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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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This proves the entire statement of L20 by machine-checked Lean, at tier 2 for the Lean sources of 2026-09-28 that the card's standing names; the prose route it formalizes is the prime tensor extraction route, and the Lean proof map lists the modules stage by stage. The formal entry point is Erdos.Research.Problem774.rootsOfUnity_analyticSidon in lean/Erdos/RootsOfUnitySidon/RootsOfUnitySidonAnalytic.lean: a cutoff prime with a uniform half parameter on every finite tail stage (exists_cutoff_uniform_stage_half_parameter) feeds analyticSidon_of_uniform_tail_parameter, which absorbs the finitely many small primes (SmallPrimeAssembly.lean) and passes from odd squarefree orders to all root orders (OddSquarefreeReduction.lean, RootsOfUnitySidon.lean, AntipodalSidon.lean). The definitions rootsOfUnity and AnalyticSidon live in RootsOfUnitySidon.lean.