Paper IX · Lean source
InvalidWeightedExtraPrecision.lean
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polynomial_parameter_towers/controls/InvalidWeightedExtraPrecision.lean9 lines
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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_parameter_towers/controls/InvalidWeightedExtraPrecision.lean1 module
2 public import PolynomialWeightedControls
3 @[expose] public section
4 open Komorebi.PolynomialWeightedControls
5
6 -- Invalid: the exact shifted root of 2X + 8 is -4, with depth two.
7 -- The weighted estimate r-s = 3-1 = 2 cannot uniformly gain another digit.
8 example : (2 : ℤ_[2]) ^ (3 - 1 + 1) ∣ -(2 : ℤ_[2]) ^ (3 - 1) := by
9 exact (linear_displacement_sharp 2 1 3).2
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Back to Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation