Step
*
of Lemma
d-conv_wf
∀[r:CRng]. ∀[f,g:ℕ ⟶ |r|].  (d-conv(r;f;g) ∈ ℕ ⟶ |r|)
BY
{ xxxAssert ⌜∀n:ℕ. (two-factorizations(n) ∈ bag(ℕ × ℕ))⌝⋅xxx }
1
.....assertion..... 
∀n:ℕ. (two-factorizations(n) ∈ bag(ℕ × ℕ))
2
1. ∀n:ℕ. (two-factorizations(n) ∈ bag(ℕ × ℕ))
⊢ ∀[r:CRng]. ∀[f,g:ℕ ⟶ |r|].  (d-conv(r;f;g) ∈ ℕ ⟶ |r|)
Latex:
Latex:
\mforall{}[r:CRng].  \mforall{}[f,g:\mBbbN{}  {}\mrightarrow{}  |r|].    (d-conv(r;f;g)  \mmember{}  \mBbbN{}  {}\mrightarrow{}  |r|)
By
Latex:
xxxAssert  \mkleeneopen{}\mforall{}n:\mBbbN{}.  (two-factorizations(n)  \mmember{}  bag(\mBbbN{}  \mtimes{}  \mBbbN{}))\mkleeneclose{}\mcdot{}xxx
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