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Theorems · Theorem · general topology

JacobsonSpace.closure_inter_closedPoints

∀ {X : Type u_1} {inst : TopologicalSpace X} [self : JacobsonSpace X] {Z : Set X},
  IsClosed Z → closure (Z ∩ closedPoints X) = Z
Defined in
Mathlib.Topology.JacobsonSpace
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
JacobsonSpace
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Around this declaration

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

PrimeSpectrum.isJacobsonRing_iff_jacobsonSpace · cited by 2PrimeSpectrum.isJacobsonR…closure_closedPoints · cited by 1closure_closedPointsSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsClosed · cited by 1639IsClosedclosure · cited by 1254closureclosedPoints · cited by 25closedPointsJacobsonSpace · cited by 20JacobsonSpaceJacobsonSpace.closure_inter_c…CITED BYCITES

Cites6

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Cited by2

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