firstPassSchedule_length
The first-pass empirical test schedule for Option A has length exactly five. Researchers building empirical validation pipelines cite this to fix the size of the initial test sequence before mapping to pipelines or programs. The proof evaluates the explicit list definition via a single decision procedure.
claimLet $S$ be the ordered list of the first five empirical tests in Option A. Then $|S| = 5$.
background
The module fixes an explicit execution order for the first five empirical tests attached to Option A after the queue module assigns priorities. The upstream definition firstPassSchedule supplies the concrete list [c3OncologyTensor, c8MillerSpan, c5AttentionTensor, c9RegulatoryCeiling, c2PlanetStrata]. This establishes a deterministic schedule whose length is then certified for downstream use.
proof idea
The proof is a one-line wrapper that applies the decide tactic to the equality between the length of the explicitly defined list and five.
why it matters in Recognition Science
This length fact is invoked by firstPassPipelines_length, firstPassProgram_length, and empiricalScheduleCert to establish fixed sizes and construct the schedule certificate. It anchors the initial empirical sequence in the foundation layer before further composition steps.
scope and limits
- Does not establish the validity or optimality of the chosen test order.
- Does not derive the schedule from the Recognition Composition Law or phi-ladder.
- Does not address correctness of later empirical stages or physical predictions.
Lean usage
rw [firstPassSchedule_length]formal statement (Lean)
33theorem firstPassSchedule_length :
34 firstPassSchedule.length = 5 := by
proof body
Decided by rfl or decide.
35 decide
36