c5_failure
plain-language theorem explainer
The c5_failure theorem records that the C5 attention tensor combination carries the non-forty plateau spectrum failure mode. Cross-domain theorem authors in the Recognition Science framework cite this entry to maintain traceability between their results and empirical test classes. The proof reduces immediately to reflexivity on the failureMode definition.
Claim. The failure mode assigned to the C5 attention tensor combination equals the non-forty plateau spectrum.
background
The Option A Falsifier Registry maintains a finite mapping from each of the nine C1-C9 cross-domain theorems to an empirical test class and its associated failure mode. This structure ensures that theoretical claims remain linked to potential falsifying observations rather than drifting into unfalsifiable territory. The failureMode function, defined by case analysis on CombinationID, directly specifies the non-forty plateau spectrum for the C5 attention tensor case.
proof idea
The proof is a one-line reflexivity application that matches the right-hand side directly against the clause for the C5 attention tensor in the failureMode definition.
why it matters
This entry contributes to the falsifierRegistryCert by populating the failure mode for the C5 combination, ensuring the full set of nine combinations is covered. It supports the module's goal of attaching falsifiers to Lean theorem bundles for the C1-C9 results. In the Recognition Science framework, it helps prevent numerology by tying each theorem to a concrete empirical test class.
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