LiouvilleWith.frequently_lt_rpow_neg

∀ {p q x : ℝ}, LiouvilleWith p x → q < p → ∃ᶠ (n : ℕ) in Filter.atTop, ∃ m, x ≠ ↑m / ↑n ∧ |x - ↑m / ↑n| < ↑n ^ (-q)

If x satisfies Liouville condition with exponent p and q < p, then x satisfies Liouville condition with exponent q and constant 1.

Defined in: Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith
Cited by: 3 results in Mathlib
Foundations: Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

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