UGP/GTE Lean formalization

Lean 4 software archive for the UGP Physics / GTE program: Lean Ugp. This Zenodo record bundles a pinned Git snapshot of the formalization (334 modules, zero sorry on all load-bearing theorems, zero custom axioms on core path). All core modules zero sorry; named axioms: rcc_physics_ax, rule110_simulates_computable, simultaneous_dual_tape_ax. Exact file scope and revision policy appear in the repository manifest shipped with the archive. June 2026 completions (Rounds 81–83D): FKTT eta_B baryon asymmetry CatAL (6.109e-10, +0.15 sigma); pion mass m_pi = 139.57 MeV CatAL (GOR+condensate, -0.001% from PDG); all three PMNS mixing angles closed CatAD (sin^2 theta_12=4/13, sin^2 theta_23=19/42, sin theta_13=11/73); m_tau structural prediction v_H/(98*sqrt(2)) disclosed (-2.42 sigma). Additional CatAL theorems: phimdl_potential_su2l_invariant (SU(2)_L weak force, zero named axioms — all four forces CatAL); mdl_tower_bundle; particles_computation_spacetime_trinity (PCT Trinity); gte_polynomial_five_roles_k_extra_zero (Single-Source Principle); psc_enumeration_forces_ngen_3 (exhaustive 34,560-universe PSC scan, native_decide); incompleteness_implies_nonzero_omega_lambda (PSC→Omega_Lambda > 0). Z7InvariantSubsets graduation (10 theorems, zero sorry): p_poly invariant subset classification (exactly {0}, {0,1}, Z_7), Rule 110 unique maximal proper invariant sub-CA, QNR Binary Floor — N_fam=5 being a quadratic non-residue mod 7 uniquely explains {0,1} as the binary floor. Round 98 graduation (2026-06-09, 8702 build jobs, zero sorry): GTECausalTree.lean (8 theorems — perfectTree_numNodes, gte_rulegte_ten_generations certifying 1023 events at depth 10, perfectTree_horton_ratio, gte_causal_tree_summary); PolyExplorations.lean (35 theorems — poly_p_uniform_gs_roots, poly_p_diagonal_factorization, period_475_is_minimal, four_object_GTE_pairwise_distinct, T_b_output_not_determined_by_mod7, poly_p_vacuum_basin_card_eq_52, and others); NgenThreeMechanismsUnified.lean (N_gen=3 three-mechanism unified certificate); CUP3DUniqueness.lean additions (gen2_outer_positions_constant, gen3_outer_positions_constant, gen2_gen3_topology_degenerate). Round 100 graduation (2026-06-09, zero sorry): MDLThreeLevelUnification.lean — P51 OP3 closed: three-level MDL Tower non-circularity machine-certified; polynomial p connects Level 1 theory selection, Level 2 PMDL dynamics, and Level 3 Born-rule adjudication in a single non-circular derivation. Wave-2 graduation (2026-06-11, commit d989f57, 8728 build jobs, zero sorry): TriangleLiftTheorem.lean + TriangleLiftStructural.lean — Direct-Interpolation Lift (ugp_orbit_interpolation_lift): the GF(7) rule is uniquely determined from UGP orbit data alone; sparsity floor CatAL; chirality census (orbit_chirality_census): exactly {Rule 110, Rule 124} survive ordering-by-chirality, CatAL. SpinSevenWallSpectroscopy.lean (14 theorems — directed wall/bump spectroscopy, exact gap law). CMCAPhysicalPoint.lean (8 theorems — tape spacing a=hbar*c/Lambda_GTE derived, ξ_kink=|Z_7|=7, Boundary Equivalence Theorem). tape_saturation_theorem (Tape Saturation Theorem CatAD | CSC, criterion proven minimal via Boundary Equivalence). ParityProjectionBattery, ParityProjectionForcing (777-form + 16807-recoding censuses). gte_trajectory_two_tile_containment + gte_two_tile_compilation_theorem. planck_eft_blocking_ratio + hosting_boundary_csc_equivalence. pmdl_carrier_pricing_chain (TemporalVoxelCC). GTECompilation (register-machine trajectory containment). Total: 334 modules. Cite using the Zenodo DOI after publication.