empiricalDeliverablesCert
plain-language theorem explainer
This definition constructs the top-level certificate bundling nine empirical deliverables for the Option A action plan in Recognition Science. Researchers auditing the first-pass schedule against the phi-ladder would cite it to confirm the auditable outputs and their mappings. The construction succeeds as a direct record literal that substitutes independently proved lemmas for cardinality, injectivity, list equality, and the c3/c5/c8 cases.
Claim. Let $D$ be the finite type of deliverables and $f : C → D$ the assignment of a deliverable to each Option A combination. The structure EmpiricalDeliverablesCert asserts that $|D| = 9$, that $f$ is injective, that the first-pass list equals the explicit sequence of nine notebooks and tables, that this list has length 9 and no duplicates, that the scheduled deliverables satisfy the HasDeliverable predicate, and that the c3, c5, and c8 cases map to the oncologyFactorModelNotebook, attentionPlateauPlot, and memoryCollapseNotebook respectively. The definition empiricalDeliverablesCert supplies the instance in which all these hold.
background
The module turns the first-pass schedule of the Option A empirical action plan into a concrete, auditable collection of outputs. Central definitions include the inductive type Deliverable of possible artifacts, the function deliverableFor that maps each combination to its assigned deliverable, and firstPassDeliverables as the initial ordered list of nine items. The structure EmpiricalDeliverablesCert packages the required properties of this collection into a single record.
proof idea
The definition is a direct record construction. Each field of EmpiricalDeliverablesCert is populated by the corresponding sibling theorem or definition: nine_deliverables receives deliverable_count, deliverable_injective receives deliverableFor_injective, first_pass_deliverables receives firstPassDeliverables_eq, first_pass_length receives firstPassDeliverables_length, first_pass_nodup receives firstPassDeliverables_nodup, scheduled_deliverables receives scheduled_has_deliverable, and the three specific outputs receive c3_deliverable, c5_deliverable, and c8_deliverable.
why it matters
This supplies the terminal certificate for the empirical deliverables section of the Option A track. It assembles the concrete artifacts (oncology factor model notebook, memory collapse notebook, attention plateau plot, regulatory ceiling table, planet phi ratio table, and the remaining four) that the Recognition Science framework expects to be produced and checked. Within the larger structure it closes the deliverables module, providing the auditable objects that would later be confronted with the J-cost function, the phi-ladder mass formula, and the Berry creation threshold. No downstream theorems depend on it yet; it functions as the reference instance for the entire Option A empirical plan.
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