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Step * 1 2 1 of Lemma nearby-partition-choice

.....equality..... 
1. I : Interval@i
2. icompact(I)
3. p : partition(I)@i
4. q : partition(I)@i
5. e : {e:ℝ| r0 < e} @i
6. nearby-partitions(e;p;q)
7. x : partition-choice(full-partition(I;p))@i
8. nearby-partitions(e;full-partition(I;p);full-partition(I;q))
⊢ ||p|| + 1 ~ ||full-partition(I;p)|| - 1
BY
{ (RepUR ``full-partition`` 0 THEN Auto) }

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Latex:

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Latex:
.....equality..... 
1.  I  :  Interval@i
2.  icompact(I)
3.  p  :  partition(I)@i
4.  q  :  partition(I)@i
5.  e  :  \{e:\mBbbR{}|  r0  <  e\}  @i
6.  nearby-partitions(e;p;q)
7.  x  :  partition-choice(full-partition(I;p))@i
8.  nearby-partitions(e;full-partition(I;p);full-partition(I;q))
\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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