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Step * 2 of Lemma rat-cube-complex-polyhedron-compact1

.....antecedent..... 
1. k : ℕ
2. K : ℚCube(k) List
3. 0 < ||K||
4. (∀c∈K.↑Inhabited(c))
⊢ ℕ||K||
BY
{ (UseWitness ⌜0⌝⋅ THEN Auto) }

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Latex:

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Latex:
.....antecedent..... 
1.  k  :  \mBbbN{}
2.  K  :  \mBbbQ{}Cube(k)  List
3.  0  <  ||K||
4.  (\mforall{}c\mmember{}K.\muparrow{}Inhabited(c))
\mvdash{}  \mBbbN{}||K||


By

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Latex:
(UseWitness  \mkleeneopen{}0\mkleeneclose{}\mcdot{}  THEN  Auto)

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