Theorems · Theorem · general topology

Metric.mem_cthickening_of_dist_le

∀ {α : Type u_2} [inst : PseudoMetricSpace α] (x y : α) (δ : ℝ) (E : Set α),
  y ∈ E → dist x y ≤ δ → x ∈ Metric.cthickening δ E

Defined in

Mathlib.Topology.MetricSpace.Thickening

Cited by

2 results in Mathlib

Foundations

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

Assumes

PseudoMetricSpace