Manuscript XIII-A@1 · XIII-A.tex · section · f56e91c7

A5–A7: decision, loss ledger, and successor package

A5–A7: decision, loss ledger, and successor package · lines 1430–1465

Gate	Ending	Exact scope
A0	Recorded	Five mathematical inputs; remaining predecessors are boundaries.
A1	Constructed	Evaluation cancellation on $C_{W}$ under the uniform plateau hypothesis.
A2	Constructed as a display	Odd tangency and the exact free-differential formula; no closure claim.
A3	Proved obstructed	The coefficientwise vanishing space is not a two-sided ideal for any admissible ordering.
A4	Proved obstructed for universal preservation	An explicit admissible rank-one ordering change fails to preserve that vanishing space.
A5	Evaluation-only reading selected	No new quantum quotient or reduced algebra.
A6	Interface recorded; completion Unresolved	A Lie action, integrability, admission, and finite integration would require separate proofs.
A7	Recorded	No $R_{1}$ , retarded Ward defect, master equation, state, or loop is opened.

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