Step * 3 1 of Lemma general-cantor-to-int-uniform-continuity-half-squashed

.....antecedent..... 
1. : ℕ ⟶ ℕ+
2. (i:ℕ ⟶ ℕB[i]) ⟶ ℤ
⊢ ∃r:ℕ ⟶ ℕ. ∀x:ℕ((r x) x ∈ ℕ)
BY
(D With ⌜λx.x⌝  THEN Auto) }


Latex:


Latex:
.....antecedent..... 
1.  B  :  \mBbbN{}  {}\mrightarrow{}  \mBbbN{}\msupplus{}
2.  F  :  (i:\mBbbN{}  {}\mrightarrow{}  \mBbbN{}B[i])  {}\mrightarrow{}  \mBbbZ{}
\mvdash{}  \mexists{}r:\mBbbN{}  {}\mrightarrow{}  \mBbbN{}.  \mforall{}x:\mBbbN{}.  ((r  x)  =  x)


By


Latex:
(D  0  With  \mkleeneopen{}\mlambda{}x.x\mkleeneclose{}    THEN  Auto)




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