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Close 3 sorry tokens (forward, backward, erdos30): - sidon_iff_zero_collision forward: double-inclusion proves filter = same∪swap, inclusion-exclusion gives card = (2k-1)k exactly. - sidon_iff_zero_collision backward: cardinality squeeze shows filter = same∪swap when excess=0, then classify each element via same/swap membership. - erdos30_e8_conditional: difference injection into Icc 1 N + trichotomy partition gives k(k-1) ≤ 2N, contraposition via nlinarith closes the bound. E8Sidon sorry count: 9 → 6 (across 6 theorems). All remaining sorries documented with TODO(lean-port). Build: 3572 jobs, 0 errors (lake build) Co-Authored-By: Allaun Silverfox <bigdataiscoming+9i37y6j2@protonmail.com> |
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| lean | ||
| otom | ||
| receipts | ||
| rust/ftdi_gimbal | ||
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| README.md | ||
0-Core-Formalism
Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.
No external dependencies. All other layers depend on this.
Contents (Target)
| Source | Destination |
|---|---|
0-Core-Formalism/lean/Semantics/ |
0-Core-Formalism/lean/Semantics/ |
core/ |
0-Core-Formalism/core/ |
Concepts
- bind — State → (State → Action) → State
- TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
- Builder/Judge/Warden — roles mapped to hardware registers
- OTOM — Ordered Transformation & Orchestration Model
Build
cd "0-Core-Formalism"
lake build