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Step * of Lemma exact-reduce-constraints_wf

∀[w:ℤ List]. ∀[j:ℕ||w||]. ∀[L:{l:ℤ List| ||l|| = ||w|| ∈ ℤ}  List].
  (exact-reduce-constraints(w;j;L) ∈ {l:ℤ List| ||l|| = (||w|| - 1) ∈ ℤ}  List)
BY
{ ProveWfLemma }

1
1. w : ℤ List
2. j : ℕ||w||
3. L : {l:ℤ List| ||l|| = ||w|| ∈ ℤ}  List
⊢ evalall(map(λv.-(w[j] * v[j]) * w\j + v\j;L)) ∈ {l:ℤ List| ||l|| = (||w|| - 1) ∈ ℤ}  List

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Latex:

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Latex:
\mforall{}[w:\mBbbZ{}  List].  \mforall{}[j:\mBbbN{}||w||].  \mforall{}[L:\{l:\mBbbZ{}  List|  ||l||  =  ||w||\}    List].
    (exact-reduce-constraints(w;j;L)  \mmember{}  \{l:\mBbbZ{}  List|  ||l||  =  (||w||  -  1)\}    List)


By

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Latex:
ProveWfLemma

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