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Step * of Lemma member-permutations-list

∀n:ℕ. ∀f:ℕn →⟶ ℕn.  (f ∈ permutations-list(n))
BY
{ (Auto
   THEN (GenConclTerm ⌜permutations-list(n)⌝⋅ THENA Auto)
   THEN D -2
   THEN SupposeNot
   THEN Assert ⌜False⌝⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}n:\mBbbN{}.  \mforall{}f:\mBbbN{}n  \mrightarrow{}{}\mrightarrow{}  \mBbbN{}n.    (f  \mmember{}  permutations-list(n))


By

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Latex:
(Auto
  THEN  (GenConclTerm  \mkleeneopen{}permutations-list(n)\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  D  -2
  THEN  SupposeNot
  THEN  Assert  \mkleeneopen{}False\mkleeneclose{}\mcdot{}
  THEN  Auto)

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