Theorems · Theorem · real analysis
NNReal.limsInf_of_not_isCobounded
∀ {f : Filter NNReal}, ¬Filter.IsCobounded (fun x1 x2 => x1 ≥ x2) f → f.limsInf = 0- Defined in
- Mathlib.Order.Filter.ENNReal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 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.
- Filterstatement and proof · cited by 8,121
- NNRealstatement and proof · cited by 4,310
- Filter.IsCoboundedstatement and proof · cited by 42
- Filter.limsInfstatement · cited by 31
- NNReal.sSup_of_not_bddAboveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.liminf_of_not_isCoboundedUnderproof · cited by 1