Theorems · Theorem · approximation theory
LinearGrowth.Real.eventually_atTop_exists_int_between
∀ {a b : ℝ}, a < b → ∀ᶠ (x : ℝ) in Filter.atTop, ∃ n, a * x ≤ ↑n ∧ ↑n ≤ b * x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- LE.le.transproof · cited by 3,151
- Filter.Eventuallystatement · cited by 3,134
- Filter.atTopstatement · cited by 2,405
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Filter.Eventually.monoproof · cited by 646
- Int.floorproof · cited by 225
- sub_mulproof · cited by 170
- Filter.eventually_ge_atTopproof · cited by 111
- sub_pos_of_ltproof · cited by 40
- Int.floor_leproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- LinearGrowth.Real.eventually_atTop_exists_nat_betweenproof · cited by 1