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Library / First Principles Framework (FPF) - Core Conceptual Specification
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B.5.RA:4.2 - Recover the main reason

Read for the difficulty the argument overcomes and the contribution that overcomes it. Ask why a construction, lemma, decomposition or comparison appears where it does.

Express the main reason in a short explanation: what is established first, what that makes possible, and how the remaining step reaches the conclusion. This may involve a reduction to an easier problem, an invariant, an exhaustive case distinction or another subject method. Use the method actually present in the source.

The first explanation is a working interpretation. Check it against the decisive steps. If it cannot explain why those steps are needed, revise it rather than retaining an attractive summary unrelated to the argument.