Theorems · Theorem · general topology
Filter.isCobounded_le_of_bot
∀ {α : Type u_1} [inst : LE α] [OrderBot α] {f : Filter α}, Filter.IsCobounded (fun x1 x2 => x1 ≤ x2) f- Defined in
- Mathlib.Order.Filter.IsBounded
- Cited by
- 58 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.
- Filterstatement and proof · cited by 8,121
- Bot.botproof · cited by 4,720
- Filter.Eventuallyproof · cited by 3,134
- OrderBotstatement and proof · cited by 1,055
- bot_leproof · cited by 306
- Filter.IsCoboundedstatement · cited by 42
Cited by58
Results whose statement or proof uses this declaration.
- Filter.limsup_le_iSupproof · cited by 7
- EReal.limsup_add_leproof · cited by 4
- EReal.limsup_const_mul_of_nonneg_of_ne_topproof · cited by 3
- ProbabilityTheory.Kernel.indep_biSup_limsupproof · cited by 3
- LinearGrowth.linearGrowthSup_eventually_monotoneproof · cited by 3
- ExpGrowth.expGrowthSup_eventually_monotoneproof · cited by 3
- MeasureTheory.eLpNormEssSup_le_nnreal_smul_eLpNormEssSup_of_ae_le_mul'proof · cited by 3
- MeasureTheory.eLpNormEssSup_le_of_ae_nnnorm_boundproof · cited by 3
- EReal.le_limsup_addproof · cited by 2
- EReal.liminf_negproof · cited by 2
- MeasureTheory.eLpNorm_enorm_rpowproof · cited by 2
- LinearGrowth.le_linearGrowthSup_iffproof · cited by 2