saymrwulf 5861c73c22 Major didactic overhaul: pen-and-paper worked examples + in-book solution pathways, 2x volume (53 -> 106 pages) ...

- pen-and-paper worked examples in all 12 chapters, using the REAL
  constants throughout: 2^-64 waiting-time arithmetic, headroom budgets,
  hand type-checking, rfl traces, full goal-state boards, the column-sum
  audit at 2^54, inverting 19 mod p via Euclid, the x19 fold at real
  weights, denoting p itself (telescope), the 16p audit (8 fails by 151),
  the 254+11 inversion-chain bookkeeping, the substitution test, sizing
  the 28-vs-1000 extraction, cofactor/torsion arithmetic, and the full
  Bernstein-Lange completeness derivation
- CORRECTNESS FIX: ch7 asserted a false factorization of p-1; replaced
  with the computationally verified p-1 = 2^2 * 3 * 65147 * Q (Q 71-digit
  prime), witness w=2 verified for all four Pratt conditions
- every chapter's exercises now followed immediately by 'Solutions and
  pathways' (pathway first, then answer), incl. new exercises
- NEW Interlude: a complete two-clause verification done entirely by
  hand, then mapped line-by-line onto the compiled Lean proof
- NEW appendices: A pen-and-paper toolkit (8 recipe cards + drills +
  answers), B guided walkthroughs of every exercise-file hole, C tour of
  the real repositories; plus glossary, instructor notes, 13-week plan
- preamble: worked-example box, solution macros, math-safe inline code

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

2026-07-03 10:55:00 +02:00

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