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Theorem frag-rec-end

⊦ frag(IOAut(start, step, ext))(⌜sl⌝ + ⌜s '⌝ , α + ⌜a '⌝ ) ↔ step(sl.last, a, s) ∧ frag(IOAut(start, step, ext))(⌜sl⌝ , α)

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