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Step * of Lemma fps-elim-x-elim-y

∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[x,y:X]. ∀[g:PowerSeries(X;r)].
  (g(x:=0)(y:=0) = g(y:=0)(x:=0) ∈ PowerSeries(X;r))
BY
{ (Auto THEN BLemma `fps-ext` THEN Auto THEN RepUR ``fps-elim-x fps-elim fps-coeff`` 0 THEN RepeatFor 2 (AutoSplit)) }

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Latex:

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Latex:
\mforall{}[X:Type].  \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[x,y:X].  \mforall{}[g:PowerSeries(X;r)].
    (g(x:=0)(y:=0)  =  g(y:=0)(x:=0))


By

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Latex:
(Auto
  THEN  BLemma  `fps-ext`
  THEN  Auto
  THEN  RepUR  ``fps-elim-x  fps-elim  fps-coeff``  0
  THEN  RepeatFor  2  (AutoSplit))

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