additiveManufacturingDefectsCert
plain-language theorem explainer
The definition constructs a certificate instance confirming exactly five additive manufacturing defect classes under the Recognition Science configDim model. Materials physicists simulating 3D printing would cite it to anchor the defect count at five. Construction proceeds by direct assignment of the upstream cardinality result into the required structure field.
Claim. Define the certificate asserting that the finite cardinality of additive manufacturing defect types equals five by assigning the established cardinality result to the sole field of the certificate structure.
background
The module introduces five canonical defect classes in additive manufacturing: porosity, lack-of-fusion, keyhole voids, residual stress, and surface roughness. These are identified with configuration dimension D equal to 5 in the Recognition Science materials model. The structure requires a proof that the cardinality of the defect type set is 5. An upstream theorem establishes this equality by decision procedure.
proof idea
One-line wrapper that assigns the result of the cardinality theorem to the five_defects field of the certificate structure.
why it matters
This supplies the concrete certificate for defect enumeration in the materials application of Recognition Science. It realizes the configDim D = 5 assertion from the module documentation. The declaration closes the enumeration step for additive manufacturing defects without further downstream dependencies recorded.
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