fix: π* index, CMS closed interval, Goldbach/PT–JY blueprints - #1713
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Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
Fold leftover from AlexKontorovich#1717 into this PR. Co-authored-by: Cursor <cursoragent@cursor.com>
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* fix(IEANTN): index Buthe_theta primes from 1, not 0 Matches the π*/ψ indexing cleanup from #1713; Icc 0 and Icc 1 agree after filtering primes, and the comparison lemmas are updated. * fix: prove Icc 0/1 prime filter equality without ⟨⟩ on Pi and_congr_left_iff left an implication goal; use constructor instead. * refactor: share prime_filter_Icc_zero_eq_one for Buthe_theta Deduplicate the Icc 0/1 prime-filter proof used by both comparison lemmas.
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Motivation
Several stub/blueprint statements still diverged from the papers or from the Lean definitions they wrap: Büthe π*/ψ indexing, CMS Thm 5 closed interval, odd Goldbach start, and PT/JY
livsEπ/Li.Scope
Defs/Buthe/TMEEMT: indexπ*and Bütheψfrom 1CarneiroEtAl2019RH: closed interval[x, x+h](Stanford CMS)odd_conjectureblueprint: 5 → 7li→Li(matchEπ)Supersedes #1708, #1710, and #1717. Refs #1712.
Test plan
EπdefinitionsMade with Cursor.