highPriorityTests_nodup
The theorem confirms that the high-priority empirical test list contains no duplicate entries. Researchers validating the Recognition Science empirical queue for C1-C9 theorems would cite it to guarantee a clean test ordering. The proof is a one-line decision procedure that directly computes the absence of duplicates on the explicit three-element list.
claimThe list consisting of the combination identifiers for planet strata, attention tensor, and regulatory ceiling is duplicate-free.
background
The module defines a priority queue for empirical tests attached to the C1-C9 cross-domain theorems. It records which protocols should be tested first and proves that every queued item is already covered by the formal empirical protocol. The upstream definition supplies the explicit list of three medium-priority tests: planet strata, attention tensor, and regulatory ceiling.
proof idea
The proof applies the decide tactic, which reduces the no-duplicates predicate to a decidable equality check on the concrete list of three identifiers.
why it matters in Recognition Science
This result guarantees structural integrity of the high-priority segment of the empirical queue. It supports the overall protocol that sequences immediate and high-priority tests without overlap before feeding into C1-C9 validations. No open questions are addressed.
scope and limits
- Does not establish physical validity of any listed test.
- Does not address low-priority or immediate tests.
- Does not guarantee runtime performance of the queue.
formal statement (Lean)
118theorem highPriorityTests_nodup : highPriorityTests.Nodup := by
proof body
Decided by rfl or decide.
119 decide
120