Paper IX · Lean source

InvalidWeightedBoundary.lean

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polynomial_parameter_towers/controls/InvalidWeightedBoundary.lean9 lines

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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_parameter_towers/controls/InvalidWeightedBoundary.lean

1 module
2 public import PolynomialWeightedControls
3 @[expose] public section
4 open Komorebi.PolynomialWeightedControls MvPolynomial
5 
6 -- Invalid: allowing r = 2s would force a root for X^2 + 3 at p = 2.
7 -- The checked positive control proves no p-adic input is a root.
8 example : ∃ a : Fin 1 → ℤ_[2], eval a squarePlusThree = 0 := by
9   exact boundary_no_root

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