Mathematical companion and Lean formalization for A gauge-invariant measure for lattice chiral fermions

This record accompanies A gauge-invariant measure for lattice chiral fermions by Nathaniel Craig. It contains the mathematical companion, the Lean verification report, the complete Lean source project, and selected supporting verification records.

The formal development treats the SU(5) construction with fermions in 10 plus conjugate 5 and its restrictions to the four stated Standard Model global forms. It defines the refinement current and fermion measure and proves the stated locality, symmetry, anomaly, and integrability properties. It also includes the polynomial representation of the current, classical continuum estimates, and fixed-cutoff amplitude results.

The verification report explains the mathematical outputs and the proof details completed during formalization. The publication companion incorporates the three resulting revisions to proof explanations. The compact proof archive retains the original formalized companion and its correspondence ledger; the revision note connects that source to the publication companion.

The compact proof archive contains the Lean source project and dependency pins. The support archive contains selected verification receipts, scripts, logs, and reviews. It omits most intermediate history and does not reproduce the entire historical checking environment. The README explains how to inspect and build the proof project and describes the retained checks.

License scope: Apache-2.0 for project-authored code; CC BY 4.0 for project-generated data and written documentation. Existing third-party licenses and notices remain in force. See LICENSES.txt.