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Step * 1 2 1 of Lemma rmul-distrib1

.....wf..... 
1. x : ℝ
2. y : ℝ
3. z : ℝ
4. bdd-diff(reg-seq-list-add([x * y; x * z]);reg-seq-list-add([reg-seq-mul(x;y); reg-seq-mul(x;z)]))
⊢ reg-seq-list-add([reg-seq-mul(x;y); reg-seq-mul(x;z)]) ∈ ℕ+ ⟶ ℤ
BY
{ (RepUR ``reg-seq-list-add`` 0 THEN Auto) }

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Latex:

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Latex:
.....wf..... 
1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  z  :  \mBbbR{}
4.  bdd-diff(reg-seq-list-add([x  *  y;  x  *  z]);reg-seq-list-add([reg-seq-mul(x;y);  reg-seq-mul(x;z)]))
\mvdash{}  reg-seq-list-add([reg-seq-mul(x;y);  reg-seq-mul(x;z)])  \mmember{}  \mBbbN{}\msupplus{}  {}\mrightarrow{}  \mBbbZ{}


By

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Latex:
(RepUR  ``reg-seq-list-add``  0  THEN  Auto)

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