← Session 17 — Lean tier (i): elementary proofs (after crash)
thinking (193 chars)
No errors! `marginTilde_convex` COMPILES. The entire file now has sorries only at: lambda_pos_finite_height (line 55) and... let me check remaining sorries and run the full build + axiom audit.
`marginTilde_convex` **compiles**. Full build + axiom audit now.
tool: Bash ok
input
{
"command": "export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiSkeleton.lean 2>&1 | grep \"sorry\" | head; export PATH=\"$HOME/.elan/bin:$PATH\" && lake build 2>&1 | tail -3",
"description": "Check sorries and full build",
"timeout": 600000
}
result 2026-08-20 07:52:36Z → 2026-08-26 07:25:01Z
[master 6eaf531] ii'-6-DL-3 COMPLETE (session 040): the H_high stepping bound Lean-PROVED — zeta halving (norm_logDeriv_zeta_le_two_pow, 2^{-(sigma-2)}*dirichletC2), kernel envelope (one_add_div_pow_norm_le_exp_four_ninths, e^{(4/9)sigma} single-exponential replacing the unit-step geometric series), product envelope (Jlag_dogleg_norm_le_envelope, dirichletC2*(4e^{-c*sigma}+4*2^{-sigma})), the FTC machine integral_exp_neg_le, certified constants (cdog_gt c>=0.2487, exp_four_thirds_le e^{4/3}<=3.8073), and the CAPSTONE hIntegral_Jlag_dogleg_norm_le: ||HIntegral (Jlag n) 3 XR U|| <= 8.38 for 0<U, n<=(4/9)U^2, 3<=XR — NO perimeter. Full build GREEN (8773 jobs); audit: 21 decls, 3 standard axioms only, 0 sorryAx. E-034 re-validated at the Lean-charged constants (C_zeta3=0.5, HHigh=8.38): ALL CHECKS PASS (margins 13160/88911/2.458e26). Next: DL-4 (V_right drop).
8 files changed, 484 insertions(+), 32 deletions(-)
6eaf531 ii'-6-DL-3 COMPLETE (session 040): the H_high stepping bound Lean-PROVED — zeta halving (norm_logDeriv_zeta_le_two_pow, 2^{-(sigma-2)}*dirichletC2), kernel envelope (one_add_div_pow_norm_le_exp_four_ninths, e^{(4/9)sigma} single-exponential replacing the unit-step geometric series), product envelope (Jlag_dogleg_norm_le_envelope, dirichletC2*(4e^{-c*sigma}+4*2^{-sigma})), the FTC machine integral_exp_neg_le, certified constants (cdog_gt c>=0.2487, exp_four_thirds_le e^{4/3}<=3.8073), and the CAPSTONE hIntegral_Jlag_dogleg_norm_le: ||HIntegral (Jlag n) 3 XR U|| <= 8.38 for 0<U, n<=(4/9)U^2, 3<=XR — NO perimeter. Full build GREEN (8773 jobs); audit: 21 decls, 3 standard axioms only, 0 sorryAx. E-034 re-validated at the Lean-charged constants (C_zeta3=0.5, HHigh=8.38): ALL CHECKS PASS (margins 13160/88911/2.458e26). Next: DL-4 (V_right drop).
raw content_json (database row)
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