c5_ready
plain-language theorem explainer
The declaration establishes that the attention tensor combination meets the four-layer empirical readiness predicate in the Option A gate. Researchers certifying operational completeness for specific tensor cases in Recognition Science empirical pipelines would cite it. The proof is a direct one-line application of the general empiricallyReady_all theorem that assembles the conjunction from the four component lemmas.
Claim. The combination corresponding to the c5 attention tensor satisfies the empirical readiness predicate, i.e., it possesses a falsifiable protocol, an analysis action, a deliverable artifact, and a unified pipeline record.
background
The module sets the readiness gate for Option A empirical work: a combination is ready precisely when it carries all four operational layers (falsifier protocol, analysis action, deliverable artifact, unified pipeline record). The central definition states that a combination c is empirically ready when ProtocolFalsifiable c, HasAnalysisAction c, HasDeliverable c, and HasPipeline c all hold simultaneously.
proof idea
The proof is a one-line term wrapper that applies the upstream theorem empiricallyReady_all directly to the c5 attention tensor combination identifier, which in turn invokes the four component lemmas protocolFalsifiable_all, hasAnalysisAction_all, hasDeliverable_all, and hasPipeline_all.
why it matters
This theorem supplies one field of the EmpiricalReadinessCert structure that aggregates readiness proofs across all implemented combinations. It thereby closes the operational checklist for the attention tensor case and supports the module-level claim that Option A empirical work is ready. Within the Recognition Science framework the result sits downstream of the forcing chain (T0-T8) and the Recognition Composition Law but addresses only the empirical gate rather than the derivation of constants or the phi-ladder mass formula.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.