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Theorems · Theorem · general topology

genericPoints.isGenericPoint

∀ {α : Type u_1} [inst : TopologicalSpace α] (x : ↑(genericPoints α)), IsGenericPoint ↑x ↑(genericPoints.component x)
Defined in
Mathlib.Topology.Sober
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

genericPoints.component_injective · cited by 2genericPoints.component_i…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Elem · cited by 7166Set.ElemirreducibleComponents · cited by 35irreducibleComponentsIsGenericPoint · cited by 26IsGenericPointgenericPoints · cited by 10genericPointsgenericPoints.component · cited by 7genericPoints.componentgenericPoints.isGenericPointCITED BYCITES

Cites7

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Cited by1

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