Library / First Principles Framework (FPF) - Core Conceptual Specification
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C.39.RO:4.4 - Explain what the operation supports

Recover the reason for the output over the proposed input range.

For a deductive construction, follow the argument with the case values left variable. State the premises used and inspect the branches, exceptional inputs and termination conditions that matter. A short bound can establish both an operation’s result and its optimality for a stated criterion, as in :5.1.

For an operation proposed from observations, identify the observed support and the conditions under which repeatability is expected. Use an available subject model when it supplies that connection. A changed physical setting may leave the mathematical operation intact while invalidating its application to the setup.

Keep the conclusion at that supported scope. Choose further proof, model development or observation when the receiving use needs it and the obtainable contribution warrants its cost.