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Theorems · Theorem · general topology

isDiscrete_of_codiscreteWithin

∀ {X : Type u_1} [inst : TopologicalSpace X] {U s : Set X}, sᶜ ∈ Filter.codiscreteWithin U → IsDiscrete (s ∩ U)

If s is codiscrete within U, then sᶜ ∩ U has discrete topology.

Defined in
Mathlib.Topology.DiscreteSubset
Cited by
3 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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