Failed inference · quantifier error

F-HUR-14

Candidate rejection is not full-fibre rejection

Exact statement

A Nielsen receipt may reject a displayed lift while another lift in the same support fibre reaches the target.

StatusRefuted by full-fibre certificate
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

Finite quotient words do not lift one factor at a time independently. Local affine lift fibres must be transported through the ordered product; the target defect then lives in a product-image cokernel that is invariant under quotient Hurwitz moves.

Proof or evidence

The archived finite computation exhibits both rejection and alternate permission.

Verification notes

The colored-crossing, diagonal-selection, and three-strand shadow proofs were reconstructed. An independent implementation enumerated all 2,925 three-support multisets and 256 positive shadow words. The later winding closures remain at L3 because their archived replay dependency is still unavailable.

Limitations

  • Import-time replay is blocked by the missing helper.

Open work

Compute complete attainable-product sets.