Manuscript Oai069-A@1 · Oai069-A.tex · definition · a4913aab

Definition: A Family 069 operational bridge

The exact remaining source-to-operation bridge · lines 1626–1648

Oai069-A@1#def:bridge

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A genuine application of the source correspondence to an operational recovery claim must supply:

  1. a verified instance of the categorical functor, or an independently constructed finite restriction with its precise domain and inverse;

  2. named objects and coefficient-extraction maps on both sides;

  3. positive finite realizations, traces, preparation maps, and complete reference conventions;

  4. implemented CPTP maps and an access-restricted decoder whose complete channel represents the specified task;

  5. comparison diagrams with the localization–Whittaker maps and their actual shifts and twists;

  6. the relevant central-torsor/transgression compatibility, including the natural-isomorphism coherence that channels alone do not detect;

  7. the required moving-point and collision compatibilities;

  8. separately justified errors between the categorical, finite-model, tested, and deployed tasks.

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