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Step * of Lemma fps-exp-unroll

No Annotations
∀[X:Type]
  ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[n:ℕ+]. ∀[f:PowerSeries(X;r)].  ((f)^(n) = ((f)^(n - 1)*f) ∈ PowerSeries(X;r)) 
  supposing valueall-type(X)
BY
{ (RepeatFor 3 ((D 0 THENA Auto))
   THEN (ProveSpecializedLemmaWReduce rng_nexp_unroll) 1 [⌜parm{i}⌝;⌜fps-rng(r)⌝]⋅
   THEN Fold `fps-exp` (-1)
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[X:Type]
    \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[n:\mBbbN{}\msupplus{}].  \mforall{}[f:PowerSeries(X;r)].    ((f)\^{}(n)  =  ((f)\^{}(n  -  1)*f)) 
    supposing  valueall-type(X)


By

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Latex:
(RepeatFor  3  ((D  0  THENA  Auto))
  THEN  (ProveSpecializedLemmaWReduce  rng\_nexp\_unroll)  1  [\mkleeneopen{}parm\{i\}\mkleeneclose{};\mkleeneopen{}fps-rng(r)\mkleeneclose{}]\mcdot{}
  THEN  Fold  `fps-exp`  (-1)
  THEN  Auto)

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