Theorems · Theorem · general topology
Filter.hyperfilter_le_cofinite
∀ {α : Type u} [inst : Infinite α], ↑(Filter.hyperfilter α) ≤ Filter.cofinite- Defined in
- Mathlib.Order.Filter.Ultrafilter.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
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.
- Filterstatement · cited by 8,121
- Infinitestatement and proof · cited by 352
- Filter.cofinitestatement and proof · cited by 251
- Ultrafilter.toFilterstatement · cited by 172
- Filter.hyperfilterstatement · cited by 30
- Ultrafilter.of_leproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- Nat.hyperfilter_le_atTopproof · cited by 5
- Filter.notMem_hyperfilter_of_finiteproof · cited by 1