Theorems · Theorem · general topology
ENat.isOpen_singleton
∀ {x : ℕ∞}, x ≠ ⊤ → IsOpen {x}- Defined in
- Mathlib.Topology.Instances.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- Filterproof · cited by 8,121
- ENatstatement and proof · cited by 4,985
- IsOpenstatement · cited by 2,400
- isOpen_singleton_iff_nhds_eq_pureproof · cited by 9
- ENat.nhds_eq_pureproof · cited by 3
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