theorems · Theorem · general topology

Set.le_edist_of_le_infsep

∀ {α : Type u_1} [inst : PseudoMetricSpace α] {s : Set α} {d : ℝ} {x : α},
  x ∈ s → ∀ {y : α}, y ∈ s → x ≠ y → d ≤ s.infsep → d ≤ dist x y

Defined in

Mathlib.Topology.MetricSpace.Infsep

Cited by

1 results in Mathlib

Foundations

Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpace