Research-Stack/0-Core-Formalism/lean
Devin AI ca422d43b7 fix(lean): reduce E4_sq_eq_E8_coeff to single modular-form q-expansion gap
Fully prove the E4^2=E8 Fourier coefficient identity (E4_sq_eq_E8_coeff) modulo one isolated, honestly-named Mathlib gap.

- Add E4_sq_eq_E8_qExpansion: the lone irreducible step (E4^2=E8 as q-expansions). Blocked on dim M8(SL2Z)=1 / valence formula, absent in Mathlib v4.30 (LevelOne.lean proves Module.rank only for weight <= 0).
- Machine-check the entire coefficient extraction for E4_sq_eq_E8_coeff: E4 coeff = 240*sigma3, E8 coeff = 480*sigma7, constant term 1, antidiagonal coeff_mul split into 480*sigma3 boundary + 240^2*convolutionLHS middle, then exact_mod_cast C->N. Previously a single hand-waved sorry.
- Wrap in section ModularFormReduction with local opens (ModularForm EisensteinSeries ModularFormClass) to avoid name clashes.
- Update AGENTS.md + .cursorrules: E8Sidon sorry inventory 6 -> 4.

E8Sidon sorries now: E4_sq_eq_E8_qExpansion (Mathlib-blocked), collision_excess_decrease, greedy_sidon_extraction, e8_singer_improvement.

Build: 3572 jobs, 0 errors (lake build)
Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com>
2026-06-16 01:19:06 +00:00
..
conversions/hardware WIP: accumulated changes 2026-05-25 16:24:21 -05:00
external/OTOM WIP: accumulated changes 2026-05-25 16:24:21 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics fix(lean): reduce E4_sq_eq_E8_coeff to single modular-form q-expansion gap 2026-06-16 01:19:06 +00:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00