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Step * 1 of Lemma product-factors


1. n : ℕ+
2. n ≠ 1
⊢ Π(factorization(n))  = n ∈ ℤ
BY
{ xxx(GenConclTerm ⌜factorization(n)⌝⋅ THENA Auto)xxx }

1
1. n : ℕ+
2. n ≠ 1
3. v : {factors:{m:{2...}| prime(m)}  List| n = Π(factors)  ∈ ℤ} 
4. factorization(n) = v ∈ {factors:{m:{2...}| prime(m)}  List| n = Π(factors)  ∈ ℤ} 
⊢ Π(v)  = n ∈ ℤ

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Latex:

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Latex:

1.  n  :  \mBbbN{}\msupplus{}
2.  n  \mneq{}  1
\mvdash{}  \mPi{}(factorization(n))    =  n


By

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Latex:
xxx(GenConclTerm  \mkleeneopen{}factorization(n)\mkleeneclose{}\mcdot{}  THENA  Auto)xxx

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