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817fbaca6c
Formalizes the core equation extracted from atproto's "no instances" principle:
α(x₁) + β(y₁) = α(x₂) + β(y₂) → x₁ = x₂ ∧ y₁ = y₂
Key additions (0 sorry):
- IsProductSidon: injectivity of joint encoding f(x,y) = α(x) + β(y)
- CrossDiffDisjoint: (Δ image α) ∩ (Δ image β) = {0}
- productSidon_injective: CrossDiffDisjoint → IsProductSidon
- isProductSidon_iff_crossDiffDisjoint: equivalence (given injective encodings)
- sidonPartition_implies_productSidon: Sidon set partition → ProductSidon pair
- atmosphere_sidon_principle: equal observables → same host/app decomposition
Extends sidon_diff_injective (E8Sidon §8) from intra-set to cross-set differences.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Xrttjg3619VRrMjxqUPUkL
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| .. | ||
| conversions/hardware | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| singer-theorem-lean | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||