Theorems · Theorem · general topology
codiscrete_le_cofinite
∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X], Filter.codiscrete X ≤ Filter.cofinite- Defined in
- Mathlib.Topology.DiscreteSubset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 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.
Cites10
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
- Filterstatement · cited by 8,121
- T1Spacestatement and proof · cited by 275
- Filter.cofinitestatement and proof · cited by 251
- compl_complproof · cited by 229
- Filter.codiscretestatement and proof · cited by 34
- Set.Finite.isDiscreteproof · cited by 6
- Set.Finite.isClosedproof · cited by 6
- compl_mem_codiscrete_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Set.Finite.compl_mem_codiscreteproof · cited by 2
- IsCompact.codiscreteWithin_eqproof · cited by 1