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Sync blueprint and roadmap doc with HermiteL2.lean - #17
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The Gaussian-weighted Hermite orthogonality landed on main without blueprint coverage. Add Section 3.8 documenting derivative_hermite, integrable_aeval_mul_gaussian, hermite_integral_eq_zero_of_ne, hermite_integral_self, and hermite_orthogonality, framed as the first half of the Route B gating lemma (Hermite L²(R) basis) from INDEX_PAIRING.md's M3c/M1/M4 operator-bridge roadmap. Also update INDEX_PAIRING.md's progress tracker and Mathlib-inventory table to reflect that the orthogonality half is done, with normalization + completeness still open. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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Summary
HermiteL2.lean(merged in PR #16) landed without blueprint coverage. This adds it.derivative_hermite,integrable_aeval_mul_gaussian,hermite_integral_eq_zero_of_ne,hermite_integral_self, andhermite_orthogonality, framed as the first half of the Route B gating lemma (HermiteL²(ℝ)basis) fromdocs/INDEX_PAIRING.md's M3c/M1/M4 operator-bridge roadmap. Marked "Status: partial (orthogonality only)" since normalization andL²completeness are still open.INDEX_PAIRING.md's progress tracker and Mathlib-inventory table to reflect that the orthogonality half is done.scripts/axiom_report.leanalready tracked the file's declarations correctly (done as part of #16), and the README's "Current status" table is intentionally a curated highlights list (it omits several other example files too), so left as-is.Test plan
lake buildclean.\lean{}-referenced declarations verified via#checkto match the stated theorems exactly.🤖 Generated with Claude Code