Step * of Lemma mul_ac_1_fps

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[X:Type]
  ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[a,b,c:PowerSeries(X;r)].  ((a*(b*c)) (b*(a*c)) ∈ PowerSeries(X;r)) 
  supposing valueall-type(X)
BY
(RepeatFor ((D THENA Auto)) THEN (ProveSpecializedLemmaWReduce crng_times_ac_1) [⌜parm{i}⌝; ⌜fps-rng(r)⌝]⋅}


Latex:


Latex:
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\mforall{}[X:Type]
    \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[a,b,c:PowerSeries(X;r)].    ((a*(b*c))  =  (b*(a*c))) 
    supposing  valueall-type(X)


By


Latex:
(RepeatFor  3  ((D  0  THENA  Auto))
  THEN  (ProveSpecializedLemmaWReduce  crng\_times\_ac\_1)  1  [\mkleeneopen{}parm\{i\}\mkleeneclose{};  \mkleeneopen{}fps-rng(r)\mkleeneclose{}]\mcdot{}
  )




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