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Step * 1 1 2 of Lemma strong-continuous-list

.....wf..... 
1. F : Type ⟶ Type
2. Continuous+(T.F T)
3. X : ℕ ⟶ Type
4. x : ⋂n:ℕ. ((F (X n)) List)
⊢ ℕ||x|| ∈ Type
BY
{ xxx(GenConcl ⌜x = z ∈ ((F (X 0)) List)⌝⋅ THEN Auto THEN With ⌜0⌝ (DVar `x')⋅ THEN Auto)xxx }

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Latex:

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Latex:
.....wf..... 
1.  F  :  Type  {}\mrightarrow{}  Type
2.  Continuous+(T.F  T)
3.  X  :  \mBbbN{}  {}\mrightarrow{}  Type
4.  x  :  \mcap{}n:\mBbbN{}.  ((F  (X  n))  List)
\mvdash{}  \mBbbN{}||x||  \mmember{}  Type


By

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Latex:
xxx(GenConcl  \mkleeneopen{}x  =  z\mkleeneclose{}\mcdot{}  THEN  Auto  THEN  With  \mkleeneopen{}0\mkleeneclose{}  (DVar  `x')\mcdot{}  THEN  Auto)xxx

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