Fewer, implied operation

If two processes handle the same materials, the simpler one is typically inherently safer. Simplicity usually implies that operating conditions are closer to ambient and less layers of protection are needed. However, the simpler process may also produce fewer near misses. 

Notice that the condition [A, P] = 0 in Theorems V and VI is indeed sufficient for (4.10). There clearly exist many other sufficient conditions on A and B causing (4.10) to be fulfilled, for example, PAQ = 0 = PBQ, PA = 0 = PB, PA = 0 = BQ, etcetera. All such conditions necessarily imply a relation between A, B, or both, and P, Q, or both. Consequently, although more general. Theorems VI and VII have fewer applications than Theorem V because all the sufficient conditions obtainable from (4.10), except that of Theorem V, cannot be verified exactly. This is because the d true eigenfunctions that define P are not known a priori and can be determined a posteriori only approximately. Except for H and operators commuting with H, it is thus in general impossible to determine if a particular operator commutes with P. Also, conditions that involve Q explicitly, for example, PAQ = 0 = PBQ are not readily established. 

A common assumption is that the operational number of rules is fewer because generally we do not need to state all the rules, since other rules are implied by them. This is evidently true for rules forming the matter of syllogisms. In particular, there is the common assumption that complex rules apply to patients. Empirical observation of the zero weight for pregnant male would give that away, but there are other more symmetrical examples. 

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