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Step * of Lemma exact-reduce-constraints-sqequal

∀[w:ℤ List]. ∀[j:ℕ||w||]. ∀[L:{l:ℤ List| ||l|| = ||w|| ∈ ℤ}  List].
  (exact-reduce-constraints(w;j;L) ~ map(λv.-(w[j] * v[j]) * w\j + v\j;L))
BY
{ (Auto THEN Unfold `exact-reduce-constraints` 0) }

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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))
= 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)  \msim{}  map(\mlambda{}v.-(w[j]  *  v[j])  *  w\mbackslash{}j  +  v\mbackslash{}j;L))


By

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Latex:
(Auto  THEN  Unfold  `exact-reduce-constraints`  0)

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