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Step * 2 1 of Lemma infinitesmal-iff


1. x : ℝ*
2. ∀r:{r:ℝ| r0 < r} . |x| < (r)*
3. n : ℕ+
⊢ |x| < ((r1/r(n)))*
BY
{ (D 2 With ⌜(r1/r(n))⌝  THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}*
2.  \mforall{}r:\{r:\mBbbR{}|  r0  <  r\}  .  |x|  <  (r)*
3.  n  :  \mBbbN{}\msupplus{}
\mvdash{}  |x|  <  ((r1/r(n)))*


By

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Latex:
(D  2  With  \mkleeneopen{}(r1/r(n))\mkleeneclose{}    THEN  Auto)

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