Theorems · Theorem · general topology
genericPoints.equiv_apply
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : T0Space α] [inst_2 : QuasiSober α] (x : ↑(genericPoints α)),
genericPoints.equiv x = genericPoints.component x- Defined in
- Mathlib.Topology.Sober
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- T0Spacestatement and proof · cited by 179
- irreducibleComponentsstatement · cited by 35
- QuasiSoberstatement and proof · cited by 31
- genericPointsstatement and proof · cited by 10
- genericPoints.componentstatement · cited by 7
- genericPoints.equivstatement and proof · cited by 2
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