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Step * 1 of Lemma i-member-finite-closed


1. I : Interval@i
2. i-closed(I)@i
3. i-finite(I)@i
4. r : ℝ@i
5. r ∈ I@i
⊢ left-endpoint(I)≤r≤right-endpoint(I)
BY
{ (BLemma `i-member-finite` THEN Auto) }

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Latex:

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Latex:

1.  I  :  Interval@i
2.  i-closed(I)@i
3.  i-finite(I)@i
4.  r  :  \mBbbR{}@i
5.  r  \mmember{}  I@i
\mvdash{}  left-endpoint(I)\mleq{}r\mleq{}right-endpoint(I)


By

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Latex:
(BLemma  `i-member-finite`  THEN  Auto)

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