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Step * 1 1 1 of Lemma iota_wf

.....subterm..... T:t
1:n
1. I : Cname List
2. x : Cname
3. z : nameset(I)
⊢ z ∈ extd-nameset([x / I])
BY
{ (SubsumeC ⌜nameset([x / I])⌝⋅ THEN Auto) }

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Latex:

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Latex:
.....subterm.....  T:t
1:n
1.  I  :  Cname  List
2.  x  :  Cname
3.  z  :  nameset(I)
\mvdash{}  z  \mmember{}  extd-nameset([x  /  I])


By

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Latex:
(SubsumeC  \mkleeneopen{}nameset([x  /  I])\mkleeneclose{}\mcdot{}  THEN  Auto)

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