Theorems · Theorem · real analysis
ENNReal.eventually_le_limsup
∀ {α : Type u_1} {f : Filter α} [CountableInterFilter f] (u : α → ENNReal), ∀ᶠ (y : α) in f, u y ≤ Filter.limsup u f- Defined in
- Mathlib.Order.Filter.ENNReal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CountableInterFilter
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallystatement · cited by 3,134
- Filter.limsupstatement · cited by 226
- CountableInterFilterstatement and proof · cited by 78
- Filter.isBounded_le_of_topproof · cited by 75
- eventually_le_limsupproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.limsup_mul_leproof · cited by 1
- ENNReal.ae_le_essSupproof · cited by 1
- ENNReal.limsup_liminf_le_liminf_limsupproof · cited by 1
- ENNReal.limsup_add_leproof · cited by 1