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Step * of Lemma fps-summation_wf

∀[X:Type]. ∀[r:CRng]. ∀[T:Type]. ∀[f:T ⟶ PowerSeries(X;r)]. ∀[b:bag(T)].
  (fps-summation(r;b;x.f[x]) ∈ PowerSeries(X;r))
BY
{ (ProveWfLemma THEN D 0 THEN Reduce 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[X:Type].  \mforall{}[r:CRng].  \mforall{}[T:Type].  \mforall{}[f:T  {}\mrightarrow{}  PowerSeries(X;r)].  \mforall{}[b:bag(T)].
    (fps-summation(r;b;x.f[x])  \mmember{}  PowerSeries(X;r))


By

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Latex:
(ProveWfLemma  THEN  D  0  THEN  Reduce  0  THEN  Auto)

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