Theorems · Theorem · general topology
genericPoint_specializes
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : QuasiSober α] [inst_2 : IrreducibleSpace α] (x : α),
genericPoint α ⤳ x- Defined in
- Mathlib.Topology.Sober
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Specializesstatement · cited by 176
- IsClosed.closure_eqproof · cited by 139
- IrreducibleSpacestatement and proof · cited by 40
- QuasiSoberstatement and proof · cited by 31
- genericPointstatement · cited by 15
- IrreducibleSpace.isIrreducible_univproof · cited by 7
- IsIrreducible.isGenericPoint_genericPoint_closureproof · cited by 6
- IsGenericPoint.specializesproof · cited by 5
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