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Step * 2 2 of Lemma small-ctrex1-bounds


1. |small-ctrex1() - (r(23)/r(2 * 100 * 10^1141))| ≤ (r1/r(100 * 10^1141))
⊢ (r1/r(10))≤r(10^1141) * small-ctrex1()≤(r1/r(4))
BY
{ (MoveToConcl (-1) THEN (GenConcl ⌜10^1141 = N ∈ ℕ+⌝⋅ THENA EAuto 1) THEN GenConclTerm ⌜small-ctrex1()⌝ ⋅ THEN Auto) }

1
1. N : ℕ+
2. 10^1141 = N ∈ ℕ+
3. v : ℝ
4. small-ctrex1() = v ∈ ℝ
5. |v - (r(23)/r(2 * 100 * N))| ≤ (r1/r(100 * N))
⊢ (r1/r(10))≤r(N) * v≤(r1/r(4))

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Latex:

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Latex:

1.  |small-ctrex1()  -  (r(23)/r(2  *  100  *  10\^{}1141))|  \mleq{}  (r1/r(100  *  10\^{}1141))
\mvdash{}  (r1/r(10))\mleq{}r(10\^{}1141)  *  small-ctrex1()\mleq{}(r1/r(4))


By

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Latex:
(MoveToConcl  (-1)
  THEN  (GenConcl  \mkleeneopen{}10\^{}1141  =  N\mkleeneclose{}\mcdot{}  THENA  EAuto  1)
  THEN  GenConclTerm  \mkleeneopen{}small-ctrex1()\mkleeneclose{}  \mcdot{}
  THEN  Auto)

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