Step
*
of Lemma
product-factors
∀[n:ℕ+]. (Π(factors(n)) = n ∈ ℤ)
BY
{ xxx(Auto THEN RepUR ``factors empty-bag`` 0 THEN (RWO "mul-list-bag-product<" 0 THENA Auto) THEN AutoSplit)xxx }
1
1. n : ℕ+
2. n ≠ 1
⊢ Π(factorization(n)) = n ∈ ℤ
Latex:
Latex:
\mforall{}[n:\mBbbN{}\msupplus{}]. (\mPi{}(factors(n)) = n)
By
Latex:
xxx(Auto
THEN RepUR ``factors empty-bag`` 0
THEN (RWO "mul-list-bag-product<" 0 THENA Auto)
THEN AutoSplit)xxx
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