pith. sign in
theorem

immediateTests_length

proved
show as:
module
IndisputableMonolith.Foundation.OptionAEmpiricalQueue
domain
Foundation
line
103 · github
papers citing
none yet

plain-language theorem explainer

The length of the immediate empirical tests list equals two. Researchers formalizing the priority queue for C1-C9 cross-domain theorem validation cite this to fix the size of the first bucket. The proof is a one-line decision procedure that evaluates the constant list definition directly.

Claim. The length of the list of immediate empirical tests equals 2.

background

The Option A Empirical Queue module defines a priority queue that records which protocols attached to the C1-C9 cross-domain theorems should be tested first. It proves every queued item is already covered by the formal empirical protocol but supplies no empirical evidence itself. The immediate tests are the two combination identifiers for the oncology tensor and Miller span cases.

proof idea

The proof is a one-line decision procedure that evaluates the explicit list definition and confirms its length equals two.

why it matters

This result is invoked by priorityBucketTotal to establish that the four priority buckets sum to nine items and by empiricalQueueCert to certify the queue structure. It contributes to the formal bookkeeping layer that tracks empirical protocols for the cross-domain theorems in the Recognition Science framework.

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