Theorems · Theorem · order theory
Filter.cofinite.liminf_set_eq
∀ {α : Type u_1} {ι : Type u_4} {s : ι → Set α}, Filter.liminf s Filter.cofinite = {x | {n | x ∉ s n}.Finite}In other words, liminf cofinite s is the set of elements lying outside the family s
finitely often.
- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement and proof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Set.Finitestatement and proof · cited by 1,814
- Filter.cofinitestatement and proof · cited by 251
- Filter.liminfstatement · cited by 198
- Filter.cofinite.bliminf_set_eqproof · cited by 1
- Filter.bliminf_trueproof · cited by 1
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