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Step * of Lemma fresh-cname-not-equal

∀I:Cname List. ∀[x:nameset(I)]. (¬(fresh-cname(I) = x ∈ Cname))
BY
{ (Auto THEN GenConclTerm ⌜fresh-cname(I)⌝⋅ THEN Auto) }

1
1. I : Cname List
2. x : nameset(I)
3. v : {x:Cname| ¬(x ∈ I)} 
4. fresh-cname(I) = v ∈ {x:Cname| ¬(x ∈ I)} 
⊢ ¬(v = x ∈ Cname)

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Latex:

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Latex:
\mforall{}I:Cname  List.  \mforall{}[x:nameset(I)].  (\mneg{}(fresh-cname(I)  =  x))


By

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Latex:
(Auto  THEN  GenConclTerm  \mkleeneopen{}fresh-cname(I)\mkleeneclose{}\mcdot{}  THEN  Auto)

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