rh_from_rcl_completion_boundary
plain-language theorem explainer
The boundary transport certificate implies the Riemann hypothesis and is equivalent to the assertion that no defect sensor carries nonzero charge. Researchers deriving the Riemann hypothesis inside the Recognition Science program from the recognition composition law would cite this as the final assembly step. The proof is a one-line term pairing the implication lemma with the biconditional equivalence from the boundary transport module.
Claim. Let $B$ be the boundary transport certificate. Then $B$ implies the Riemann hypothesis, and $B$ is equivalent to the statement that every defect sensor $s$ satisfies $s$.charge $= 0$.
background
The module assembles the final steps of the Riemann hypothesis derivation from recognition composition law data. The sole remaining nontrivial input is the boundary transport certificate, defined as the explicit RS physical bridge that carries realized annular collapse to the T1-bounded Euler ledger boundary. Upstream results supply the eight-tick phase structure, classical fluid bridges, and simplicial ledger edge lengths that feed into the certificate construction.
proof idea
The proof is a one-line term wrapper that applies the implication from riemann_hypothesis_from_rcl together with the biconditional boundaryTransportCert_iff_rh_core.
why it matters
This theorem isolates the final obstruction in the RH_From_RCL module, recording that the boundary transport certificate is both sufficient for the Riemann hypothesis and equivalent to the no-nonzero-charge core. It sits at the end of the forcing chain after the recognition composition law and the eight-tick octave, leaving open the concrete establishment of the certificate itself. Downstream work would cite the parent implication and equivalence lemmas to close the derivation.
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