Theorems · Theorem · order theory
Filter.blimsup_sup_not
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteDistribLattice α] {f : Filter β} {p : β → Prop} {u : β → α},
(Filter.blimsup u f p ⊔ Filter.blimsup u f fun x => ¬p x) = Filter.limsup u f- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteDistribLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.limsupstatement and proof · cited by 226
- Filter.blimsupstatement and proof · cited by 40
- CompleteDistribLatticestatement and proof · cited by 17
- Filter.blimsup_trueproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Filter.limsup_piecewiseproof · cited by 2
- Filter.blimsup_not_supproof · cited by 1
- Filter.bliminf_inf_notproof · cited by 0