Library / Method Engineering Principles Framework
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ME.25:9 - Consequences

Mathematical reasoning can produce new method candidates rather than merely describe established practice. It also makes a rejected candidate useful: the failed transformation condition identifies what would have to change.

The method can reduce repeated work, change information timing or expose an unavailable operation. It may also require new support or transfer burden to another participant. A transformed rule becomes useful only at the scope where its correspondence and realization conditions hold.

For human and AI work, a candidate may redistribute operations between agents. The mathematical construction exposes the required contribution; capability and authority still determine who can provide it.