Step
*
of Lemma
free-from-atom-IdLnk
∀[a:Atom1]. ∀[l:IdLnk].  a#l:IdLnk
BY
{ (Unfold `IdLnk` 0
   THEN Auto
   THEN RepeatFor 2 (D -1)
   THEN FreeFromAtomApElim ⌈l1⌉⋅
   THEN Auto
   THEN FreeFromAtomApElim ⌈l3⌉⋅
   THEN Auto
   THEN FreeFromAtomApElim ⌈l4⌉⋅
   THEN Auto) }
Latex:
\mforall{}[a:Atom1].  \mforall{}[l:IdLnk].    a\#l:IdLnk
By
(Unfold  `IdLnk`  0
  THEN  Auto
  THEN  RepeatFor  2  (D  -1)
  THEN  FreeFromAtomApElim  \mkleeneopen{}l1\mkleeneclose{}\mcdot{}
  THEN  Auto
  THEN  FreeFromAtomApElim  \mkleeneopen{}l3\mkleeneclose{}\mcdot{}
  THEN  Auto
  THEN  FreeFromAtomApElim  \mkleeneopen{}l4\mkleeneclose{}\mcdot{}
  THEN  Auto)
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