sensorModalitiesCert
plain-language theorem explainer
The declaration constructs the certificate SensorModalitiesCert by setting its five_modalities field to the result of the cardinality theorem. Robotics researchers would reference it to confirm the five-modality structure when building sensor models from configDim. The definition is a direct one-line assignment that reuses the decided enumeration.
Claim. Let $S$ denote the structure requiring that the finite cardinality of the sensor modality set equals five. The definition supplies the instance of $S$ whose field is populated by the theorem establishing this cardinality.
background
The module introduces five canonical robotic sensor modalities tied to configDim equal to five: vision for external geometry, lidar for active ranging, radar for long-range motion sensing, tactile for contact detection, and proprioceptive for internal body state. The structure SensorModalitiesCert encodes the single requirement that the finite type of these modalities has cardinality exactly five. The upstream theorem sensorModality_count establishes the equality by direct decision.
proof idea
The definition is a one-line wrapper that applies the theorem sensorModality_count to populate the five_modalities field of the SensorModalitiesCert structure.
why it matters
This definition supplies the concrete witness for the five-modality assumption in the robotics layer. It supports applications that rely on configDim D equals five, consistent with the framework's derivation of spatial dimensions from the eight-tick octave. No downstream uses are recorded yet.
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