Step
*
of Lemma
assert-inhabited-rat-cube
∀[k:ℕ]. ∀[c:ℚCube(k)].  uiff(↑Inhabited(c);∀i:ℕk. (↑Inhabited(c i)))
BY
{ ((UnivCD THENA Auto) THEN Unfold `inhabited-rat-cube` 0 THEN RWO "assert-bdd-all" 0 THEN Auto) }
Latex:
Latex:
\mforall{}[k:\mBbbN{}].  \mforall{}[c:\mBbbQ{}Cube(k)].    uiff(\muparrow{}Inhabited(c);\mforall{}i:\mBbbN{}k.  (\muparrow{}Inhabited(c  i)))
By
Latex:
((UnivCD  THENA  Auto)  THEN  Unfold  `inhabited-rat-cube`  0  THEN  RWO  "assert-bdd-all"  0  THEN  Auto)
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