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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