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Step * 1 of Lemma partition-choice-ap_wf


1. I : Interval
2. icompact(I)
3. p : partition(I)
4. x : partition-choice(full-partition(I;p))
5. ∀i:ℕ||full-partition(I;p)|| - 1. (x i ∈ {x:ℝ| x ∈ I} )
⊢ ||p|| + 1 ~ ||full-partition(I;p)|| - 1
BY
{ (RepUR ``full-partition`` 0 THEN Auto) }

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Latex:

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Latex:

1.  I  :  Interval
2.  icompact(I)
3.  p  :  partition(I)
4.  x  :  partition-choice(full-partition(I;p))
5.  \mforall{}i:\mBbbN{}||full-partition(I;p)||  -  1.  (x  i  \mmember{}  \{x:\mBbbR{}|  x  \mmember{}  I\}  )
\mvdash{}  ||p||  +  1  \msim{}  ||full-partition(I;p)||  -  1


By

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Latex:
(RepUR  ``full-partition``  0  THEN  Auto)

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