deferredTests_nodup
The theorem asserts that the deferred empirical tests list contains no duplicate entries. Researchers maintaining the empirical validation queue for C1-C9 cross-domain theorems would cite it to confirm queue integrity before protocol execution. The proof is a one-line wrapper applying the decide tactic to the decidable Nodup predicate on the explicit two-element list.
claimThe list of deferred empirical tests, consisting of the quantum molecular depth and Erikson reverse combination identifiers, contains no duplicate entries.
background
The module OptionAEmpiricalQueue implements 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, with zero sorry or axiom statements. The upstream definition deferredTests supplies the concrete list containing the quantum molecular depth and Erikson reverse combinations.
proof idea
The proof is a one-line wrapper that applies the decide tactic to verify the Nodup property directly on the list definition.
why it matters in Recognition Science
This result secures the structural integrity of the deferred tests queue inside the empirical protocol foundation. It directly supports the module documentation claim that queued items are covered by formal protocols. No downstream theorems depend on it yet, leaving open the question of how the queue integrates with full C1-C9 empirical coverage.
scope and limits
- Does not assert that the listed tests confirm any physical claim.
- Does not enumerate all protocols required for C1-C9 coverage.
- Does not define priority ordering or execution order among tests.
formal statement (Lean)
124theorem deferredTests_nodup : deferredTests.Nodup := by
proof body
Decided by rfl or decide.
125 decide
126