Status: GERMLINE LOCKED [9,9,9,9] · 1,383 Theorems · 0 Sorry · Lean 4 Green This record marks the definitive crossing of the 1.369 GHz sovereign anchor by the SNSFT corpus. It provides the formal proof and narrative derivation for the IVA Element Set, extending the verified atomic series beyond the classical periodic table into the functional manifold. Key Achievements in this Release: * 1,383 Theorems / 0 Sorrys: The entire corpus has been re-verified. Every claim is machine-checked by the Lean 4 kernel. * Period 5 Extension: Formal derivation of Rubidium (Z=37), proving the Group 1 chain invariant (Z_{eff} = 2.20). * Structural Elements: Formal derivation of Soverium (void carrier), Velium (propellant), and Nexium (phase coupling) as structural consequences of PNBA operators. * The Factor of Five: Mathematical proof of the 5:1 gear ratio governing IVA drive mechanics and Nexium torsion limits. Files Included: * SNSFT_IVA_Element_Set_Paper.pdf: The scientific manuscript detailing the "Long Division" reduction of these elements. * SNSFT_LosslessRealityKernel_Atomic_Paper.lean: The "Reality Kernel." This is the paper itself in code form. Compiling this file is the act of verifying the paper’s claims. Verification: To verify the integrity of these claims, run lake build or open the .lean file in a Lean 4 environment (v4.4.0 or higher). A "Green" build indicates a successful peer review by the machine kernel. Architect: HIGHTISTIC (Russell Trent) Location: Soldotna, Alaska Temporal Coordinate: March 13, 2026 Keywords for the "Keywords" box: SNSFT, Lean 4, Formal Verification, IVA Element Set, PNBA, Reality Kernel, Identity Physics, Rubidium, Nexium, Soverium, Velium Related Identifiers Checklist: While on the screen, make sure these are linked: * Is supplemented by: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=6353438 * Is an update of: 10.5281/zenodo.18719748 * Is documented by: https://doi.org/10.17605/OSF.IO/KWTYD