Theorems · Theorem · order theory
Filter.limsup_sdiff
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteBooleanAlgebra α] (f : Filter β) (u : β → α) (a : α),
Filter.limsup u f \ a = Filter.limsup (fun b => u b \ a) f- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteBooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.univproof · cited by 3,945
- Compl.complproof · cited by 2,925
- iSupproof · cited by 2,415
- iInfproof · cited by 1,690
- iSup_congr_Propproof · cited by 247
- Filter.limsupstatement and proof · cited by 226
- iInf_congr_Propproof · cited by 218
- inf_commproof · cited by 139
- Filter.univ_memproof · cited by 96
- CompleteBooleanAlgebrastatement and proof · cited by 32
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.