Step 
*
 of Lemma 
mul_comm_fps
No Annotations
∀[X:Type]
  ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[a,b:PowerSeries(X;r)].  ((a*b) = (b*a) ∈ PowerSeries(X;r)) supposing valueall-type(X)
BY
 
{ (RepeatFor 3 ((D 0 THENA Auto)) THEN (ProveSpecializedLemmaWReduce crng_times_comm) 1 [⌜parm{i}⌝;⌜fps-rng(r)⌝]⋅) }
 
Latex: 
Latex:
No  Annotations
\mforall{}[X:Type]
    \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[a,b:PowerSeries(X;r)].    ((a*b)  =  (b*a))  
    supposing  valueall-type(X)
 By 
Latex:
(RepeatFor  3  ((D  0  THENA  Auto))
  THEN  (ProveSpecializedLemmaWReduce  crng\_times\_comm)  1  [\mkleeneopen{}parm\{i\}\mkleeneclose{};\mkleeneopen{}fps-rng(r)\mkleeneclose{}]\mcdot{}
  )
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