λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript Em01-A@1 · Em01-A.tex · section · 880b67af

The objects that must be frozen

What would constitute an actual graph bridge? › The objects that must be frozen · lines 1410–1438

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Before a prepared response can be used in the joint-graph problem, the bridge must specify at least:

  1. the input and output manifolds and residual bundles;

  2. the actual prepared source distribution and support class;

  3. the internal presentation space and reconstruction map;

  4. the complete retained branch sum, tensor coefficients, vertex operators, and grouped quantum cross-lines;

  5. the proved canonical domain, without enlarging it by an unproved complement identity;

  6. the characteristic test space, correction parameters, contact conditions, and required output wavefront cone.

A statement of equality must then compare distributions on the full specified test space. Equality after a witness contraction is only an observation of that statement.

The supplied XIV-I passage explicitly distinguishes its reconstructed internal sum from the missing operation of composition with the grouped cross-lines XIVi (Theorem thm:I3, lines 1459–1548). The supplied XIV-J reference is for the supported sector away from its stated characteristic set, not the full six-branch target XIVj (Theorem thm:reference, lines 1215–1299).