Theorems · Theorem · order theory
Filter.inf_limsup
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteDistribLattice α] {f : Filter β} {u : β → α} (a : α),
a ⊓ Filter.limsup u f = Filter.limsup (fun x => a ⊓ u x) f- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteDistribLattice
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Cites4
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 · cited by 226
- CompleteDistribLatticestatement and proof · cited by 17
- Filter.sup_liminfproof · cited by 2
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