Step * 1 of Lemma fun-converges-to-rexp


1. : ℝ
⊢ Σi.(r1/r((i)!)) x^i e^x
BY
((InstLemma `rexp-is-limit` [⌜x⌝]⋅ THENA Auto)
   THEN MoveToConcl (-1)
   THEN BLemma `series-sum_functionality`
   THEN Auto) }


Latex:


Latex:

1.  x  :  \mBbbR{}
\mvdash{}  \mSigma{}i.(r1/r((i)!))  *  x\^{}i  =  e\^{}x


By


Latex:
((InstLemma  `rexp-is-limit`  [\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  MoveToConcl  (-1)
  THEN  BLemma  `series-sum\_functionality`
  THEN  Auto)




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