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mrwulf
bacad7a8b0
Three new proof files over the CurveField extraction, composing the proven group-law layer (no new axioms, no associativity assumed — computational layering over the abstract `edAdd`): - `Proofs/DsmTableSpec.lean` — `NafLookupTable5::from(&A)`: the 8 entries are valid `ProjectiveNielsPoint` caches of valid on-curve points denoting the odd multiples A, 3A, ..., 15A as the `edOdd` double-and-add recursion. 7 explicit loop peels over edwards_as_projective_niels_spec / add_projniels_law / compl_as_extended_law, seeded by edwards_double_law. `select`: both masserts (x odd, x < 16) DISCHARGED — panic-freedom is proven, not assumed; post enumerates all 8 digit cases. - `Proofs/DsmStepSpec.lean` — `proj_double_law` (the projective doubling denotes `edAdd P P`; same Z^2-scaled linear_combination discipline as the extended-coordinate law), `compl_as_projective_law` ((X:Z),(Y:T) to (XT:YZ:ZT) preserves the point), `naf_select_entry` (digit-indexed lookup returns THE entry: NafEntryOf r A ((x-1)/2)), and `dsm_step_p_law` / `dsm_step_b_law`: the three-way NAF digit step denotes `edDigit` — add the d-th odd multiple, add its negation, or pass through. - `Proofs/DsmLoopSpec.lean` — the 256-iteration Straus loop by GENUINE induction on the counter (one symbolic body walk, no unrolling): `dsm_loop_spec` — from the identity, the loop returns a valid on-curve point denoting `dsmFold ... edId 256`, the abstract double-and-add fold of both digit arrays over the table points. Digit and table hypotheses are exactly what the NAF spec and naf_table_spec provide (layering). check.sh wired: PROOFS + AUDIT_IMPORTS + 7 new CERTS (naf_table_spec, naf_select_spec, proj_double_law, compl_as_projective_law, dsm_step_p_law, dsm_step_b_law, dsm_loop_spec), each `#print axioms`-audited to exactly [propext, Classical.choice, Quot.sound]. Full check.sh green. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> |
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| .. | ||
| gen | ||
| Proofs | ||
| check-scalar.sh | ||
| check.sh | ||
| CurveField.llbc | ||
| CurveScalar.llbc | ||
| extract-scalar.sh | ||
| extract.sh | ||
| lean-guard | ||