Theorems · Theorem · general topology
mem_nhdsKer_singleton
∀ {X : Type u_2} [inst : TopologicalSpace X] {x y : X}, x ∈ nhdsKer {y} ↔ x ⤳ y- Defined in
- Mathlib.Topology.NhdsKer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites7
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
- Specializesstatement and proof · cited by 176
- Set.mem_ofPredproof · cited by 104
- nhdsKerstatement · cited by 53
- nhdsKer_singleton_eq_ker_nhdsproof · cited by 3
- ker_nhds_eq_specializesproof · cited by 3
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