Theorems · Theorem · general topology
Filter.isCobounded_ge_of_top
∀ {α : Type u_1} [inst : LE α] [OrderTop α] {f : Filter α}, Filter.IsCobounded (fun x1 x2 => x2 ≤ x1) f- Defined in
- Mathlib.Order.Filter.IsBounded
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallyproof · cited by 3,134
- OrderTopstatement and proof · cited by 493
- le_topproof · cited by 411
- Filter.IsCoboundedstatement · cited by 42
Cited by38
Results whose statement or proof uses this declaration.
- LinearGrowth.linearGrowthInf_natCast_nonnegproof · cited by 7
- EReal.limsup_negproof · cited by 5
- LinearGrowth.linearGrowthInf_eventually_monotoneproof · cited by 5
- EReal.le_liminf_addproof · cited by 4
- MeasureTheory.lintegral_liminf_le'proof · cited by 3
- LinearGrowth.le_linearGrowthInf_iffproof · cited by 3
- ExpGrowth.expGrowthInf_eventually_monotoneproof · cited by 3
- lowerSemicontinuousWithinAt_iff_le_liminfproof · cited by 3
- MeasureTheory.hausdorffMeasure_pi_realproof · cited by 3
- EReal.liminf_add_leproof · cited by 2
- FormalMultilinearSeries.radius_eq_liminfproof · cited by 2
- LinearGrowth.linearGrowthInf_le_iffproof · cited by 2