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Step * of Lemma sum-in-vs_wf

∀[K:Rng]. ∀[vs:VectorSpace(K)]. ∀[n,m:ℤ]. ∀[f:{n..m + 1-} ⟶ Point(vs)].  (Σ{f[i] | n≤i≤m} ∈ Point(vs))
BY
{ (InstLemma `vs-bag-add_wf` []
   THEN RepeatFor 2 (ParallelLast')
   THEN RepeatFor 2 (Intro)
   THEN (D -3 With ⌜{n..m + 1-}⌝  THENA Auto)
   THEN ParallelLast'
   THEN (D -1 With ⌜[n, m + 1)⌝  THENA Auto)
   THEN Fold `sum-in-vs` (-1)
   THEN Trivial) }

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Latex:

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Latex:
\mforall{}[K:Rng].  \mforall{}[vs:VectorSpace(K)].  \mforall{}[n,m:\mBbbZ{}].  \mforall{}[f:\{n..m  +  1\msupminus{}\}  {}\mrightarrow{}  Point(vs)].
    (\mSigma{}\{f[i]  |  n\mleq{}i\mleq{}m\}  \mmember{}  Point(vs))


By

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Latex:
(InstLemma  `vs-bag-add\_wf`  []
  THEN  RepeatFor  2  (ParallelLast')
  THEN  RepeatFor  2  (Intro)
  THEN  (D  -3  With  \mkleeneopen{}\{n..m  +  1\msupminus{}\}\mkleeneclose{}    THENA  Auto)
  THEN  ParallelLast'
  THEN  (D  -1  With  \mkleeneopen{}[n,  m  +  1)\mkleeneclose{}    THENA  Auto)
  THEN  Fold  `sum-in-vs`  (-1)
  THEN  Trivial)

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