Mathlib Map

Theorems · Inductive type · general topology

DiscreteTopology

(α : Type u_2) → [t : TopologicalSpace α] → Prop

A topological space is discrete if every set is open, that is, its topology equals the discrete topology .

Defined in
Mathlib.Topology.Order
Cited by
373 results in Mathlib
Foundations
Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes
TopologicalSpace

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Cited by413

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