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Step * of Lemma select-filter-from-upto-increasing

∀[n,m:ℤ]. ∀[P:{n..m-} ⟶ 𝔹]. ∀[i,j:ℕ||filter(P;[n, m))||].  filter(P;[n, m))[i] < filter(P;[n, m))[j] supposing i < j
BY
{ (InstLemma  `select-filter-from-upto-order-preserving` [] THEN RepeatFor 5 (ParallelLast') THEN D -1 THEN Auto) }

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Latex:

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Latex:
\mforall{}[n,m:\mBbbZ{}].  \mforall{}[P:\{n..m\msupminus{}\}  {}\mrightarrow{}  \mBbbB{}].  \mforall{}[i,j:\mBbbN{}||filter(P;[n,  m))||].
    filter(P;[n,  m))[i]  <  filter(P;[n,  m))[j]  supposing  i  <  j


By

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Latex:
(InstLemma    `select-filter-from-upto-order-preserving`  []
  THEN  RepeatFor  5  (ParallelLast')
  THEN  D  -1
  THEN  Auto)

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