Theorems · Theorem · general topology
JacobsonSpace.discreteTopology
∀ {X : Type u_1} [inst : TopologicalSpace X] [JacobsonSpace X], (closedPoints X).Finite → DiscreteTopology X- Defined in
- Mathlib.Topology.JacobsonSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univproof · cited by 3,945
- Finiteproof · cited by 3,029
- Compl.complproof · cited by 2,925
- Set.Finitestatement and proof · cited by 1,814
- IsClosedproof · cited by 1,639
- DiscreteTopologystatement · cited by 373
- Set.toFiniteproof · cited by 174
- Set.univ_subset_iffproof · cited by 49
- Set.biUnion_of_singletonproof · cited by 43
- isClosed_compl_iffproof · cited by 35
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