Theorems · Theorem · general topology
Set.Finite.compl_mem_codiscrete
∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X] {S : Set X}, S.Finite → Sᶜ ∈ Filter.codiscrete X- Defined in
- Mathlib.Topology.DiscreteSubset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT1Space
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 and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Compl.complstatement and proof · cited by 2,925
- Set.Finitestatement and proof · cited by 1,814
- T1Spacestatement and proof · cited by 275
- compl_complproof · cited by 229
- Filter.codiscretestatement · cited by 34
- codiscrete_le_cofiniteproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Set.Infinite.of_accPtproof · cited by 2
- MeromorphicOn.exists_canonicalDecompproof · cited by 1