Paper IX · Lean source

InvalidPrescribedFullJacobian.lean

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polynomial_regularity/controls/InvalidPrescribedFullJacobian.lean10 lines

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preserved/PRSC_IX_Consolidated_Manuscript/polynomial_regularity/controls/InvalidPrescribedFullJacobian.lean

1 module
2 public import PolynomialPrescribedControls
3 @[expose] public section
4 open Komorebi.PolynomialPrescribedControls
5 
6 -- Invalid: F=T has surjective full Jacobian, but the solved block is zero.
7 -- At x=0 modulo 2, prescribing parameter digit 1 gives no root modulo 4.
8 example : Nonempty (Komorebi.PolynomialPrescribedLifts.PrescribedLifts
9     2 1 parameterOnly (fun _ => 0) (fun _ => 1)) := by
10   exact prescribed_one_no_actual_lift

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