Theorems · Theorem · general topology
genericPoint_closure
∀ (α : Type u_1) [inst : TopologicalSpace α] [inst_1 : QuasiSober α] [inst_2 : IrreducibleSpace α],
closure {genericPoint α} = Set.univ- Defined in
- Mathlib.Topology.Sober
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- closurestatement · cited by 1,254
- IrreducibleSpacestatement and proof · cited by 40
- QuasiSoberstatement and proof · cited by 31
- genericPointstatement · cited by 15
- genericPoint_specproof · cited by 7
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