Step
*
1
of Lemma
atan-approx-property
.....assertion..... 
1. k : ℕ
2. x : ℝ
3. N : ℕ+
4. |x| ≤ (r1/r(2))
⊢ |x * x| ≤ (r1/r(4))
BY
{ (InstLemma `rnexp_functionality_wrt_rleq` [⌜|x|⌝;⌜(r1/r(2))⌝;⌜2⌝]⋅ THENA Auto) }
1
1. k : ℕ
2. x : ℝ
3. N : ℕ+
4. |x| ≤ (r1/r(2))
5. |x|^2 ≤ (r1/r(2))^2
⊢ |x * x| ≤ (r1/r(4))
Latex:
Latex:
.....assertion..... 
1.  k  :  \mBbbN{}
2.  x  :  \mBbbR{}
3.  N  :  \mBbbN{}\msupplus{}
4.  |x|  \mleq{}  (r1/r(2))
\mvdash{}  |x  *  x|  \mleq{}  (r1/r(4))
By
Latex:
(InstLemma  `rnexp\_functionality\_wrt\_rleq`  [\mkleeneopen{}|x|\mkleeneclose{};\mkleeneopen{}(r1/r(2))\mkleeneclose{};\mkleeneopen{}2\mkleeneclose{}]\mcdot{}  THENA  Auto)
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