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Step * 1 1 1 of Lemma mesh-uniform-partition


1. I : Interval
2. icompact(I)
3. k : ℕ+
4. 2 ≤ ||full-partition(I;uniform-partition(I;k))||
5. i : ℕ(||full-partition(I;uniform-partition(I;k))|| - 2) + 1
6. ||full-partition(I;uniform-partition(I;k))|| = (k + 1) ∈ ℤ
7. i < k
⊢ (-(left-endpoint(I)) + right-endpoint(I)) = |I|
BY
{ (Unfold `i-length` 0⋅ THEN Auto) }

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Latex:

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Latex:

1.  I  :  Interval
2.  icompact(I)
3.  k  :  \mBbbN{}\msupplus{}
4.  2  \mleq{}  ||full-partition(I;uniform-partition(I;k))||
5.  i  :  \mBbbN{}(||full-partition(I;uniform-partition(I;k))||  -  2)  +  1
6.  ||full-partition(I;uniform-partition(I;k))||  =  (k  +  1)
7.  i  <  k
\mvdash{}  (-(left-endpoint(I))  +  right-endpoint(I))  =  |I|


By

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Latex:
(Unfold  `i-length`  0\mcdot{}  THEN  Auto)

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