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Step * 1 of Lemma equipollent-product

.....basecase..... 
∀f:ℕ0 ⟶ ℕ. i:ℕ0 ⟶ ℕf[i] ~ ℕΠ(f[i] | i < 0)
BY
{ (Reduce 0 THEN Auto)⋅ }

1
1. f : ℕ0 ⟶ ℕ
⊢ i:ℕ0 ⟶ ℕf[i] ~ ℕ1

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Latex:

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Latex:
.....basecase..... 
\mforall{}f:\mBbbN{}0  {}\mrightarrow{}  \mBbbN{}.  i:\mBbbN{}0  {}\mrightarrow{}  \mBbbN{}f[i]  \msim{}  \mBbbN{}\mPi{}(f[i]  |  i  <  0)


By

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Latex:
(Reduce  0  THEN  Auto)\mcdot{}

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