Theorems · Theorem · real analysis
NNReal.eventually_pow_one_div_le
∀ (x : NNReal) {y : NNReal}, 1 < y → ∀ᶠ (n : ℕ) in Filter.atTop, x ^ (1 / ↑n) ≤ y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 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 · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- LE.le.transproof · cited by 3,151
- Filter.Eventuallystatement · cited by 3,134
- Filter.atTopstatement · cited by 2,405
- LT.lt.leproof · cited by 2,189
- LT.lt.trans_leproof · cited by 678
- one_divproof · cited by 624
- Nat.cast_posproof · cited by 113
- Filter.eventually_atTopproof · cited by 112
- tsub_add_cancel_of_leproof · cited by 112
- tsub_pos_of_ltproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.eventually_pow_one_div_leproof · cited by 1