A.19:5.1.6 - Normalized values, classes and representative choice
Subject-pattern note. A.19.UNM governs the directed transformation, optional equality-of-output relation ≡_UNM and NormalizationFix. Cite the selected method instance, actual domain, target, preservation/loss basis and validity conditions when state-space reasoning uses that result.
For an equality, join, acceptance predicate or comparison, state which distinctions its answer requires. A directed normalization suffices when its declared preservation basis supports that answer. A many-to-one normalization requires the receiving query to be constant on its classes; otherwise retain the original distinction, refine the normalization or return the missing basis. Forming the set of classes does not prove an operation on them well defined.
If a state-space operation is inherited by classes, require compatible outputs and, for a partial operation, representative-independent availability under A.19.UNM. Cite a NormalizationFix only when an established class use needs a representative; choosing one does not restore the actual original state. Keep equality of labels separate from the claimed state or value equality.