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Step * 1 of Lemma real-has-value


1. x : ℕ+ ⟶ ℤ
2. [%1] : regular-seq(x)
⊢ (x)↓
BY
{ (InstLemma `function-value-type` [⌜ℕ+⌝;⌜λ2n.ℤ⌝]⋅ THENA Auto) }

1
.....antecedent..... 
1. x : ℕ+ ⟶ ℤ
2. regular-seq(x)
⊢ ↓∃a:ℕ+. value-type(ℤ)

2
1. x : ℕ+ ⟶ ℤ
2. [%1] : regular-seq(x)
3. value-type(a:ℕ+ ⟶ ℤ)
⊢ (x)↓

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Latex:

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Latex:

1.  x  :  \mBbbN{}\msupplus{}  {}\mrightarrow{}  \mBbbZ{}
2.  [\%1]  :  regular-seq(x)
\mvdash{}  (x)\mdownarrow{}


By

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Latex:
(InstLemma  `function-value-type`  [\mkleeneopen{}\mBbbN{}\msupplus{}\mkleeneclose{};\mkleeneopen{}\mlambda{}\msubtwo{}n.\mBbbZ{}\mkleeneclose{}]\mcdot{}  THENA  Auto)

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