Theorems · Theorem · real analysis
Real.limsup_of_not_isBoundedUnder
∀ {ι : Type u_1} {f : Filter ι} {u : ι → ℝ}, ¬Filter.IsBoundedUnder (fun x1 x2 => x1 ≤ x2) f u → Filter.limsup u f = 0- Defined in
- Mathlib.Order.Filter.ENNReal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Filter.IsBoundedUnderstatement and proof · cited by 247
- Filter.limsupstatement · cited by 226
- Real.limsSup_of_not_isBoundedproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.toReal_limsupproof · cited by 1