Step
*
of Lemma
no_repeats-partial-permutations-list
∀[n:ℕ+]. ∀[i:ℤ].  no_repeats(ℕn →⟶ ℕn;partial-permutations-list(n;i))
BY
{ (Auto
   THEN Unfold `partial-permutations-list` 0
   THEN (GenConclTerm ⌜permutations-list(n)⌝⋅ THENA Auto)
   THEN D -2
   THEN BLemma `no_repeats_filter`
   THEN Auto) }
Latex:
Latex:
\mforall{}[n:\mBbbN{}\msupplus{}].  \mforall{}[i:\mBbbZ{}].    no\_repeats(\mBbbN{}n  \mrightarrow{}{}\mrightarrow{}  \mBbbN{}n;partial-permutations-list(n;i))
By
Latex:
(Auto
  THEN  Unfold  `partial-permutations-list`  0
  THEN  (GenConclTerm  \mkleeneopen{}permutations-list(n)\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  D  -2
  THEN  BLemma  `no\_repeats\_filter`
  THEN  Auto)
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