Theorems · Theorem · real analysis
NNReal.toReal_liminf
∀ {ι : Type u_1} {f : Filter ι} {u : ι → NNReal}, Filter.liminf (fun i => ↑(u i)) f = ↑(Filter.liminf u f)- Defined in
- Mathlib.Order.Filter.ENNReal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- NNRealstatement and proof · cited by 4,310
- Filter.Eventuallyproof · cited by 3,134
- NNReal.toRealstatement and proof · cited by 1,260
- Filter.mapproof · cited by 819
- LT.lt.trans_leproof · cited by 678
- Filter.Eventually.of_forallproof · cited by 526
- le_or_gtproof · cited by 269
- Real.toNNRealproof · cited by 267
- Filter.liminfstatement and proof · cited by 198
- Filter.IsCoboundedUnderproof · cited by 102
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_measure_iUnion_gt_of_isCompact_closureproof · cited by 1