c1_protocol
The declaration establishes that the C1 cognitive tensor combination satisfies the protocol-falsifiable predicate, confirming an associated dataset class, predicted observable, and failure mode exist in the registry. Researchers verifying empirical coverage for Recognition Science Option A predictions would cite this result for the C1 case. The proof is a direct one-line wrapper invoking the general protocolFalsifiable_all lemma.
claimThe C1 cognitive tensor combination is protocol-falsifiable: there exist a dataset class $d$, predicted observable $o$, and failure mode $f$ such that datasetClass assigns $d$, predictedObservable assigns $o$, and failureMode assigns $f$ to this combination.
background
This module formalizes the falsifier registry as Lean propositions so every implemented C1-C9 combination carries a dataset class, predicted observable, and failure mode. ProtocolFalsifiable (c) is the predicate asserting such a triple exists with exact matches to the registry functions for combination c. The upstream theorem protocolFalsifiable_all proves the predicate for any combination by unfolding the definition and supplying the registry values via reflexivity.
proof idea
The proof is a one-line wrapper that applies protocolFalsifiable_all to the specific combination .c1CognitiveTensor.
why it matters in Recognition Science
This theorem supplies the C1 coverage entry inside empiricalProtocolCert, which aggregates falsifier protocols across C1, C3, C5, and C8 to certify total coverage. It directly supports the module's guarantee that no implemented Option A theorem lacks an empirical falsifier protocol. The result closes one concrete instance in the chain of empirical testability for Recognition Science predictions.
scope and limits
- Does not specify the concrete dataset class or observable assigned to C1.
- Does not prove empirical validity or success of the C1 prediction.
- Does not cover combinations outside the implemented C1-C9 registry entries.
Lean usage
c1_covered := c1_protocolformal statement (Lean)
108theorem c1_protocol :
109 ProtocolFalsifiable .c1CognitiveTensor :=
proof body
One-line wrapper that applies protocolFalsifiable_all.
110 protocolFalsifiable_all .c1CognitiveTensor
111