Step 
*
1
 of Lemma 
fresh-cname-not-member
1. [I] : Cname List
⊢ ¬(fresh-cname(I) ∈ nameset(I))
BY
 
{ D 0 }
1
1. [I] : Cname List
2. fresh-cname(I) ∈ nameset(I)
⊢ False
2
.....wf..... 
1. I : Cname List
⊢ fresh-cname(I) ∈ nameset(I) ∈ Type
 
Latex: 
Latex:
1.  [I]  :  Cname  List
\mvdash{}  \mneg{}(fresh-cname(I)  \mmember{}  nameset(I))
 By 
Latex:
D  0
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