Paper IX · Lean source

InvalidExtraPrecision.lean

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polynomial_towers/controls/InvalidExtraPrecision.lean9 lines

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1 module
2 public import PolynomialTowerControls
3 @[expose] public section
4 open Komorebi.PolynomialTowerControls
5 
6 -- Invalid: the nonsingular root zero modulo two for X−2 cannot keep zero modulo four.
7 example : ∃ y : Fin 1 → ℤ,
8     MvPolynomial.eval y (linearMinusTwo 0) = 0 ∧ (4 : ℤ) ∣ y 0 := by
9   exact linear_shift_no_extra_precision

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Back to Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation