INDEPENDENT C872 C889.json

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    "one_key": "For h!=0, input hm, gcd(p,q)=1: p*m/q integral iff q dividesm.",
    "word": "Every reduced prefix denominator must dividem; the intersection is theirLCM.",
    "integer_obstruction": "The fractional image gap excludes integral whole-field placement for every common anchor.",
    "anchor_order": "Direct affine expansion gives(k-1)(l-1)(a-b), constant on the full path."
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    "source_authorized": "File51a civil EE/EJ chains retained; inherited483 and related completions remain inherited.",
    "diagnostic": "Full unlicensed Key image matrices and mixed-anchor compositions remain formal diagnostics.",
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    "NT": "Positive slot ranges are finite,0..76; named ledger positions do not become historical dates."
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  "nonblocking_notes": [
    "The one-Key theorem conventionally assumes a nonzero grid spacingh (positive for chronological units).",
    "For these three Keys on70Z, integer-output and slot-return index sets coincide; C888 correctly states the distinction is conceptual here, rather than claiming extra failures."
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