every_priority_has_protocol
Every combination identifier from the Option A registry satisfies the protocol-falsifiability condition by construction, possessing matching dataset class, predicted observable, and failure mode entries. Researchers validating cross-domain theorems C1-C9 would cite this result to confirm that all queued empirical tests are formally covered. The proof is a direct one-line application of the universal protocol theorem.
claimFor every combination identifier $c$ in the Option A registry, there exist a dataset class, predicted observable, and failure mode such that the registry entries for $c$ match them exactly.
background
The module establishes a priority queue for empirical tests attached to the C1-C9 cross-domain theorems. It records test ordering and proves formal coverage by the empirical protocol without supplying data. ProtocolFalsifiable holds for a combination when it possesses a dataset class, predicted observable, and failure mode with exact registry agreement. The upstream theorem protocolFalsifiable_all states that this property holds for every combination identifier by direct construction using the three registry fields.
proof idea
The proof is a one-line wrapper that applies the universal protocol falsifiability theorem to the supplied combination identifier.
why it matters in Recognition Science
This result feeds the empirical queue certification definition, which assembles immediate and high priorities such as C3, C8, and C5. It closes coverage in the foundation layer, ensuring every queued item carries a falsification protocol. The declaration aligns with the Recognition Science emphasis on formal empirical interfaces before data collection.
scope and limits
- Does not supply or analyze experimental datasets.
- Does not verify correctness of any predicted observable.
- Does not cover combinations outside the defined registry.
- Does not rank priorities or compute queue order.
formal statement (Lean)
68theorem every_priority_has_protocol (c : CombinationID) :
69 ProtocolFalsifiable c :=
proof body
Term-mode proof.
70 protocolFalsifiable_all c
71
72/-- The two immediate tests are C3 and C8. -/