Theorems · Theorem · general topology
codiscreteWithin_le_codiscrete_inf_principal
∀ {X : Type u_1} [inst : TopologicalSpace X] (s : Set X),
Filter.codiscreteWithin s ≤ Filter.codiscrete X ⊓ Filter.principal s- Defined in
- Mathlib.Topology.DiscreteSubset
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
Cites6
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
- Filter.principalstatement · cited by 740
- Filter.codiscreteWithinstatement · cited by 87
- Filter.codiscretestatement · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- IsCompact.codiscreteWithin_eqproof · cited by 1