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Step * 1 of Lemma finite-sequence-coding-exists


1. k : ℕ
2. b1 : ℕk ⟶ ℕ
⊢ ∃a:ℕ. (coded-seq(a) = <k, b1> ∈ (k:ℕ × (ℕk ⟶ ℕ)))
BY
{ xxx(With ⌜code-seq(k;b1)⌝ (D 0)⋅ THEN Auto)xxx }

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Latex:

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Latex:

1.  k  :  \mBbbN{}
2.  b1  :  \mBbbN{}k  {}\mrightarrow{}  \mBbbN{}
\mvdash{}  \mexists{}a:\mBbbN{}.  (coded-seq(a)  =  <k,  b1>)


By

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Latex:
xxx(With  \mkleeneopen{}code-seq(k;b1)\mkleeneclose{}  (D  0)\mcdot{}  THEN  Auto)xxx

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