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Fixed imports
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ArkLib/Data/CodingTheory.lean

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import ArkLib.Data.CodingTheory.Basic
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import ArkLib.Data.CodingTheory.BerlekampWelch
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import ArkLib.Data.CodingTheory.BivariatePoly
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import ArkLib.Data.CodingTheory.DivergenceOfSets
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import ArkLib.Data.CodingTheory.InterleavedCode
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import ArkLib.Data.CodingTheory.ListDecodability

ArkLib/Data/CodingTheory/BivariatePoly.lean

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ArkLib/Data/Polynomial/Bivariate.lean

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def coeffs : Finset F[X] := f.support.image (fun n => f.coeff n)
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/---
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The coeffiecient of `Y^n` is a polynomial in `X`.
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The coefficient of `Y^n` is a polynomial in `X`.
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-/
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def coeff_Y_n (n : ℕ) : F[X] := f.coeff n
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def leadingCoeffY : F[X] := f.coeff (natDegree f)
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/--
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The polynomial coeffient of the highest power of `Y` is `0` if and only if the bivariate
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The polynomial coefficient of the highest power of `Y` is `0` if and only if the bivariate
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polynomial is the zero polynomial.
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-/
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theorem leadingCoeffY_eq_zero : leadingCoeffY f = 0 ↔ f = 0 :=
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fun h => h.symm ▸ leadingCoeff_zero⟩
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/--
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The polynomial coeffient of the highest power of `Y` is not `0` if and only if the
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The polynomial coefficient of the highest power of `Y` is not `0` if and only if the
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bivariate polynomial is non-zero.
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-/
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lemma ne_zero_iff_leadingCoeffY_ne_zero : leadingCoeffY f ≠ 0 ↔ f ≠ 0 := by

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