---

Step * 1 1 1 of Lemma infinitesmal-iff


1. x : ℝ*
2. r : {r:ℝ| r0 < r} 
3. k : ℕ+
4. (r1/r(k)) < r
5. |x| < ((r1/r(k)))*
6. ((r1/r(k)))* < (r)*
⊢ |x| < (r)*
BY
{ (RelRST THEN Auto) }

---

Latex:

---

Latex:

1.  x  :  \mBbbR{}*
2.  r  :  \{r:\mBbbR{}|  r0  <  r\} 
3.  k  :  \mBbbN{}\msupplus{}
4.  (r1/r(k))  <  r
5.  |x|  <  ((r1/r(k)))*
6.  ((r1/r(k)))*  <  (r)*
\mvdash{}  |x|  <  (r)*


By

---

Latex:
(RelRST  THEN  Auto)

---

Home Index