TAGC — On the Deductive Scope of the Inevitability Theorem for the Constitutional Graph G_16: A Logical Audit of the Foundational Proof

The Fundamental Emergence Theorem of Level L1 of the TAGC programme establishes the almost-sure emergence of a saturated connected subgraph G_16 (a copy of the Hasse diagram of the Boolean lattice 2^[4]) from the dynamics of relational steps on an infinite pool of Fundamental Informational Units (UIFs). The present work is not concerned with extending the theorem, but with characterising the exact logical scope of its published proof. By examining the proof step by step, we identify a condition that is logically required in the inductive step but is not formalised among the explicit hypotheses. We distinguish between weak availability (sufficient to justify the present proof) and strong availability (which would be required to iterate the argument). The analysis establishes that the published proof guarantees existence of at least one instance but does not establish iterability; its precise deductive boundary is established. No modification to the original theorem is proposed; its logical scope is delineated with rigour.