Paper IX · Lean source

InvalidSingularInfiniteLift.lean

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1 module
2 public import PolynomialTowerControls
3 @[expose] public section
4 open Komorebi.PolynomialTowerControls
5 
6 -- Invalid: the singular root one lifts through modulus four but has no root at modulus eight.
7 example : ∃ z : ℕ → Fin 1 → ℤ,
8     ∀ n i, (2 : ℤ)^(1+n) ∣ MvPolynomial.eval (z n) (squareMinusFive i) := by
9   exact square_minus_five_no_tower

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