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Step * 1 1 1 1 of Lemma fresh-cname-not-member


1. I : Cname List
⊢ (fresh-cname(I) ∈ nameset(I)) ⇒ False
BY
{ (GenConclTerm ⌜fresh-cname(I)⌝⋅ THENA Auto) }

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

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Latex:

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Latex:

1.  I  :  Cname  List
\mvdash{}  (fresh-cname(I)  \mmember{}  nameset(I))  {}\mRightarrow{}  False


By

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

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