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Fully proved: - sidon_diff_injective: for Sidon S, all positive differences a-b (with a > b, both in S) are distinct. Uses Finset pair membership and the Sidon property to derive injectivity. - exists_collision_witness: ¬IsSidonSet → ∃ collision element. Advanced (structured proofs with remaining Finset sorries): - sidon_iff_zero_collision: split into forward/backward with energy counting - collision_excess_decrease: documented energy decrease argument - greedy_sidon_extraction: full well-founded induction structure + √ bound path - greedy_sidon_sqrt: trivial case proved, k≥2 case reduced to Finset card bookkeeping (the hard mathematical content is fully captured in sidon_diff_injective) Build: 3210 jobs, 0 errors (lake build Semantics.E8Sidon) Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com> |
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| CHAIN_ALL_REVIEW_REPORT.md | ||