Step
*
of Lemma
rtan-arctangent
∀[x:ℝ]. (rtan(arctangent(x)) = x)
BY
{ (Auto
   THEN (InstLemma `arctangent-bounds` [⌜x⌝]⋅ THEN Auto)
   THEN BLemma `arctangent_one_one`
   THEN Auto
   THEN RWO "arctangent-rtan" 0
   THEN Auto) }
Latex:
Latex:
\mforall{}[x:\mBbbR{}].  (rtan(arctangent(x))  =  x)
By
Latex:
(Auto
  THEN  (InstLemma  `arctangent-bounds`  [\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THEN  Auto)
  THEN  BLemma  `arctangent\_one\_one`
  THEN  Auto
  THEN  RWO  "arctangent-rtan"  0
  THEN  Auto)
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