Manuscript XXII-C@1 · XXII-C.tex · section · b9a05a24

What is proved and what remains open

Component ledger and release status › What is proved and what remains open · lines 1416–1491

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{}1.14

ItemStatusExact scope
ItemStatusExact scope
Base class and exact accessDefinedTripartite qubit processes, separately tested countable family
Base-class nonemptinessProvedLemma lem:base; not admissible-subclass non-vacuity
Exact signalling queryProvedBinary reduction and attained finite-dimensional maximum
Component partial orderProvedTheorem thm:order; components, not raw cyclic events
Order and feasibility covarianceProvedMatched operational equivalence; no invariant selected embedding
Single-valued affine constructionOpenNo in (eq:selector)
Successful finite hypothesis packageOpenNo witness for
Faithful generated representationOpenNo member of selected for admissible data
Complete countermodel auditOpenNo full interpretation and exclusion package
Homogeneity and strict convexityOpenNeither operationally derived nor satisfied by a constructed cone
Lorentz classification applicationNot performedNo extracted cone meeting its hypotheses
Continuum or event extensionNot constructedInterfaces and proof obligations only
Geometric causal embeddingSeparateRequires an independently supplied carrier and certificate

The statement that “none of O1–O6 has been discharged” would be incorrect for this revision: the abstract quotient order theorem and several interface properties are proved. The cone-selecting conjunction of obligations remains unfulfilled.