Paper IX · Lean source

InvalidSingularLift.lean

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polynomial_lifting/controls/InvalidSingularLift.lean10 lines

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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_lifting/controls/InvalidSingularLift.lean

1 module
2 public import PolynomialControls
3 @[expose] public section
4 open Komorebi.PolynomialControls Komorebi.PolynomialObstruction
5 
6 -- Invalid attempt to infer lifting merely from a singular lower root.
7 example : ∃ y : Fin 1 → ℤ,
8     (∀ i, (2 : ℤ) ∣ y i) ∧
9     (∀ i, (4 : ℤ) ∣ evalSystem squareMinusTwo y i) := by
10   exact singular_root_without_lift.2.2

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