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Theorems · Theorem · general topology

closure_inter_open_nonempty_iff

∀ {X : Type u} [inst : TopologicalSpace X] {s t : Set X}, IsOpen t → ((closure s ∩ t).Nonempty ↔ (s ∩ t).Nonempty)
Defined in
Mathlib.Topology.Closure
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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Cited by2

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