Theorems · Theorem · real analysis
ENNReal.eventually_pow_one_div_le
∀ {x : ENNReal}, x ≠ ⊤ → ∀ {y : ENNReal}, 1 < y → ∀ᶠ (n : ℕ) in Filter.atTop, x ^ (1 / ↑n) ≤ y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 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
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealproof · cited by 4,310
- Filter.Eventuallystatement and proof · cited by 3,134
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- ENNReal.ofNNRealproof · cited by 1,279
- Filter.Eventually.of_forallproof · cited by 526
- le_topproof · cited by 411
- Nat.cast_nonneg'proof · cited by 245
- ENNReal.coe_le_coeproof · cited by 73
Cited by1
Results whose statement or proof uses this declaration.
- spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_divproof · cited by 1