Theorems · Theorem · general topology
ENNReal.inv_liminf
∀ {ι : Type u_4} {x : ι → ENNReal} {l : Filter ι}, (Filter.liminf x l)⁻¹ = Filter.limsup (fun i => (x i)⁻¹) l- Cited by
- 1 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- Filter.limsupstatement · cited by 226
- Filter.liminfstatement · cited by 198
- Filter.isBounded_ge_of_botproof · cited by 55
- Filter.isCobounded_ge_of_topproof · cited by 38
- OrderIso.invENNRealproof · cited by 6
- OrderIso.liminf_applyproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.radius_inv_eq_limsupproof · cited by 0