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Prove the existing H4Lagrangian bounds without changing the formulas - #5929

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dmitrii-f-t27:codex/h4-lagrangian-bounds
Oct 4, 2026
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dmitrii-f-t27 merged 1 commit into
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dmitrii-f-t27:codex/h4-lagrangian-bounds

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@dmitrii-f-t27 dmitrii-f-t27 commented Oct 4, 2026 •

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Two existing H4Lagrangian theorem bodies fail against the pinned Mathlib. This proves their original bounds using exponential, pi and square-root inequalities, preserving every formula, definition and theorem statement. The Koide comment now accurately describes the existing relative-error < 1 proposition; this does not establish a one-percent physical prediction.

Fixes #5927. Proof-only child of #3142; its CI permission-policy question remains open.

Validation: pinned Lean 4.31.0 / Mathlib 800238935b9c4b495da5771a0dac0db5549b26ab compiled the complete H4 file locally. Formula and theorem-head bytes were independently compared with the baseline. Both changed theorem axiom reports contain only propext, Classical.choice and Quot.sound, with no added sorry or custom/native axioms. Exact-source Linux CI also reports Built Trinity.H4Lagrangian (6.8s). Required validate, check-linked-issue and parse-ratchet, plus the Corpus ratchet and GitGuardian, pass.

The global Lake job remains red on unchanged TernaryFPGABoot parser/API/proof errors; its generic jitter statement has a verified 1000/1002 counterexample. The other advisory build job remains red. This PR claims the two H4 proofs only, not a green whole library, hardware measurements, or full inference. No ratchet ledger, compiler, generated source or admissions changed.

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Discharge the two existing H4Lagrangian numerical bounds without changing their statements

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