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Theorems · Theorem · number theory

LiouvilleWith.mul_rat

∀ {p x : ℝ} {r : ℚ}, LiouvilleWith p x → r ≠ 0 → LiouvilleWith p (x * ↑r)

The product of a Liouville number and a nonzero rational number is again a Liouville number.

Defined in
Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith
Cited by
2 results in Mathlib
Foundations
Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

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