Theorems · Theorem · general topology
isNowhereDense_empty
∀ {X : Type u_1} [inst : TopologicalSpace X], IsNowhereDense ∅The empty set is nowhere dense.
- Defined in
- Mathlib.Topology.GDelta.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- interiorproof · cited by 714
- IsNowhereDensestatement · cited by 15
- closure_emptyproof · cited by 11
- interior_emptyproof · cited by 5
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