Paper IX · Lean source

InvalidPrescribedFullJacobian.lean

Selected results recorded Coverage and evidence

Compiler/replay evidence is reported for a subset or bounded block. No whole-work coverage is implied.

This viewer reads the retained source; it does not run Lean or assign new claim mappings.

polynomial_prescribed/controls/InvalidPrescribedFullJacobian.lean10 lines

Original source path

preserved/PRSC_IX_Consolidated_Manuscript/polynomial_prescribed/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

Back to source controls

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: 3223ecd8b64650ff5441ede2c75468008359fa437f6a0913839d63434a41ce1e

Original source on GitHub

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