Theorems · Theorem · general topology
closure_closedPoints
∀ {X : Type u_1} [inst : TopologicalSpace X] [JacobsonSpace X], closure (closedPoints X) = Set.univ- Defined in
- Mathlib.Topology.JacobsonSpace
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 3,945
- closurestatement and proof · cited by 1,254
- Set.univ_interproof · cited by 258
- isClosed_univproof · cited by 43
- closedPointsstatement and proof · cited by 25
- JacobsonSpacestatement and proof · cited by 20
- JacobsonSpace.closure_inter_closedPointsproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- JacobsonSpace.discreteTopologyproof · cited by 0