Theorems · Theorem · general topology
Filter.self_mem_codiscreteWithin
∀ {X : Type u_1} [inst : TopologicalSpace X] (U : Set X), U ∈ Filter.codiscreteWithin UAny set is codiscrete within itself.
- Defined in
- Mathlib.Topology.DiscreteSubset
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Compl.complproof · cited by 2,925
- Disjointproof · cited by 2,201
- nhdsWithinproof · cited by 1,912
- Filter.principalproof · cited by 740
- Filter.codiscreteWithinstatement · cited by 87
- sdiff_selfproof · cited by 38
- Filter.principal_emptyproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- MeromorphicOn.intervalIntegrable_log_normproof · cited by 4
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- MeromorphicOn.extract_zeros_poles_logproof · cited by 3
- MeromorphicOn.circleAverage_log_normproof · cited by 3
- MeromorphicOn.exists_canonicalDecompproof · cited by 1
- MeromorphicOn.exists_ecanonicalDecompproof · cited by 0