Theorems · Theorem · order theory
Filter.cofinite.blimsup_set_eq
∀ {α : Type u_1} {ι : Type u_4} {p : ι → Prop} {s : ι → Set α},
Filter.blimsup s Filter.cofinite p = {x | {n | p n ∧ x ∈ s n}.Infinite}- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.ofPredstatement and proof · cited by 6,101
- Compl.complproof · cited by 2,925
- Set.extproof · cited by 2,266
- Set.Finiteproof · cited by 1,814
- InfSet.sInfproof · cited by 935
- Set.Infinitestatement and proof · cited by 263
- Filter.cofinitestatement · cited by 251
- Set.sInterproof · cited by 225
- Filter.blimsupstatement · cited by 40
- Set.Infinite.monoproof · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- Filter.cofinite.limsup_set_eqproof · cited by 1
- Filter.cofinite.bliminf_set_eqproof · cited by 1
- UnitAddCircle.mem_addWellApproximable_iffproof · cited by 0