Theorems · Theorem · general topology
ENNReal.ofNNReal_limsup
∀ {ι : Type u_4} {f : Filter ι} {u : ι → NNReal},
Filter.IsBoundedUnder (fun x1 x2 => x1 ≤ x2) f u → ↑(Filter.limsup u f) = Filter.limsup (fun i => ↑(u i)) f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- Filterstatement and proof · cited by 8,121
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- Filter.Frequentlyproof · cited by 414
- Filter.IsBoundedUnderstatement and proof · cited by 247
- Filter.limsupstatement and proof · cited by 226
- Filter.isBounded_le_of_topproof · cited by 75
- ENNReal.coe_le_coeproof · cited by 73
- Filter.isCobounded_le_of_botproof · cited by 58
- Filter.le_limsup_iffproof · cited by 10
- ENNReal.eq_of_forall_nnreal_le_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_of_forall_isCompact_of_isTightMeasureSetproof · cited by 0