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feat(DesnanotJacobi): prove desnanot_jacobi_cauchy_identity_gen#2

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feat(DesnanotJacobi): prove desnanot_jacobi_cauchy_identity_gen#2
pitmonticone wants to merge 1 commit intofacebookresearch:mainfrom
pitmonticone:aristotle/desnanotjacobi

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This PR adds proofs autoformalised by @Aristotle-Harmonic.

Co-authored-by: Aristotle (Harmonic) aristotle-harmonic@harmonic.fun

Prove the generalized Desnanot-Jacobi Cauchy identity for all n,
eliminating the sorry in the n >= 5 case. The proof uses structural
telescoping product identities on genDenom and evalNumeratorQ,
avoiding the ring tactic timeout on degree-256 polynomials.

Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
@meta-cla meta-cla bot added the CLA Signed This label is managed by the Meta Open Source bot. label Apr 5, 2026
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