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Step * of Lemma cubical-universe-at

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∀[I,a:Top].  (c𝕌(a) ~ A:{formal-cube(I) ⊢ _} × formal-cube(I) ⊢ CompOp(A))
BY
{ ((D 0 THENA Auto)
   THEN (RepUR ``cubical-type-at cubical-universe closed-type-to-type`` 0
         THEN RepUR ``closed-cubical-universe fibrant-type`` 0
         )
   THEN Auto) }

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Latex:

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Latex:
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\mforall{}[I,a:Top].    (c\mBbbU{}(a)  \msim{}  A:\{formal-cube(I)  \mvdash{}  \_\}  \mtimes{}  formal-cube(I)  \mvdash{}  CompOp(A))


By

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Latex:
((D  0  THENA  Auto)
  THEN  (RepUR  ``cubical-type-at  cubical-universe  closed-type-to-type``  0
              THEN  RepUR  ``closed-cubical-universe  fibrant-type``  0
              )
  THEN  Auto)

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