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Step * of Lemma fps-deriv-scalar-mul

∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[f:PowerSeries(X;r)]. ∀[c:|r|]. ∀[x:X].
  (d(c)*f/dx = (c)*df/dx ∈ PowerSeries(X;r))
BY
{ (Auto THEN BLemma `fps-ext` THEN Auto THEN RepUR ``fps-scalar-mul fps-deriv fps-coeff`` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[X:Type].  \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[f:PowerSeries(X;r)].  \mforall{}[c:|r|].  \mforall{}[x:X].
    (d(c)*f/dx  =  (c)*df/dx)


By

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Latex:
(Auto  THEN  BLemma  `fps-ext`  THEN  Auto  THEN  RepUR  ``fps-scalar-mul  fps-deriv  fps-coeff``  0  THEN  Auto)

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