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


1. I : Cname List
2. v : {x:Cname| ¬(x ∈ I)} 
3. fresh-cname(I) = v ∈ {x:Cname| ¬(x ∈ I)} 
4. (v ∈ [v])
⊢ I = I-[v] ∈ (Cname List)
BY
{ (RWO "list-diff-disjoint" 0 THEN Auto) }

1
.....rewrite subgoal..... 
1. I : Cname List
2. v : {x:Cname| ¬(x ∈ I)} 
3. fresh-cname(I) = v ∈ {x:Cname| ¬(x ∈ I)} 
4. (v ∈ [v])
⊢ l_disjoint(Cname;I;[v])

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Latex:

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Latex:

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


By

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

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