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Step * 2 1 of Lemma rat-complex-subdiv-polyhedron

.....assertion..... 
1. k : ℕ
2. n : ℕ
3. K : n-dim-complex
4. x : ℝ^k
5. c : ℚCube(k)
6. (c ∈ K)
7. in-rat-cube(k;x;c)
⊢ ¬¬(∃h:ℚCube(k). ((↑is-half-cube(k;h;c)) ∧ in-rat-cube(k;x;h)))
BY
{ (BLemma `in-some-half-cube` THEN Auto) }

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Latex:

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Latex:
.....assertion..... 
1.  k  :  \mBbbN{}
2.  n  :  \mBbbN{}
3.  K  :  n-dim-complex
4.  x  :  \mBbbR{}\^{}k
5.  c  :  \mBbbQ{}Cube(k)
6.  (c  \mmember{}  K)
7.  in-rat-cube(k;x;c)
\mvdash{}  \mneg{}\mneg{}(\mexists{}h:\mBbbQ{}Cube(k).  ((\muparrow{}is-half-cube(k;h;c))  \mwedge{}  in-rat-cube(k;x;h)))


By

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Latex:
(BLemma  `in-some-half-cube`  THEN  Auto)

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