maintenanceStrategiesCert
This definition instantiates the MaintenanceStrategiesCert structure by assigning its five_strategies field the value of the cardinality theorem for the MaintenanceStrategy type. Systems engineers or operations researchers applying Recognition Science to maintenance protocols would cite it to confirm that exactly five strategies align with configDim equal to 5. The construction is a direct one-line assignment referencing the decidable count result.
claimThe structure MaintenanceStrategiesCert is instantiated by setting its field five_strategies to the established result that the cardinality of the MaintenanceStrategy type equals 5.
background
The module defines five canonical maintenance strategies tied to configDim D = 5: reactive (run-to-failure), preventive (schedule-based), predictive (model-based), condition-based (sensor-based), and reliability-centered (system-criticality-based). These exhaust the operational protocols under the given dimensional constraint, with the module reporting zero axioms or sorries.
proof idea
This is a one-line wrapper that assigns the theorem maintenanceStrategy_count directly to the five_strategies field of the MaintenanceStrategiesCert structure.
why it matters in Recognition Science
The definition supplies the concrete certificate linking configDim = 5 to the enumerated maintenance strategies in the operations layer. It closes the verification step for protocol completeness within the Recognition Science framework, supporting the module's claim of full coverage without axioms. No downstream uses are recorded, leaving its role as a terminal certificate in the operations depth.
scope and limits
- Does not enumerate or name the individual strategies.
- Does not derive the count from the Recognition Composition Law or forcing chain.
- Does not address time evolution or dynamic updates to the strategy set.
- Does not connect to spatial dimension D = 3 from the T8 step.
formal statement (Lean)
32def maintenanceStrategiesCert : MaintenanceStrategiesCert where
33 five_strategies := maintenanceStrategy_count
proof body
Definition body.
34
35end IndisputableMonolith.Operations.MaintenanceStrategiesFromConfigDim