Theorems · Theorem · general topology
Filter.cofinite_inf_principal_neBot_iff
∀ {α : Type u_2} {s : Set α}, (Filter.cofinite ⊓ Filter.principal s).NeBot ↔ s.Infinite- Defined in
- Mathlib.Order.Filter.Cofinite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Filterstatement · cited by 8,121
- Filter.NeBotstatement · cited by 853
- Filter.principalstatement · cited by 740
- Set.Infinitestatement · cited by 263
- Filter.cofinitestatement · cited by 251
- Filter.frequently_mem_iff_neBotproof · cited by 5
- Filter.frequently_cofinite_mem_iff_infiniteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.Infinite.cofinite_inf_principal_neBotproof · cited by 1