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Step * 1 of Lemma not-rat-cube-third


1. k : ℕ
2. p : ℝ^k
3. c : ℚCube(k)
4. ¬rat-cube-third(k;p;c)
⊢ in-rat-cube(k;p;c)
BY
{ (StableCases ⌜in-rat-cube(k;p;c)⌝⋅ THEN Auto THEN D -2 THEN D 0 THEN Auto) }

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Latex:

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Latex:

1.  k  :  \mBbbN{}
2.  p  :  \mBbbR{}\^{}k
3.  c  :  \mBbbQ{}Cube(k)
4.  \mneg{}rat-cube-third(k;p;c)
\mvdash{}  in-rat-cube(k;p;c)


By

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Latex:
(StableCases  \mkleeneopen{}in-rat-cube(k;p;c)\mkleeneclose{}\mcdot{}  THEN  Auto  THEN  D  -2  THEN  D  0  THEN  Auto)

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