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Theorem pia-mon

⊦ fragω(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psf, paf) → ⌜πra(lstep, rstep, lren, rren, psf.take(n + 1), paf.take(n))⌝ ⊑ ⌜πra(lstep, rstep, lren, rren, psf.take(2 + n), paf.take(n + 1))⌝

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