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Step * 1 of Lemma cantor-interval-rless

.....basecase..... 
1. a : ℝ
2. b : ℝ
3. a < b
⊢ ∀f:ℕ0 ⟶ 𝔹. ((fst(cantor-interval(a;b;f;0))) < (snd(cantor-interval(a;b;f;0))))
BY
{ (RepUR ``cantor-interval`` 0 THEN Auto) }

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Latex:

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Latex:
.....basecase..... 
1.  a  :  \mBbbR{}
2.  b  :  \mBbbR{}
3.  a  <  b
\mvdash{}  \mforall{}f:\mBbbN{}0  {}\mrightarrow{}  \mBbbB{}.  ((fst(cantor-interval(a;b;f;0)))  <  (snd(cantor-interval(a;b;f;0))))


By

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Latex:
(RepUR  ``cantor-interval``  0  THEN  Auto)

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