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Step * of Lemma member-rat-complex-subdiv-sub-cube

No Annotations
∀k,n:ℕ. ∀K:n-dim-complex. ∀c:ℚCube(k).  ((c ∈ (K)') ⇒ (∃a:ℚCube(k). ((a ∈ K) ∧ rat-sub-cube(k;c;a))))
BY
{ (InstLemma `member-rat-complex-subdiv2` []
   THEN RepeatFor 4 (ParallelLast')
   THEN RWO "-1" 0
   THEN Auto
   THEN ParallelLast
   THEN Auto
   THEN (Assert ↑Inhabited(a) BY
               (BLemma `member-rat-cube-complex-inhabited` THEN Auto))
   THEN EAuto 1) }

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Latex:

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Latex:
No  Annotations
\mforall{}k,n:\mBbbN{}.  \mforall{}K:n-dim-complex.  \mforall{}c:\mBbbQ{}Cube(k).
    ((c  \mmember{}  (K)')  {}\mRightarrow{}  (\mexists{}a:\mBbbQ{}Cube(k).  ((a  \mmember{}  K)  \mwedge{}  rat-sub-cube(k;c;a))))


By

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Latex:
(InstLemma  `member-rat-complex-subdiv2`  []
  THEN  RepeatFor  4  (ParallelLast')
  THEN  RWO  "-1"  0
  THEN  Auto
  THEN  ParallelLast
  THEN  Auto
  THEN  (Assert  \muparrow{}Inhabited(a)  BY
                          (BLemma  `member-rat-cube-complex-inhabited`  THEN  Auto))
  THEN  EAuto  1)

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