- `Proofs/DsmNafLoadSpec.lean` (generated) — the byte-to-word LE load of
`non_adjacent_form`: four 8-peel inner walks (t |= bytes[8k+bi] << 8bi)
and the outer 4-peel filling x_u64[0..3]; x_u64[4] stays 0 (the pad word
the cross-word window reads at positions >= 251).
- `Proofs/DsmNafMath.lean` — the pure arithmetic of the w=5 digit loop:
`nafSum`/`nafSum_set`; window-read lemmas `naf_window_single` /
`naf_window_cross` (cross-word disjoint-OR read sees (V >> pos) mod 32);
invariant steps `naf_even_step` / `naf_odd_step` (Nat.mod_mul telescope:
digit + promoted carry reconstruct the consumed bits EXACTLY, in ZZ);
carry-kill `naf_carry_even` / `naf_carry_odd` (V < 2^253 forces the
carry dead before bit 256); `naf_exit` (nafSum naf 256 = V exactly).
The digit-loop walk (stage 3) composes these next; its invariant is
nafSum naf 256 + carry*2^pos = V mod 2^pos
with digits at k >= pos all zero and carry = 1 -> pos <= 254.
CERTS += naf_load_spec, naf_window_cross, naf_exit (axiom-clean).
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
