c3_observable
The theorem asserts that the predicted observable for the C3 oncology tensor equals multiplicative therapy response. Researchers maintaining the cross-domain falsifier registry in Recognition Science cite it to bind the C3 theorem to a concrete empirical test. The proof is a one-line reflexivity that follows immediately from the case definition of predictedObservable.
claimpredictedObservable applied to the C3 oncology tensor combination equals the multiplicative therapy response observable.
background
The Option A Falsifier Registry pairs each of the nine C1-C9 cross-domain theorems with an empirical test class. This keeps the falsifiers attached to the Lean theorem bundle so the cross-domain work cannot drift into unfalsifiable numerology. The upstream definition predictedObservable maps each CombinationID to its PredictedObservable, with the explicit case for the C3 oncology tensor sending it to multiplicative therapy response.
proof idea
The proof is a direct reflexivity step that matches the case clause in the definition of predictedObservable for the C3 oncology tensor.
why it matters in Recognition Science
This declaration supplies one of the nine observables counted inside falsifierRegistryCert, which certifies the registry structure. It implements the module's stated purpose of attaching empirical falsifiers to the C1-C9 theorems. The placement supports the Recognition Science requirement that cross-domain claims remain testable rather than numerological.
scope and limits
- Does not prove the empirical validity of the C3 oncology tensor theorem.
- Does not supply experimental data or statistical tests.
- Does not define or extend the mapping for any combination other than C3.
- Does not address the content of the multiplicative therapy response observable itself.
formal statement (Lean)
196theorem c3_observable :
197 predictedObservable .c3OncologyTensor = .multiplicativeTherapyResponse := rfl
proof body
198