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

.....assertion..... 
1. z : ℕ+
⊢ ∃N:ℕ [((4^N * z) ≤ 8^N)]
BY
{ Assert ⌜∃N:ℕ [(z ≤ 2^N)]⌝⋅ }

1
.....assertion..... 
1. z : ℕ+
⊢ ∃N:ℕ [(z ≤ 2^N)]

2
1. z : ℕ+
2. ∃N:ℕ [(z ≤ 2^N)]
⊢ ∃N:ℕ [((4^N * z) ≤ 8^N)]

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Latex:

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Latex:
.....assertion..... 
1.  z  :  \mBbbN{}\msupplus{}
\mvdash{}  \mexists{}N:\mBbbN{}  [((4\^{}N  *  z)  \mleq{}  8\^{}N)]


By

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Latex:
Assert  \mkleeneopen{}\mexists{}N:\mBbbN{}  [(z  \mleq{}  2\^{}N)]\mkleeneclose{}\mcdot{}

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