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Step * 1 1 of Lemma r-archimedean2

.....assertion..... 
1. x : ℝ
⊢ ∃N:ℕ. (|x| ≤ (r(N + 1)/r(2)))
BY
{ ((InstLemma `r-archimedean` [⌜r(2) * |x|⌝]⋅ THENA Auto)
   THEN ExRepD
   THEN With ⌜n⌝ (D 0)⋅
   THEN Auto
   THEN nRMul ⌜r(2)⌝ 0⋅
   THEN Auto
   THEN (RWO "-1" 0 THEN Auto)⋅) }

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Latex:

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Latex:
.....assertion..... 
1.  x  :  \mBbbR{}
\mvdash{}  \mexists{}N:\mBbbN{}.  (|x|  \mleq{}  (r(N  +  1)/r(2)))


By

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Latex:
((InstLemma  `r-archimedean`  [\mkleeneopen{}r(2)  *  |x|\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  ExRepD
  THEN  With  \mkleeneopen{}n\mkleeneclose{}  (D  0)\mcdot{}
  THEN  Auto
  THEN  nRMul  \mkleeneopen{}r(2)\mkleeneclose{}  0\mcdot{}
  THEN  Auto
  THEN  (RWO  "-1"  0  THEN  Auto)\mcdot{})

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