Paper IX · Lean source

InvalidZeroDepthTaylor.lean

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polynomial_lifting/controls/InvalidZeroDepthTaylor.lean11 lines

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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_lifting/controls/InvalidZeroDepthTaylor.lean

1 module
2 public import PolynomialControls
3 @[expose] public section
4 open Komorebi.PolynomialControls
5 
6 -- Invalid attempt to erase the positive-depth hypothesis.
7 example : (2 : ℤ) ∣
8     MvPolynomial.eval (fun _ : Fin 1 => (1 : ℤ)) squarePolynomial -
9       MvPolynomial.eval (fun _ : Fin 1 => (0 : ℤ)) squarePolynomial -
10       Komorebi.PolynomialTaylor.directional squarePolynomial (fun _ => 0) (fun _ => 1) := by
11   exact zero_depth_taylor_failure

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