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Step * 1 1 1 of Lemma mcompact-rat-cube


1. k : ℕ
2. c : ℚCube(k)
3. i : ℕk
4. ↑Inhabited(c i)
⊢ (fst((c i))) ≤ (snd((c i)))
BY
{ (MoveToConcl (-1)
   THEN (GenConclTerm ⌜c i⌝⋅ THENA Auto)
   THEN D -2
   THEN RepUR ``inhabited-rat-interval`` 0
   THEN RW assert_pushdownC 0
   THEN Auto) }

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Latex:

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Latex:

1.  k  :  \mBbbN{}
2.  c  :  \mBbbQ{}Cube(k)
3.  i  :  \mBbbN{}k
4.  \muparrow{}Inhabited(c  i)
\mvdash{}  (fst((c  i)))  \mleq{}  (snd((c  i)))


By

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Latex:
(MoveToConcl  (-1)
  THEN  (GenConclTerm  \mkleeneopen{}c  i\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  D  -2
  THEN  RepUR  ``inhabited-rat-interval``  0
  THEN  RW  assert\_pushdownC  0
  THEN  Auto)

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