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Lift selected-component properties through abstract finite families #295

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@MarcIlunga

AnswersFresh.parallelAll currently repeats reindex, split, binary context and observer transport at the systems layer.

Prove the selected-component transport theorem using Specification and Constructs, with explicit property indices and their transport maps.

Acceptance:

  • Assume the property only for the selected component; supply binary-context preservation and structural transport explicitly.
  • Instantiate with AnswersFresh, retaining pick, μ and the nonnegativity hypothesis.
  • The typed finite-family proof becomes an application of the abstract theorem; primitive freshness proofs remain in RandomSystems.
  • Use existing property transport laws rather than a second property foundation.

Depends on: #294, #234. Related: #231.

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