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Theorems · Theorem · real analysis

Polynomial.finite_abs_eval_le_of_degree_lt

∀ {P Q : Polynomial ℤ}, Q.degree < P.degree → {x | |Polynomial.eval x P| ≤ |Polynomial.eval x Q|}.Finite

If deg Q < deg P, there are only finitely many integers x where |P(x)| ≤ |Q(x)|.

Defined in
Mathlib.Analysis.Polynomial.Basic
Cited by
1 results in Mathlib
Foundations
Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

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