Theorems · Theorem · real analysis
NNReal.toReal_limsup
∀ {ι : Type u_1} {f : Filter ι} {u : ι → NNReal}, Filter.limsup (fun i => ↑(u i)) f = ↑(Filter.limsup 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.
Cites29
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
- Set.ofPredproof · cited by 6,101
- Bot.botproof · cited by 4,720
- NNRealstatement and proof · cited by 4,310
- Filter.Eventuallyproof · cited by 3,134
- NNReal.toRealstatement and proof · cited by 1,260
- InfSet.sInfproof · cited by 935
- Filter.NeBotproof · cited by 853
- LT.lt.trans_leproof · cited by 678
- Filter.Frequentlyproof · cited by 414
- le_or_gtproof · cited by 269
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_of_forall_isClosed_limsup_real_le'proof · cited by 1