Step * 1 1 of Lemma add-remove-fresh-cname


1. Cname List
2. {x:Cname| ¬(x ∈ I)} 
3. fresh-cname(I) v ∈ {x:Cname| ¬(x ∈ I)} 
⊢ [v I]-[v] ∈ (Cname List)
BY
(RWO "list-diff-cons" THEN Auto) }

1
1. Cname List
2. {x:Cname| ¬(x ∈ I)} 
3. fresh-cname(I) v ∈ {x:Cname| ¬(x ∈ I)} 
⊢ if v ∈b [v] then I-[v] else [v I-[v]] fi  ∈ (Cname List)


Latex:


Latex:

1.  I  :  Cname  List
2.  v  :  \{x:Cname|  \mneg{}(x  \mmember{}  I)\} 
3.  fresh-cname(I)  =  v
\mvdash{}  I  =  [v  /  I]-[v]


By


Latex:
(RWO  "list-diff-cons"  0  THEN  Auto)




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