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Step * of Lemma member-rat-cube-complex-inhabited

No Annotations
∀[k:ℕ]. ∀[c:ℚCube(k)].  ↑Inhabited(c) supposing ∃n:ℕ. ∃K:n-dim-complex. (c ∈ K)
BY
{ (Auto
   THEN ExRepD
   THEN DVar `K'
   THEN Unhide
   THEN Auto
   THEN (RWO "l_all_iff" (-2) THENA Auto)
   THEN (Assert dim(c) = n ∈ ℤ BY
               Auto)
   THEN Unfold `rat-cube-dimension` -1
   THEN SplitOnHypITE -1 
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[k:\mBbbN{}].  \mforall{}[c:\mBbbQ{}Cube(k)].    \muparrow{}Inhabited(c)  supposing  \mexists{}n:\mBbbN{}.  \mexists{}K:n-dim-complex.  (c  \mmember{}  K)


By

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Latex:
(Auto
  THEN  ExRepD
  THEN  DVar  `K'
  THEN  Unhide
  THEN  Auto
  THEN  (RWO  "l\_all\_iff"  (-2)  THENA  Auto)
  THEN  (Assert  dim(c)  =  n  BY
                          Auto)
  THEN  Unfold  `rat-cube-dimension`  -1
  THEN  SplitOnHypITE  -1 
  THEN  Auto)

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