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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