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Theorems · Theorem · general topology

RegularSpace.of_exists_mem_nhds_isClosed_subset

∀ {X : Type u_1} [inst : TopologicalSpace X],
  (∀ (x : X), ∀ s ∈ nhds x, ∃ t ∈ nhds x, IsClosed t ∧ t ⊆ s) → RegularSpace X
Defined in
Mathlib.Topology.Separation.Regular
Cited by
0 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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