DOCX exact recovered files 29 bytes 98418 Julia hash entries 67 Lean hash entries 28 Theorem declarations and mappings 147 Archived O0/O3 outputs agree 6 Fresh Python integer replay 32768 states 753664 transitions depth 10 sum 300871 positive 300871 Minimum gap 34535026732 Fresh rational endpoint reproduction: 10 enclosure rows match exactly Fresh real-floor enclosure checks: 32768 ; precision rows reproduced: 19 Fresh gap-block reproduction: 128 rows match Fresh SymPy reproduction of actual Julia expressions and recorded normal forms: 97 exact zeros Archived axiom report: 147 declarations; dependencies: Classical.choice, Quot.sound, propext SCOPE: source comparison and independent Python replay; no fresh Lean or Julia execution.