Lean formalization and Magma computations for Sylow synchronization in finite groups: The good case

Source release accompanying Sylow synchronization in finite groups: The good case, by Hong Yi Huang, Francesca Lisi, Aluna Rizzoli and Luca Sabatini.

The archive contains Lean 4 formalizations of the main solvable theorem under the quotient-stable Sylow-intersection hypothesis, translated regular orbits, the symmetric and alternating cases, and odd-order corollaries using a vendored formalization of the Feit–Thompson theorem. It also contains standalone Magma code reproducing the finite checks in Section 3 for degrees 5 through 40, the nilpotent-pair assertion for degrees 9 through 40, and the numerical anchor inequalities. The S8 result is inclusion-minimality, with minimum Sylow-2 intersection order 2.

The release includes build instructions, pinned dependency revisions, exact finite certificates, axiom audits, kernel-replay records, Comparator verification records, and the Magma output with source hashes. The project uses the Apache License 2.0; vendored code retains its upstream license and attribution. See README.md and docs/VERIFICATION.md for the exact scope and reproduction instructions.