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Theorems · Theorem · general topology

Metric.closure_eq_iInter_cthickening

∀ {α : Type u} [inst : PseudoEMetricSpace α] (E : Set α), closure E = ⋂ δ, ⋂ (_ : 0 < δ), Metric.cthickening δ E

The closure of a set equals the intersection of its closed thickenings of positive radii.

Defined in
Mathlib.Topology.MetricSpace.Thickening
Cited by
1 results in Mathlib
Foundations
Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace

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