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


1. I : Cname List
⊢ I = [fresh-cname(I) / I]-[fresh-cname(I)] ∈ (Cname List)
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)} 
⊢ I = [v / I]-[v] ∈ (Cname List)


Latex:


Latex:

1.  I  :  Cname  List
\mvdash{}  I  =  [fresh-cname(I)  /  I]-[fresh-cname(I)]


By


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




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