Paper IX · Lean source

InvalidSeparateImpliesCommon.lean

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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_lifting/controls/InvalidSeparateImpliesCommon.lean

1 module
2 public import PolynomialControls
3 @[expose] public section
4 open Komorebi.PolynomialControls Komorebi.PolynomialObstruction
5 
6 -- Invalid attempt to merge two separate polynomial lifts into a common lift.
7 example : ∃ y : Fin 1 → ℤ,
8     (∀ i, (2 : ℤ) ∣ y i) ∧
9     (∀ i, (4 : ℤ) ∣ evalSystem linearZero y i) ∧
10     (∀ i, (4 : ℤ) ∣ evalSystem linearTwo y i) := by
11   exact separate_polynomial_lifts

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