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Step * 1 1 1 2 1 1 1 1 of Lemma cantor-interval-cauchy


1. z : ℕ+
2. z ≤ 2^log(2;z)
⊢ ∃N:ℕ [(z ≤ 2^N)]
BY
{ (With ⌜log(2;z)⌝ (D 0)⋅ THEN Auto) }

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Latex:

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Latex:

1.  z  :  \mBbbN{}\msupplus{}
2.  z  \mleq{}  2\^{}log(2;z)
\mvdash{}  \mexists{}N:\mBbbN{}  [(z  \mleq{}  2\^{}N)]


By

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Latex:
(With  \mkleeneopen{}log(2;z)\mkleeneclose{}  (D  0)\mcdot{}  THEN  Auto)

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