Theorems · Theorem · order theory
Filter.bliminf_inf_not
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteDistribLattice α] {f : Filter β} {p : β → Prop} {u : β → α},
(Filter.bliminf u f p ⊓ Filter.bliminf u f fun x => ¬p x) = Filter.liminf u f- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteDistribLattice
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.liminfstatement · cited by 198
- Filter.bliminfstatement · cited by 27
- CompleteDistribLatticestatement and proof · cited by 17
- Filter.blimsup_sup_notproof · cited by 3
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